 | Evan Wilhelm Evans - 1862 - 116 Seiten
...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... | |
 | Isaac Todhunter - 1869 - 312 Seiten
...the angle contained by the two sides of the other, the triangles will be equal in all respects. 27. If two angles of one triangle are equal to two angles of another, each to each, and the side adjacent to the two angles of the one equal to the side adjacent to the... | |
 | Elias Loomis - 1871 - 302 Seiten
...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 h-iangles are mutually equiangular. Cor. 3. A triangle... | |
 | Edward Olney - 1872 - 472 Seiten
...these arcs will always make up just a semi-circumference. ДА hat does this show ? FlG. M. Ex. 5. If two angles of one triangle are equal to two angles of another, can the third angles be unequal ? Why ? '.T. Prob. — To make two triangles just alike. F1e. 55. SOLUTION.... | |
 | Edward Olney - 1872 - 270 Seiten
...of these arcs will always make up just a semi-circumference. What does this show ? FI G- ra - Ex. 5. If two angles of one triangle are equal to two angles of another, can the third angles be unequal ? Why ? 75. Prob.—To make two triangles just alike. PIG. 54. SOLUTION.—There... | |
 | Francis Cuthbertson - 1874 - 400 Seiten
...the i s OP A, OQB are each = L ORC, and .-. = one another. .-. A is || to B. PROPOSITION XXV. COR. If two angles of one triangle are equal to two angles of another, and any side of one is equal to the corresponding side of the other, then shall the triangles be equal... | |
 | Evan Wilhelm Evans - 1884 - 242 Seiten
...equal throughout. Cor. 2. — Mutually equiangular triangles may not be equal. EXERCISES. 1. Prove that if two angles of one triangle are equal to two angles of another triangle, the third angles are also equal. 2. Prove that each angle of an equilateral triangle is equal... | |
 | Samuel Edward Warren - 1887 - 200 Seiten
...minus the sum of the known angles ; that is, if A + B + C = 180°, € = 180° — (A + B). Hence, if two angles of one triangle are equal to two angles of another triangle, the remaining angle in each must be the same. 142. What we have now learned enables us to... | |
 | Euclid - 1890 - 442 Seiten
...right-angled triangle is isosceles, each of its acute angles is half a right angle ; and conversely. (8) If two angles of one triangle are equal to two angles of another, the remaining pair of angles are equal. (f) In a right-angled triangle the acute angles are complementary.... | |
 | 1894 - 330 Seiten
...the angle contained by the two sides of the other, the triangles will be equal in every respect. V. If two angles of one triangle are equal to two angles of another triangle, each to each, and either the side adjacent or opposite to the two angles of the one equal... | |
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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. 
