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" If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second.... "
The Geometrical Companion, in which the Elements of Abstract Geometry are ... - Page 13
by George Darley - 1828 - 169 pages
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Syllabus of Plane' Geometry: (corresponding to Euclid, Book I-VI) : Prepared ...

Cora Lenore Williams - Geometry - 1905 - 56 pages
...equal to the three sides of the other, the triangles are congruent. Prop. 8. If two triangles have two sides of the one equal respectively to two sides of the other and the angles opposite one pair of equal sides equal, then the angles opposite the other pair of equal...
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Original Exercises in Plane and Solid Geometry

Levi Leonard Conant - Geometry - 1905 - 140 pages
...of the two triangles is bisected by the line on which the bases stand. 89. If two triangles have two sides of the one equal respectively to two sides of the other, and the included angles supplementary, the triangles are equal in area. 90. If equilateral triangles are...
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Syllabus of Plane Geometry: (corresponding to Euclid, Book I-VI) ; Prepared ...

Cora Lenore Williams - Geometry - 1905 - 122 pages
...are unequal, the greater side being opposite the greater angle. Prop. 42. If two triangles have two sides of the one equal respectively to two sides of the other, but the third sides unequal, then the included angles are unequal, the greater angle being opposite...
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The Psychology of Thinking

Irving Elgar Miller - Thought and thinking - 1909 - 352 pages
...sides of the other. Now, maybe I can get along without those troublesome angles. Let me see. I had two sides of the one equal respectively to two sides of the other. I must show that DB is equal to DC. Stuck again. They do look equal, but there is nothing in my hypothesis...
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Elements of Plane Geometry

William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 284 pages
...Hence 2£ BAC is bisected by the line AX. QEF PROPOSITION XXIV. THEOREM. 131. If two triangles have two sides of the one equal, respectively, to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side...
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Wentworth's Plane Geometry

George Albert Wentworth, David Eugene Smith - Geometry, Plane - 1910 - 287 pages
...3 .'. AP+PB>AY. Ax. 9 .'. AB>AY. , Ax. 11 PROPOSITION XXIV. THEOREM 116. If two triangles have two sides of the one equal respectively to two sides of the other, but the third side of the first triangle greater than the third side of the second, then the angle...
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The Teaching of Geometry

David Eugene Smith - Geometry - 1911 - 370 pages
...be taught to pupils, and it has several applications in geometry. THEOREM. If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first triangle greater than the included angle of YY the second, then...
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College Entrance Examination Papers in Plane Geometry

Geometry, Plane - 1911 - 192 pages
...arc. 6. Show how to construct a triangle equivalent to a given polygon. 7. If two triangles have two sides of the one equal, respectively, to two sides of the other, but the third side of the first greater than the third side of the second, the included angle of the...
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Plane and Solid Geometry: Suggestive Method

George Clinton Shutts - Geometry - 1912 - 392 pages
...Compare BO + OC' with BO + OC or its equal BC. PROPOSITION XXX. 124. THEOBEM. // two triangles have two sides of the one equal respectively to two sides of the other and the third sides unequal, the included angles are unequal and that angle is the greater which is opposite...
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Bergson

Joseph Solomon - 1912 - 140 pages
...WilliarruTames," Contemporary Review, June, 1911. 233. the complete equality of two triangles that have two sides of the one equal respectively to two sides of the other and their included angles equal. But futurity, you say, is no illusion. I grant it. We feel time to be...
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