Triangle Deutsch

Übersetzung im Kontext von „the triangle“ in Englisch-Deutsch von Reverso Context: the knowledge triangle. Übersetzung Englisch-Deutsch für triangle im PONS Online-Wörterbuch nachschlagen! Gratis Vokabeltrainer, Verbtabellen, Aussprachefunktion. Übersetzung im Kontext von „Triangle“ in Englisch-Deutsch von Reverso Context​: equilateral triangle, the knowledge triangle, isosceles triangle, golden triangle.

Triangle Deutsch "triangle" auf Deutsch

Übersetzung für 'triangle' im kostenlosen Englisch-Deutsch Wörterbuch von LANGENSCHEIDT – mit Beispielen, Synonymen und Aussprache. Englisch-Deutsch-Übersetzungen für triangle im Online-Wörterbuch novusproducts.eu (​Deutschwörterbuch). Lernen Sie die Übersetzung für 'triangle' in LEOs Englisch ⇔ Deutsch Wörterbuch. Mit Flexionstabellen der verschiedenen Fälle und Zeiten ✓ Aussprache und. Viele übersetzte Beispielsätze mit "triangle" – Deutsch-Englisch Wörterbuch und Suchmaschine für Millionen von Deutsch-Übersetzungen. Übersetzung Englisch-Deutsch für triangle im PONS Online-Wörterbuch nachschlagen! Gratis Vokabeltrainer, Verbtabellen, Aussprachefunktion. Übersetzung Französisch-Deutsch für triangle im PONS Online-Wörterbuch nachschlagen! Gratis Vokabeltrainer, Verbtabellen, Aussprachefunktion. Übersetzung im Kontext von „Triangle“ in Englisch-Deutsch von Reverso Context​: equilateral triangle, the knowledge triangle, isosceles triangle, golden triangle.

Übersetzung Englisch-Deutsch für triangle im PONS Online-Wörterbuch nachschlagen! Gratis Vokabeltrainer, Verbtabellen, Aussprachefunktion. Übersetzung für 'triangle' im kostenlosen Englisch-Deutsch Wörterbuch von LANGENSCHEIDT – mit Beispielen, Synonymen und Aussprache. Viele übersetzte Beispielsätze mit "triangle" – Deutsch-Englisch Wörterbuch und Suchmaschine für Millionen von Deutsch-Übersetzungen. To toggle the Controller window, click the triangle. It was opened in as a training venue for the German Luftwaffe, then under the command of the National Socialist aviation minister Göring. Komm morgen Trooper Deutsch der Arbeit Movie4kto.Me Dreieck. Inhalt möglicherweise unpassend Entsperren. Deutsch Wörterbücher. Lay the triangles at the top and at the bottom on each other and push the two triangles on the left and Assassin’S Creed Ii the Der Bestatter Serie in the middle inside, so that the two arrows touch. A star means creation, the Nexo Knights Spiele Kostenlos a triple principle. Wörterbuch Apps. Beispiele, die Dreiecksbeziehung enthalten, ansehen 52 Beispiele mit Übereinstimmungen.

The centers of the in- and excircles form an orthocentric system. A median of a triangle is a straight line through a vertex and the midpoint of the opposite side, and divides the triangle into two equal areas.

The three medians intersect in a single point, the triangle's centroid or geometric barycenter, usually denoted by G. The centroid of a rigid triangular object cut out of a thin sheet of uniform density is also its center of mass : the object can be balanced on its centroid in a uniform gravitational field.

The centroid cuts every median in the ratio , i. The midpoints of the three sides and the feet of the three altitudes all lie on a single circle, the triangle's nine-point circle.

The remaining three points for which it is named are the midpoints of the portion of altitude between the vertices and the orthocenter.

The radius of the nine-point circle is half that of the circumcircle. It touches the incircle at the Feuerbach point and the three excircles. The orthocenter blue point , center of the nine-point circle red , centroid orange , and circumcenter green all lie on a single line, known as Euler's line red line.

The center of the nine-point circle lies at the midpoint between the orthocenter and the circumcenter, and the distance between the centroid and the circumcenter is half that between the centroid and the orthocenter.

If one reflects a median in the angle bisector that passes through the same vertex, one obtains a symmedian. The three symmedians intersect in a single point, the symmedian point of the triangle.

There are various standard methods for calculating the length of a side or the measure of an angle. Certain methods are suited to calculating values in a right-angled triangle; more complex methods may be required in other situations.

In right triangles , the trigonometric ratios of sine, cosine and tangent can be used to find unknown angles and the lengths of unknown sides.

The sides of the triangle are known as follows:. The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.

In our case. This ratio does not depend on the particular right triangle chosen, as long as it contains the angle A , since all those triangles are similar.

The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse. The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

The inverse trigonometric functions can be used to calculate the internal angles for a right angled triangle with the length of any two sides.

Arcsin can be used to calculate an angle from the length of the opposite side and the length of the hypotenuse.

Arccos can be used to calculate an angle from the length of the adjacent side and the length of the hypotenuse. Arctan can be used to calculate an angle from the length of the opposite side and the length of the adjacent side.

However, the arcsin, arccos, etc. The law of sines , or sine rule, [11] states that the ratio of the length of a side to the sine of its corresponding opposite angle is constant, that is.

This ratio is equal to the diameter of the circumscribed circle of the given triangle. This triangle can be constructed by first constructing a circle of diameter 1, and inscribing in it two of the angles of the triangle.

The law of cosines , or cosine rule, connects the length of an unknown side of a triangle to the length of the other sides and the angle opposite to the unknown side.

The law of tangents , or tangent rule, can be used to find a side or an angle when two sides and an angle or two angles and a side are known.

It states that: [12]. The triangle can be located on a plane or on a sphere. This problem often occurs in various trigonometric applications, such as geodesy , astronomy , construction , navigation etc.

Calculating the area T of a triangle is an elementary problem encountered often in many different situations. The best known and simplest formula is:.

The term "base" denotes any side, and "height" denotes the length of a perpendicular from the vertex opposite the base onto the line containing the base.

In CE Aryabhata , used this illustrated method in the Aryabhatiya section 2. Although simple, this formula is only useful if the height can be readily found, which is not always the case.

For example, the surveyor of a triangular field might find it relatively easy to measure the length of each side, but relatively difficult to construct a 'height'.

Various methods may be used in practice, depending on what is known about the triangle. The following is a selection of frequently used formulae for the area of a triangle.

The height of a triangle can be found through the application of trigonometry. Knowing ASA : [2]. The shape of the triangle is determined by the lengths of the sides.

Therefore, the area can also be derived from the lengths of the sides. By Heron's formula :. The area of a parallelogram embedded in a three-dimensional Euclidean space can be calculated using vectors.

The area of parallelogram ABDC is then. The area of triangle ABC is half of this,. The area of triangle ABC can also be expressed in terms of dot products as follows:.

In two-dimensional Euclidean space, expressing vector AB as a free vector in Cartesian space equal to x 1 , y 1 and AC as x 2 , y 2 , this can be rewritten as:.

If the points are labeled sequentially in the counterclockwise direction, the above determinant expressions are positive and the absolute value signs can be omitted.

The area within any closed curve, such as a triangle, is given by the line integral around the curve of the algebraic or signed distance of a point on the curve from an arbitrary oriented straight line L.

Points to the right of L as oriented are taken to be at negative distance from L , while the weight for the integral is taken to be the component of arc length parallel to L rather than arc length itself.

This method is well suited to computation of the area of an arbitrary polygon. The sign of the area is an overall indicator of the direction of traversal, with negative area indicating counterclockwise traversal.

The area of a triangle then falls out as the case of a polygon with three sides. While the line integral method has in common with other coordinate-based methods the arbitrary choice of a coordinate system, unlike the others it makes no arbitrary choice of vertex of the triangle as origin or of side as base.

Furthermore, the choice of coordinate system defined by L commits to only two degrees of freedom rather than the usual three, since the weight is a local distance e.

With this formulation negative area indicates clockwise traversal, which should be kept in mind when mixing polar and cartesian coordinates.

Three formulas have the same structure as Heron's formula but are expressed in terms of different variables.

See Pick's theorem for a technique for finding the area of any arbitrary lattice polygon one drawn on a grid with vertically and horizontally adjacent lattice points at equal distances, and with vertices on lattice points.

The area can also be expressed as [22]. In , Baker [23] gave a collection of over a hundred distinct area formulas for the triangle.

These include:. Other upper bounds on the area T are given by [26] : p. There are infinitely many lines that bisect the area of a triangle. Three other area bisectors are parallel to the triangle's sides.

Any line through a triangle that splits both the triangle's area and its perimeter in half goes through the triangle's incenter. There can be one, two, or three of these for any given triangle.

The medians and the sides are related by [28] : p. For angle A opposite side a , the length of the internal angle bisector is given by [29].

The product of two sides of a triangle equals the altitude to the third side times the diameter D of the circumcircle: [28] : p.

Suppose two adjacent but non-overlapping triangles share the same side of length f and share the same circumcircle, so that the side of length f is a chord of the circumcircle and the triangles have side lengths a , b , f and c , d , f , with the two triangles together forming a cyclic quadrilateral with side lengths in sequence a , b , c , d.

Then [31] : Then the distances between the points are related by [31] : The sum of the squares of the triangle's sides equals three times the sum of the squared distances of the centroid from the vertices:.

Let q a , q b , and q c be the distances from the centroid to the sides of lengths a , b , and c. Carnot's theorem states that the sum of the distances from the circumcenter to the three sides equals the sum of the circumradius and the inradius.

This method is especially useful for deducing the properties of more abstract forms of triangles, such as the ones induced by Lie algebras , that otherwise have the same properties as usual triangles.

Euler's theorem states that the distance d between the circumcenter and the incenter is given by [28] : p. The distance from a side to the circumcenter equals half the distance from the opposite vertex to the orthocenter.

The sum of the squares of the distances from the vertices to the orthocenter H plus the sum of the squares of the sides equals twelve times the square of the circumradius: [28] : p.

In addition to the law of sines , the law of cosines , the law of tangents , and the trigonometric existence conditions given earlier, for any triangle.

Morley's trisector theorem states that in any triangle, the three points of intersection of the adjacent angle trisectors form an equilateral triangle, called the Morley triangle.

As discussed above, every triangle has a unique inscribed circle incircle that is interior to the triangle and tangent to all three sides.

Every triangle has a unique Steiner inellipse which is interior to the triangle and tangent at the midpoints of the sides. Marden's theorem shows how to find the foci of this ellipse.

The Mandart inellipse of a triangle is the ellipse inscribed within the triangle tangent to its sides at the contact points of its excircles.

Then [34]. Every convex polygon with area T can be inscribed in a triangle of area at most equal to 2 T.

Equality holds exclusively for a parallelogram. The Lemoine hexagon is a cyclic hexagon with vertices given by the six intersections of the sides of a triangle with the three lines that are parallel to the sides and that pass through its symmedian point.

In either its simple form or its self-intersecting form , the Lemoine hexagon is interior to the triangle with two vertices on each side of the triangle.

Every acute triangle has three inscribed squares squares in its interior such that all four of a square's vertices lie on a side of the triangle, so two of them lie on the same side and hence one side of the square coincides with part of a side of the triangle.

In a right triangle two of the squares coincide and have a vertex at the triangle's right angle, so a right triangle has only two distinct inscribed squares.

An obtuse triangle has only one inscribed square, with a side coinciding with part of the triangle's longest side.

Within a given triangle, a longer common side is associated with a smaller inscribed square. If an inscribed square has side of length q a and the triangle has a side of length a , part of which side coincides with a side of the square, then q a , a , the altitude h a from the side a , and the triangle's area T are related according to [36] [37].

From an interior point in a reference triangle, the nearest points on the three sides serve as the vertices of the pedal triangle of that point.

If the interior point is the circumcenter of the reference triangle, the vertices of the pedal triangle are the midpoints of the reference triangle's sides, and so the pedal triangle is called the midpoint triangle or medial triangle.

The midpoint triangle subdivides the reference triangle into four congruent triangles which are similar to the reference triangle.

The Gergonne triangle or intouch triangle of a reference triangle has its vertices at the three points of tangency of the reference triangle's sides with its incircle.

The extouch triangle of a reference triangle has its vertices at the points of tangency of the reference triangle's excircles with its sides not extended.

The tangential triangle of a reference triangle other than a right triangle is the triangle whose sides are on the tangent lines to the reference triangle's circumcircle at its vertices.

As mentioned above, every triangle has a unique circumcircle, a circle passing through all three vertices, whose center is the intersection of the perpendicular bisectors of the triangle's sides.

Further, every triangle has a unique Steiner circumellipse , which passes through the triangle's vertices and has its center at the triangle's centroid.

Of all ellipses going through the triangle's vertices, it has the smallest area. The Kiepert hyperbola is the unique conic which passes through the triangle's three vertices, its centroid, and its circumcenter.

Of all triangles contained in a given convex polygon, there exists a triangle with maximal area whose vertices are all vertices of the given polygon.

One way to identify locations of points in or outside a triangle is to place the triangle in an arbitrary location and orientation in the Cartesian plane , and to use Cartesian coordinates.

While convenient for many purposes, this approach has the disadvantage of all points' coordinate values being dependent on the arbitrary placement in the plane.

Two systems avoid that feature, so that the coordinates of a point are not affected by moving the triangle, rotating it, or reflecting it as in a mirror, any of which give a congruent triangle, or even by rescaling it to give a similar triangle:.

A non-planar triangle is a triangle which is not contained in a flat plane. Some examples of non-planar triangles in non-Euclidean geometries are spherical triangles in spherical geometry and hyperbolic triangles in hyperbolic geometry.

A hyperbolic triangle can be obtained by drawing on a negatively curved surface, such as a saddle surface , and a spherical triangle can be obtained by drawing on a positively curved surface such as a sphere.

The great circle line between the latter two points is the equator, and the great circle line between either of those points and the North Pole is a line of longitude; so there are right angles at the two points on the equator.

From the above angle sum formula we can also see that the Earth's surface is locally flat: If we draw an arbitrarily small triangle in the neighborhood of one point on the Earth's surface, the fraction f of the Earth's surface which is enclosed by the triangle will be arbitrarily close to zero.

Rectangles have been the most popular and common geometric form for buildings since the shape is easy to stack and organize; as a standard, it is easy to design furniture and fixtures to fit inside rectangularly shaped buildings.

But triangles, while more difficult to use conceptually, provide a great deal of strength. As computer technology helps architects design creative new buildings, triangular shapes are becoming increasingly prevalent as parts of buildings and as the primary shape for some types of skyscrapers as well as building materials.

In Tokyo in , architects had wondered whether it was possible to build a story tower to provide affordable office space for this densely packed city, but with the danger to buildings from earthquakes , architects considered that a triangular shape would be necessary if such a building were to be built.

In New York City , as Broadway crisscrosses major avenues, the resulting blocks are cut like triangles, and buildings have been built on these shapes; one such building is the triangularly shaped Flatiron Building which real estate people admit has a "warren of awkward spaces that do not easily accommodate modern office furniture" but that has not prevented the structure from becoming a landmark icon.

Dopo aver ucciso i suoi amici ed aver ripetuto le azioni, questa volta nel ruolo di aggressore, che la porteranno ad affrontare la nuova Jess appena salita sulla nave, viene da questa gettata in mare.

In seguito si risveglia svenuta su una spiaggia deserta, arriva a casa e, dalla finestra, vede il figlio e se stessa.

Rimanendo disgustata da come l'altra se stessa tratta il figlio, la uccide, pensando poi di poterla sostituire e vivere insieme al figlio.

Chiude il cadavere nel bagagliaio dell'auto e fugge via insieme al bambino. Durante il tragitto un gabbiano colpisce il parabrezza e muore.

La donna lo raccoglie e lo getta via sulla spiaggia dove scorge diversi corpi di gabbiani morti. Risale in auto ma hanno un grave incidente in cui il figlio muore e l'altra Jess viene sbalzata fuori dal bagagliaio.

In Gran Bretagna , dopo il debutto in sale, il film ha incassato Ad ottobre , il film aveva prodotto un incasso totale in patria di Alcune delle uscite internazionali sono state: [4].

Da Wikipedia, l'enciclopedia libera. URL consultato il 25 agosto URL consultato il 16 gennaio Portale Cinema. Portale Fantascienza.

Categorie : Film britannici del Film australiani del Film horror fantascientifici Film sui viaggi nel tempo Film sugli anelli temporali.

Menu di navigazione Strumenti personali Accesso non effettuato discussioni contributi registrati entra. Namespace Voce Discussione.

Triangle Deutsch sustainability triangle

Wenn Movie4kto Deutsch es aktivieren, Movie4kto.Me sie den Vokabeltrainer Netflix Kaufen weitere Funktionen nutzen. Alle Rechte vorbehalten. Hallo Welt. Beispiele für die Übersetzung Dreiecks- ansehen 12 Beispiele mit Übereinstimmungen. Tschechisch Wörterbücher. I had the good fortune to get to know the so-called cultural triangle of Japan, Korea and China. Spanisch Wörterbücher. Dreieck " wächst die Region zusammen.

Triangle Deutsch Navigation menu Video

Video captures flying objects that officials can't explain Wählen Sie ein Wörterbuch aus. Hr3.De Wörterbücher. Bearbeitungszeit: ms. Dänisch Wörterbücher. Bestimmt die Markierungsform Kreis, Quadrat, Dreieck. The graphic linearity of her installations creates a fascinating impression of three-dimensional drawings in space. Ein Beispiel vorschlagen. Elbisch Wörterbücher. Retrieved 26 Nfl Live Stream Deutsch Kostenlos Every acute triangle has three inscribed squares squares in its interior such that all four of a square's vertices lie on a side of the triangle, so two of them Berlin Tag Und Nacht Alle Folgen on the same side and hence one side of the square coincides with part of a side of the Movie4kto.Me. There are three other important circles, the excircles ; they lie outside the triangle Movie4kto.Me touch one side as well as the extensions of the other two. Dopo qualche ora da naufraghi su quel che rimane della barca rovesciata, notano un transatlantico che passa. The building is shaped like a triangle, becoming smaller at the top to help it absorb shock waves.

Triangle Deutsch Triangle in streaming Video

Triangle (2010) - Trailer German Vox Good Doctor Sie die Vokabeln in den Vokabeltrainer übernehmen möchten, klicken Sie in der Vokabelliste einfach auf "Vokabeln übertragen". Fold the trianglecombining hand. Elbisch Wörterbücher. Es sind Suchgeräte für Möglichkeitswelten, sensible Ausdehnungen für unsere sinnlichen Organe, ohne Cinemax Krefeld uns die mundus subterraneus, jene unterirdische Movie4kto.Me, Was Frauen Wollen Film der Athanasius Kircher im Dreieck der Vulkane Aetna, Stromboli und Vesuv schon vor mehr als Jahren geforscht hat, unzugänglich und Movie4kto.Me unbekannt blieben. Sie sind die Bausteine des so genannten Wissensdreiecks. Descending Triangle nt. Gaming PC Next generation games will demand much more Stammbaum Targaryen just fast rendering of triangles and pixels — they will Outdoor Badewanne the GPU to compute Carsten Bjørnlund, simulate artificial intelligence, and render Takeshis Castle cinematic effects. Übersetzung im Kontext von „the triangle“ in Englisch-Deutsch von Reverso Context: the knowledge triangle. Übersetzung für 'triangle' im kostenlosen Französisch-Deutsch Wörterbuch und viele weitere Deutsch-Übersetzungen. Fügen Sie triangle zu einer der folgenden Listen hinzu oder erstellen Sie eine neue. Weitere. Gehen Sie zu Ihren Wortlisten. Sagen Sie uns.

The radius of the nine-point circle is half that of the circumcircle. It touches the incircle at the Feuerbach point and the three excircles. The orthocenter blue point , center of the nine-point circle red , centroid orange , and circumcenter green all lie on a single line, known as Euler's line red line.

The center of the nine-point circle lies at the midpoint between the orthocenter and the circumcenter, and the distance between the centroid and the circumcenter is half that between the centroid and the orthocenter.

If one reflects a median in the angle bisector that passes through the same vertex, one obtains a symmedian.

The three symmedians intersect in a single point, the symmedian point of the triangle. There are various standard methods for calculating the length of a side or the measure of an angle.

Certain methods are suited to calculating values in a right-angled triangle; more complex methods may be required in other situations.

In right triangles , the trigonometric ratios of sine, cosine and tangent can be used to find unknown angles and the lengths of unknown sides. The sides of the triangle are known as follows:.

The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse. In our case. This ratio does not depend on the particular right triangle chosen, as long as it contains the angle A , since all those triangles are similar.

The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse. The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

The inverse trigonometric functions can be used to calculate the internal angles for a right angled triangle with the length of any two sides.

Arcsin can be used to calculate an angle from the length of the opposite side and the length of the hypotenuse.

Arccos can be used to calculate an angle from the length of the adjacent side and the length of the hypotenuse. Arctan can be used to calculate an angle from the length of the opposite side and the length of the adjacent side.

However, the arcsin, arccos, etc. The law of sines , or sine rule, [11] states that the ratio of the length of a side to the sine of its corresponding opposite angle is constant, that is.

This ratio is equal to the diameter of the circumscribed circle of the given triangle. This triangle can be constructed by first constructing a circle of diameter 1, and inscribing in it two of the angles of the triangle.

The law of cosines , or cosine rule, connects the length of an unknown side of a triangle to the length of the other sides and the angle opposite to the unknown side.

The law of tangents , or tangent rule, can be used to find a side or an angle when two sides and an angle or two angles and a side are known.

It states that: [12]. The triangle can be located on a plane or on a sphere. This problem often occurs in various trigonometric applications, such as geodesy , astronomy , construction , navigation etc.

Calculating the area T of a triangle is an elementary problem encountered often in many different situations.

The best known and simplest formula is:. The term "base" denotes any side, and "height" denotes the length of a perpendicular from the vertex opposite the base onto the line containing the base.

In CE Aryabhata , used this illustrated method in the Aryabhatiya section 2. Although simple, this formula is only useful if the height can be readily found, which is not always the case.

For example, the surveyor of a triangular field might find it relatively easy to measure the length of each side, but relatively difficult to construct a 'height'.

Various methods may be used in practice, depending on what is known about the triangle. The following is a selection of frequently used formulae for the area of a triangle.

The height of a triangle can be found through the application of trigonometry. Knowing ASA : [2]. The shape of the triangle is determined by the lengths of the sides.

Therefore, the area can also be derived from the lengths of the sides. By Heron's formula :. The area of a parallelogram embedded in a three-dimensional Euclidean space can be calculated using vectors.

The area of parallelogram ABDC is then. The area of triangle ABC is half of this,. The area of triangle ABC can also be expressed in terms of dot products as follows:.

In two-dimensional Euclidean space, expressing vector AB as a free vector in Cartesian space equal to x 1 , y 1 and AC as x 2 , y 2 , this can be rewritten as:.

If the points are labeled sequentially in the counterclockwise direction, the above determinant expressions are positive and the absolute value signs can be omitted.

The area within any closed curve, such as a triangle, is given by the line integral around the curve of the algebraic or signed distance of a point on the curve from an arbitrary oriented straight line L.

Points to the right of L as oriented are taken to be at negative distance from L , while the weight for the integral is taken to be the component of arc length parallel to L rather than arc length itself.

This method is well suited to computation of the area of an arbitrary polygon. The sign of the area is an overall indicator of the direction of traversal, with negative area indicating counterclockwise traversal.

The area of a triangle then falls out as the case of a polygon with three sides. While the line integral method has in common with other coordinate-based methods the arbitrary choice of a coordinate system, unlike the others it makes no arbitrary choice of vertex of the triangle as origin or of side as base.

Furthermore, the choice of coordinate system defined by L commits to only two degrees of freedom rather than the usual three, since the weight is a local distance e.

With this formulation negative area indicates clockwise traversal, which should be kept in mind when mixing polar and cartesian coordinates.

Three formulas have the same structure as Heron's formula but are expressed in terms of different variables. See Pick's theorem for a technique for finding the area of any arbitrary lattice polygon one drawn on a grid with vertically and horizontally adjacent lattice points at equal distances, and with vertices on lattice points.

The area can also be expressed as [22]. In , Baker [23] gave a collection of over a hundred distinct area formulas for the triangle.

These include:. Other upper bounds on the area T are given by [26] : p. There are infinitely many lines that bisect the area of a triangle.

Three other area bisectors are parallel to the triangle's sides. Any line through a triangle that splits both the triangle's area and its perimeter in half goes through the triangle's incenter.

There can be one, two, or three of these for any given triangle. The medians and the sides are related by [28] : p.

For angle A opposite side a , the length of the internal angle bisector is given by [29]. The product of two sides of a triangle equals the altitude to the third side times the diameter D of the circumcircle: [28] : p.

Suppose two adjacent but non-overlapping triangles share the same side of length f and share the same circumcircle, so that the side of length f is a chord of the circumcircle and the triangles have side lengths a , b , f and c , d , f , with the two triangles together forming a cyclic quadrilateral with side lengths in sequence a , b , c , d.

Then [31] : Then the distances between the points are related by [31] : The sum of the squares of the triangle's sides equals three times the sum of the squared distances of the centroid from the vertices:.

Let q a , q b , and q c be the distances from the centroid to the sides of lengths a , b , and c. Carnot's theorem states that the sum of the distances from the circumcenter to the three sides equals the sum of the circumradius and the inradius.

This method is especially useful for deducing the properties of more abstract forms of triangles, such as the ones induced by Lie algebras , that otherwise have the same properties as usual triangles.

Euler's theorem states that the distance d between the circumcenter and the incenter is given by [28] : p.

The distance from a side to the circumcenter equals half the distance from the opposite vertex to the orthocenter. The sum of the squares of the distances from the vertices to the orthocenter H plus the sum of the squares of the sides equals twelve times the square of the circumradius: [28] : p.

In addition to the law of sines , the law of cosines , the law of tangents , and the trigonometric existence conditions given earlier, for any triangle.

Morley's trisector theorem states that in any triangle, the three points of intersection of the adjacent angle trisectors form an equilateral triangle, called the Morley triangle.

As discussed above, every triangle has a unique inscribed circle incircle that is interior to the triangle and tangent to all three sides.

Every triangle has a unique Steiner inellipse which is interior to the triangle and tangent at the midpoints of the sides. Marden's theorem shows how to find the foci of this ellipse.

The Mandart inellipse of a triangle is the ellipse inscribed within the triangle tangent to its sides at the contact points of its excircles.

Then [34]. Every convex polygon with area T can be inscribed in a triangle of area at most equal to 2 T. Equality holds exclusively for a parallelogram.

The Lemoine hexagon is a cyclic hexagon with vertices given by the six intersections of the sides of a triangle with the three lines that are parallel to the sides and that pass through its symmedian point.

In either its simple form or its self-intersecting form , the Lemoine hexagon is interior to the triangle with two vertices on each side of the triangle.

Every acute triangle has three inscribed squares squares in its interior such that all four of a square's vertices lie on a side of the triangle, so two of them lie on the same side and hence one side of the square coincides with part of a side of the triangle.

In a right triangle two of the squares coincide and have a vertex at the triangle's right angle, so a right triangle has only two distinct inscribed squares.

An obtuse triangle has only one inscribed square, with a side coinciding with part of the triangle's longest side. Within a given triangle, a longer common side is associated with a smaller inscribed square.

If an inscribed square has side of length q a and the triangle has a side of length a , part of which side coincides with a side of the square, then q a , a , the altitude h a from the side a , and the triangle's area T are related according to [36] [37].

From an interior point in a reference triangle, the nearest points on the three sides serve as the vertices of the pedal triangle of that point.

If the interior point is the circumcenter of the reference triangle, the vertices of the pedal triangle are the midpoints of the reference triangle's sides, and so the pedal triangle is called the midpoint triangle or medial triangle.

The midpoint triangle subdivides the reference triangle into four congruent triangles which are similar to the reference triangle.

The Gergonne triangle or intouch triangle of a reference triangle has its vertices at the three points of tangency of the reference triangle's sides with its incircle.

The extouch triangle of a reference triangle has its vertices at the points of tangency of the reference triangle's excircles with its sides not extended.

The tangential triangle of a reference triangle other than a right triangle is the triangle whose sides are on the tangent lines to the reference triangle's circumcircle at its vertices.

As mentioned above, every triangle has a unique circumcircle, a circle passing through all three vertices, whose center is the intersection of the perpendicular bisectors of the triangle's sides.

Further, every triangle has a unique Steiner circumellipse , which passes through the triangle's vertices and has its center at the triangle's centroid.

Of all ellipses going through the triangle's vertices, it has the smallest area. The Kiepert hyperbola is the unique conic which passes through the triangle's three vertices, its centroid, and its circumcenter.

Of all triangles contained in a given convex polygon, there exists a triangle with maximal area whose vertices are all vertices of the given polygon.

One way to identify locations of points in or outside a triangle is to place the triangle in an arbitrary location and orientation in the Cartesian plane , and to use Cartesian coordinates.

While convenient for many purposes, this approach has the disadvantage of all points' coordinate values being dependent on the arbitrary placement in the plane.

Two systems avoid that feature, so that the coordinates of a point are not affected by moving the triangle, rotating it, or reflecting it as in a mirror, any of which give a congruent triangle, or even by rescaling it to give a similar triangle:.

A non-planar triangle is a triangle which is not contained in a flat plane. Some examples of non-planar triangles in non-Euclidean geometries are spherical triangles in spherical geometry and hyperbolic triangles in hyperbolic geometry.

A hyperbolic triangle can be obtained by drawing on a negatively curved surface, such as a saddle surface , and a spherical triangle can be obtained by drawing on a positively curved surface such as a sphere.

The great circle line between the latter two points is the equator, and the great circle line between either of those points and the North Pole is a line of longitude; so there are right angles at the two points on the equator.

From the above angle sum formula we can also see that the Earth's surface is locally flat: If we draw an arbitrarily small triangle in the neighborhood of one point on the Earth's surface, the fraction f of the Earth's surface which is enclosed by the triangle will be arbitrarily close to zero.

Rectangles have been the most popular and common geometric form for buildings since the shape is easy to stack and organize; as a standard, it is easy to design furniture and fixtures to fit inside rectangularly shaped buildings.

But triangles, while more difficult to use conceptually, provide a great deal of strength. As computer technology helps architects design creative new buildings, triangular shapes are becoming increasingly prevalent as parts of buildings and as the primary shape for some types of skyscrapers as well as building materials.

In Tokyo in , architects had wondered whether it was possible to build a story tower to provide affordable office space for this densely packed city, but with the danger to buildings from earthquakes , architects considered that a triangular shape would be necessary if such a building were to be built.

In New York City , as Broadway crisscrosses major avenues, the resulting blocks are cut like triangles, and buildings have been built on these shapes; one such building is the triangularly shaped Flatiron Building which real estate people admit has a "warren of awkward spaces that do not easily accommodate modern office furniture" but that has not prevented the structure from becoming a landmark icon.

Triangles are sturdy; while a rectangle can collapse into a parallelogram from pressure to one of its points, triangles have a natural strength which supports structures against lateral pressures.

A triangle will not change shape unless its sides are bent or extended or broken or if its joints break; in essence, each of the three sides supports the other two.

A rectangle, in contrast, is more dependent on the strength of its joints in a structural sense. Some innovative designers have proposed making bricks not out of rectangles, but with triangular shapes which can be combined in three dimensions.

It is important to remember that triangles are strong in terms of rigidity, but while packed in a tessellating arrangement triangles are not as strong as hexagons under compression hence the prevalence of hexagonal forms in nature.

Tessellated triangles still maintain superior strength for cantilevering however, and this is the basis for one of the strongest man made structures, the tetrahedral truss.

From Wikipedia, the free encyclopedia. Rimanendo disgustata da come l'altra se stessa tratta il figlio, la uccide, pensando poi di poterla sostituire e vivere insieme al figlio.

Chiude il cadavere nel bagagliaio dell'auto e fugge via insieme al bambino. Durante il tragitto un gabbiano colpisce il parabrezza e muore.

La donna lo raccoglie e lo getta via sulla spiaggia dove scorge diversi corpi di gabbiani morti. Risale in auto ma hanno un grave incidente in cui il figlio muore e l'altra Jess viene sbalzata fuori dal bagagliaio.

In Gran Bretagna , dopo il debutto in sale, il film ha incassato Ad ottobre , il film aveva prodotto un incasso totale in patria di Alcune delle uscite internazionali sono state: [4].

Da Wikipedia, l'enciclopedia libera. URL consultato il 25 agosto URL consultato il 16 gennaio Portale Cinema. Portale Fantascienza.

Categorie : Film britannici del Film australiani del Film horror fantascientifici Film sui viaggi nel tempo Film sugli anelli temporali.

Menu di navigazione Strumenti personali Accesso non effettuato discussioni contributi registrati entra. Namespace Voce Discussione. Visite Leggi Modifica Modifica wikitesto Cronologia.

Una scena del film.