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" If two triangles have two angles of the one equal respectively to two angles of the other, the third angles are equal. "
The Geometrical Companion, in which the Elements of Abstract Geometry are ... - Side 66
av George Darley - 1828 - 169 sider
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Elementary Geometry, Plane and Solid: For Use in High Schools and Academies

Thomas Franklin Holgate - 1901 - 462 sider
...is said to be the complement of another when the sum of the two is a right angle. 104. COROLLARY IV. If two triangles have two angles of the one equal respectively to tico angles of the other, their third angles are also eijual; or, if the mini of two angles in the...
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Syllabus of Plane' Geometry: (corresponding to Euclid, Book I-VI) : Prepared ...

Cora Lenore Williams - 1905 - 50 sider
...the included angles are unequal, the greater angle being opposite the greater third side. Prop. 43. If two triangles have two angles of the one equal respectively to two angles of the other, and the sides opposite one pair of equal angles equal, the triangles are congruent. Theor. H. If a transversal...
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Annual Report of the Commissioners ..., Volum 72

1906 - 818 sider
...not be accepted. Mr. J. Ross, Senior Inspector. Mr. J. CHAMBERS, District Inspector. SECTION A. 1. If two triangles have two angles of the one equal respectively to two angles of the other, and one side equal to one side, namely, either the sides adjacent to equal angles in each triangle, or...
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The Dublin University Calendar, Volum 1

Trinity College (Dublin, Ireland) - 1908 - 574 sider
...three-fifths of the area of an equilateral triangle constructed on a line 4^ cms. long. Theoretical. 4. If two triangles have two angles of the one equal, respectively, to two angles of the other, and a similarly placed side m each equal, prove that the triangles are congruent. 5. Prove geometrically...
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Plane and Solid Geometry: Suggestive Method

George Clinton Shutts - 1912 - 392 sider
...straight line. Sug. Prove that the bisectors form a straight angle. PBOPOSITION XXI. 109. THEOREM. // two triangles have two angles of the one equal respectively to two angles of the other, the third angles are equal. Given A ABC and A A'B'C' with LA = L A' and To Prove ZC=ZC". SUG. Use §...
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Plane Geometry

John Wesley Young, Albert John Schwartz - 1915 - 250 sider
...Give the answer to the nearest hundredth of an inch. 407. THEOREM. Two triangles are similar if they have two angles of the one equal, respectively, to two angles of the other. B FIG. 185. Given the A ABC and A'B'C' with ZA = Z .4', and Z £ = Z B'. To prove that A ABC ~ A A'B'C'....
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Plane Geometry

Edith Long, William Charles Brenke - 1916 - 292 sider
...adjacent to It. Corollary 2. A triangle can have but one right angle or one obtuse angle. Corollary 3. If two triangles have two angles of the one equal respectively to two angles of the other, the third angles are equal. Corollary 4- If two triangles have two angles and a side of one equal respectively...
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Plane Geometry

Edith Long, William Charles Brenke - 1916 - 292 sider
...adjacent to It. Corollary 2. A triangle can have but one right angle or one obtuse angle. Corollary 3. If two triangles have two angles of the one equal respectively to two angles of the other, the third angles are equal. Corollary 4. If two triangles have two angles and a side of one equal respectively...
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Drill Book in Plane Geometry

Robert Remington Goff - 1922 - 136 sider
...part, except the right angle, of the other, the triangles are congruent. Triangles similar: 267. a. Two angles of the one equal respectively to two angles of the other. b. Two pairs of sides in proportion and the included angles equal. c. Three pairs of sides in proportion....
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - 1925 - 504 sider
...one right angle. 112. COR. 2. The acute angles of a right triangle are complementary. 113. COR. 3. // two triangles have two angles of the one equal respectively to two angles of the other, the third angles are equal. 114. COR. 4. Two triangles are congruent if two angles and the side opposite...
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