 A', ZB = Z B', ZC = Z C". The first two statements cannot be true, for the sum of the angles of the two triangles would exceed four right angles. Therefore, two angles of one triangle are equal to two angles of the other.  Mathematics - Page 193by United States. Bureau of Naval Personnel - 1951Full view - About this book
 | Edward Olney - 1872 - 270 pages
...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.... | |
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...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... | |
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...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... | |
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...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... | |
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...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... | |
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...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... | |
 | Thomas Aloysius O'Donahue - Mine surveying - 1896 - 186 pages
...angles B Flo. 38. Flo. 39. of a triangle are equal, the sides opposite to them will also be equal. VII. If two angles of one triangle are equal to two angles of another triangle, each to each, and the sides adjacent or opposite to the two angles of the other be... | |
 | William James Milne - Geometry - 1899 - 398 pages
...II. A triangle cannot have more than one right angle, nor more than one obtuse angle. 113. Cor. III. If two angles of one triangle are equal to two angles of another, the third angles are equal. 114. Cor. IV. Two right triangles are equal, if a side and an... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...be true, for the sum of the angles of the two triangles would exceed four right angles. Therefore, two angles of one triangle are equal to two angles of the other. „-. AABC-AA'B'C'. aE . D . Ex. 602. Two triangles are similar if the sides of one are respectively... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...be true, for the sum of the angles of the two triangles would exceed four right angles. Therefore, two angles of one triangle are equal to two angles of the other. .'. AABC-AA'B'OQED Ex. 602. Two triangles are similar if the sides of one are respectively perpendicular... | |
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