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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 243
by Adrien Marie Legendre - 1830 - 316 pages
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Mensuration for Beginners: With Numerous Examples

Isaac Todhunter - Measurement - 1869 - 312 pages
...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...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Geometry - 1871 - 302 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 h-iangles are mutually equiangular. Cor. 3. A triangle...
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A Treatise on Special Or Elementary Geometry

Edward Olney - Geometry - 1872 - 472 pages
...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....
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A Treatise on Special Or Elementary Geometry

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. 54. SOLUTION.—There...
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Euclidian Geometry

Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...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...
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The Eclectic School Geometry

Evan Wilhelm Evans - Geometry - 1884 - 242 pages
...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...
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A Primary Geometry: With Simple and Practical Examples in Plane and ...

Samuel Edward Warren - Geometrical drawing - 1887 - 200 pages
...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...
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Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - Geometry - 1890 - 442 pages
...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....
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Mining: A Journal Devoted to the Interests of Mines and Mining ..., Volume 2

Mines and mineral resources - 1894 - 330 pages
...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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Colliery Surveying: A Primer Designed for the Use of Students and Colliery ...

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 also equal,...
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