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" If two angles of one triangle are equal to two angles of another triangle, the third angles are equal, and the triangles are mutually equiangular. "
Elements of Geometry and Trigonometry: With Notes - Page 211
by Adrien Marie Legendre - 1822 - 367 pages
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Elements of Geometry: With Practical Applications, for the Use of Schools

Timothy Walker - Geometry - 1829 - 138 pages
...say that — each of the acute angles in a right triangle is a complement of the other — . 48. — If two angles of one triangle are equal to two angles of another, the remaining angles are equal — . For each is what remains after taking equal sums from two right angles...
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Elements of Geometry: With Practical Applications, for the Use of Schools

Timothy Walker - Geometry - 1829 - 156 pages
...the measure of the angle required. This is very readily done by means of a protractor (18). COR. — If two angles of one triangle are equal to two angles of another triangle, the remaining angles are equal. 49. THKOREM. — The exterior angle is equal to the sum of...
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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - Geometry - 1829 - 210 pages
...equal to the other two angles of the latter. ED. Cor. 2. If two angles of one triangle be together equal to two angles of another, the third angle of the former triangle is equal to the third angle of the latter (3 Ax.). ED. Cor. 3. If one angle in any triangle...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1841 - 288 pages
...third will be known by subtracting the sum of these angles from two right angles. 59. Corollary n. If two angles of one triangle are equal to two angles of another triangle, each to each, the third of the one will be equal to the third of the other, and the two triangles...
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An Introduction to Geometry and the Science of Form: Prepared from the Most ...

Anna Cabot Lowell - Geometry - 1846 - 206 pages
...angles. If one angle =; 64°, and another = 70°, then the 3d angle = 180° — 64 — 70° = 46°. Thus if two angles of one triangle are equal to two angles of another, then the third angle of the one must be equal to the third angle of the other. 134. The exterior angle...
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First Lessons in Geometry: Upon the Model of Colburn's First Lessons in ...

Alpheus Crosby - Geometry - 1847 - 190 pages
...find the third? b.) How is each angle of a triangle related to the sum of the other two ? 30. g. c.) If two angles of one triangle are equal to two angles of another, how does the third angle of the one compare with the third angle of the other ? d.) How many right...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1849 - 252 pages
...BCA, CAB are together equal to two right angles. Therefore, if one side of a triangle, &c. Cor. 2. If two angles of one triangle are equal to two angles of another triangle, the third angles are equal, and the triangles are mutually equiangular. Cor. 1. If the sum...
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The popular educator, Volume 4; Volume 7

Popular educator - 1852 - 1272 pages
...simply с - v: (A, n).f This formula already proves, that if two angles of ouo triangle are equal 1 1 two angles of another, the third angle of the former...granted, it is easy to arrive at the theorem we have iu view. Fir .t. let A ac be a triangle right-untried at A ; from the point л draw AD perpendicular...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1858 - 256 pages
...a triangle is given, the third may be found by subtracting this sum from two right angles. Cor. 2. If two angles of one triangle are equal to two angles of another triangle, the third angles are equal, and the triangles are mutually equiangular. Cor. 3. A triangle...
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Primary Elements of Plane and Solid Geometry: For Schools and Academies

Evan Wilhelm Evans - Geometry - 1862 - 116 pages
...GEOMETRY. Cor. If two triangles are mutually equilateral they are equal throughout. EXERCISES. 1. Prove that if two angles of one triangle are equal to two angles of another, the third angles are equal. 2. Prove that each angle of an equilateral triangle is equal to two-thirds of a right...
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