the incentres of the four triangles determined by the vertices of a cyclic quadrilateral taken three at a time form a rectangle. The British flag theorem...
20 KB (2,193 words) - 20:43, 14 November 2024
{\displaystyle B.} Every right triangle is half of a rectangle which has been divided along its diagonal. When the rectangle is a square, its right-triangular...
18 KB (2,954 words) - 07:06, 1 March 2025
so this triangle forms half of a golden rectangle. The convex hull of two opposite edges of a regular icosahedron forms a golden rectangle. The twelve...
14 KB (1,768 words) - 07:48, 25 March 2025
A love triangle is a scenario or circumstance, usually depicted as a rivalry, in which two people are pursuing or involved in a romantic relationship with...
16 KB (1,910 words) - 23:16, 24 April 2025
degenerate triangle, one with collinear vertices. Unlike a rectangle, which may collapse into a parallelogram from pressure to one of its points, triangles are...
55 KB (6,518 words) - 01:13, 30 April 2025
Silver ratio (redirect from Silver rectangle)
adjoining right triangles, tracing a whirl of converging silver rectangles. The logarithmic spiral through the vertices of adjacent triangles has polar slope...
32 KB (4,626 words) - 21:23, 10 March 2025
Geometric mean theorem (redirect from Right triangle altitude theorem)
the right angled triangle is the diameter of its circumcircle. The formulation in terms of areas yields a method to square a rectangle with ruler and compass...
9 KB (1,183 words) - 22:17, 19 April 2025
these three lengths form the sides of a right triangle. The same triangle forms half of a golden rectangle. It may also be found within a regular icosahedron...
20 KB (1,689 words) - 06:18, 24 March 2025
Law of cosines (category Theorems about triangles)
abaissez de B sur AC la perpendiculaire BE. Vous aurez ainsi le triangle rectangle [BEA] dont nous connaissons le côté AB et l'angle A; on en tirera...
38 KB (5,891 words) - 06:48, 20 April 2025
Circumcircle (redirect from Triangle Circumscribing)
quadrilateral. All rectangles, isosceles trapezoids, right kites, and regular polygons are cyclic, but not every polygon is. The circumcenter of a triangle can be...
27 KB (4,773 words) - 22:10, 29 April 2025
Degeneracy (mathematics) (redirect from Degenerate rectangle)
sides have length zero, the rectangle degenerates to a point. A hyperrectangle is the n-dimensional analog of a rectangle. If its sides along any of the...
9 KB (1,100 words) - 22:45, 4 April 2025
Golden ratio (redirect from The Golden Mean/Rectangle)
golden rectangle—that is, a rectangle with an aspect ratio of φ {\displaystyle \varphi } —may be cut into a square and a smaller rectangle with the...
114 KB (13,221 words) - 17:08, 30 April 2025
Area (section Rectangles)
such as triangles, rectangles, and circles. Using these formulas, the area of any polygon can be found by dividing the polygon into triangles. For shapes...
43 KB (5,365 words) - 07:16, 30 April 2025
Pythagorean theorem (section Arbitrary triangle)
total area of the four triangles. Within the big square on the left side, the four triangles are moved to form two similar rectangles with sides of length...
94 KB (12,716 words) - 22:17, 19 April 2025
four corners of the rectangle actually were. A later concept is that of kitchen zones. In this layout, the proportions of the triangle are no more an ergonomic...
8 KB (1,069 words) - 00:54, 30 August 2024
geometry, or as fractals. Some common shapes include: Circle, Square, Triangle, Rectangle, Oval, Star (polygon), Rhombus, Semicircle. Regular polygons starting...
18 KB (2,502 words) - 15:54, 23 January 2025
of the triangle. Some experts have debated about the shape and range of the triangle. One argued that the area is not a triangle, but a rectangle, or oblong...
23 KB (2,669 words) - 11:10, 13 February 2025
its simplest form, an arrow is a triangle, chevron, or concave kite, usually affixed to a line segment or rectangle, and in more complex forms a representation...
38 KB (883 words) - 10:37, 2 May 2025
Square (redirect from Regular rectangle)
are special cases of rectangles, which have four equal angles, and of rhombuses, which have four equal sides. As with all rectangles, a square's angles...
80 KB (8,715 words) - 12:56, 22 April 2025
Rectangle, Diamond, Oval, Triangle, Inverted Triangle}", 2002 Connell's "Body Shape Assessment Scale: {Hourglass, Pear, Rectangle, Inverted Triangle}"...
67 KB (7,456 words) - 15:44, 13 February 2025
Similarity (geometry) (redirect from Similar triangle)
and all equilateral triangles are similar to each other. On the other hand, ellipses are not all similar to each other, rectangles are not all similar...
28 KB (3,581 words) - 20:42, 2 April 2025
geometry, a partition of a polygon is a set of primitive units (e.g., triangles, rectangles, etc.), which do not overlap and whose union equals the polygon...
20 KB (2,579 words) - 13:23, 17 April 2025
Centroid (redirect from Triangle centroid)
centroid of many figures (regular polygon, regular polyhedron, cylinder, rectangle, rhombus, circle, sphere, ellipse, ellipsoid, superellipse, superellipsoid...
26 KB (4,242 words) - 05:08, 1 March 2025
Parallelogram (section Automedian triangle)
blue area) is the total area of the rectangle less the area of the two orange triangles. The area of the rectangle is K rect = ( B + A ) × H {\displaystyle...
15 KB (2,005 words) - 00:50, 30 April 2025
Area of a circle (section Triangle proof)
rectangle circumscribing the ellipse. The ratio of the area of the circle to the square is π/4, which means the ratio of the ellipse to the rectangle...
37 KB (5,897 words) - 09:47, 21 February 2025
area of an enclosed shape will vary depending on if the shape is a triangle, rectangle, ellipse, or circle. In traditional computer programming, this would...
15 KB (1,795 words) - 15:27, 14 March 2025
Thales's theorem (category Theorems about right triangles)
proof consists of 'completing' the right triangle to form a rectangle and noticing that the center of that rectangle is equidistant from the vertices and...
17 KB (2,130 words) - 22:17, 19 April 2025
abaissez de B sur AC la perpendiculaire BE. Vous aurez ainsi le triangle rectangle [BEA] dont nous connaissons le côté AB et l'angle A; on en tirera...
53 KB (6,823 words) - 12:21, 17 April 2025
taxicab number. He is also remembered for his treatise Traité des triangles rectangles en nombres published (posthumously) in 1676 and reprinted in 1729...
7 KB (760 words) - 20:27, 27 December 2024
from two golden triangles, and a dart is made from two gnomons. Golden rectangle Golden rhombus Kimberling's golden triangle Kepler triangle Lute of Pythagoras...
9 KB (1,098 words) - 13:04, 23 February 2025