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" If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. "
Euclid's Elements of Geometry - Page 68
edited by - 1893 - 504 pages
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Calendar

University of Allahabad - 1908 - 568 pages
...other, each to each, and also the angles contained by these sides equal, the triangles are congruent. If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles...
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Books 3-9

Euclid - Mathematics, Greek - 1908 - 456 pages
...included by the proportional sides must be either equal or unequal. If they are equal, then, since the triangles have two angles of the one equal to two angles of the other, respectively, they are equiangular to one another. We have therefore only to consider the case in which...
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Calendar, Part 3

University of Calcutta - 1908 - 562 pages
...PHANINDBALAL GANGULI, MA (^ ,, SUBENDBANATH CHATTEBJEE, MA The figures in the margin indicate full marks. 1. If two triangles have two angles of the one equal to two angles 8 of the other, each to each, and a side of one equal to a side of the other, these sides being opposite...
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Atti Del ... Congresso Internazionale Dei Matematici ...

Mathematics - 1909 - 605 pages
...other, each to each, and also the angles contained by those sides equal, the triangles are congruent. If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles...
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Henley's Encyclopędia of Practical Engineering and Allied Trades: A ...

Joseph Gregory Horner - Engineering - 1909 - 560 pages
...the base of that which has the greater angle shall be greater than the base of the other. (Prop. 24.) If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, namely either the sides adjacent to the equal angles...
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Plane Geometry: With Problems and Applications

Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 300 pages
...given points? 4. Which theorems of Chapter 1 are found by direct proof and which by indirect proof ? 5. If two triangles have two angles of the one equal to two angles of the other, and also any pair of corresponding sides equal, the triangles are congruent. . 6. If two triangles have...
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Plane Geometry: With Problems and Applications

Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 304 pages
...given points? 4. Which theorems of Chapter I are found by direct proof and which by indirect proof ? 5. If two triangles have two angles of the one equal to two angles of the other, and also any pair of corresponding sides equal, the triangles are congruent. 6. If two triangles have two...
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Wentworth's Plane Geometry

George Albert Wentworth, David Eugene Smith - Geometry, Plane - 1910 - 287 pages
...ZA=Z.XBY, §102 and ZC = Z YBC. § 100 .'. Z /I + Z 7; + ZC = 2 rt. A, by Ax. 9. p. ED 108. COROLLARY 1. If two triangles have two angles of the one equal to two angles of the other, the third angles are equal. 109. COROLLARY 2. In a triangle there can be hut one right angle or one...
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Elements of Plane Geometry

William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 286 pages
...exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles. 159. COR. 4. If two triangles have two angles of the one equal to two angles of the other, the third angle of the one is equal to the third angle of the other. 160. COR. 5. Each acute angle...
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Calendar

University of Allahabad - 1910 - 682 pages
...other, each to each, and also the angles contained by these sides equal, the triangles are congruent. If two triangles have two angles of the one equal to two angles of tho other, each to each, and also one side of the one equal to the corresponding side of the other,...
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