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" If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent. "
Elements of the Geometry of Planes and Solids: With Four Plates - Page 20
by Ferdinand Rudolph Hassler - 1828 - 159 pages
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Documents of the Senate of the State of New York, Volume 11

New York (State). Legislature. Senate - Government publications - 1897 - 1306 pages
...problem, inscribed angle, pentagon, axiom. 2-3 Prove that two triangles are equal in all respects if they have the three sides of the one respectively equal to the three sides of the other. 4-5 State and prove a theorem, the conclusion of which is, the triangles are similar. 6-7 Prove that...
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New Plane Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry, Modern - 1899 - 265 pages
...pair of opposite sides is less than the sum of its two diagonals. PROPOSITION XII. 79. Theorem. If two triangles have the three sides of the one respectively equal to the three sides of the other, the triangles are congruent. C A Given A ABC, AB'C, with AB = AB', BC = B'C, and To prove that A AB...
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New Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry - 1899 - 412 pages
...compare in length with its adjacent side of the triangle ? Prove it. PROPOSITION XII. 79. Theorem. If two triangles have the three sides of the one respectively equal to the three sides of the dther, the triangles are congruent. C Given A ABC, AB'C, with AB=AB', BC = B'C, and AC = AC. To prove...
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Elementary Geometry: Practical and Theoretical

Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...FH in K, prove that FK = GK = GH. G. 3. THEOREM 14. If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent. Data ABC, DEF are two triangles which have BC = EF, CA= FD, and AB = DE. To...
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School: A Monthly Record of Educational Thought and Progress, Volume 4

Ed - 1905 - 272 pages
...polygon is 140°, calculate the number of sides. (2) If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent. ABCD is a quadrilateral in which AB = CD and AD = BC, show that AB is parallel...
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Syllabus of Plane' Geometry: (corresponding to Euclid, Book I-VI) : Prepared ...

Cora Lenore Williams - Geometry - 1905 - 50 pages
...equal, the triangle is isosceles. Prop. 6. An equiangular triangle is also equilateral. Prop. 7. If two triangles have the three sides of the one respectively 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...
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Calendar

University of Allahabad - 1907 - 528 pages
...opposite to these sides are equal ; and the converse. If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent. If two sides of a triangle are unequal, the greater side has the greater angle...
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Calendar

University of Allahabad - 1908 - 568 pages
...opposite to these sides are equal ; and the converse. If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent. If two right-angled triangles have their hypotenuses equal, and one side of...
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Atti Del ... Congresso Internazionale Dei Matematici ...

Mathematics - 1909 - 605 pages
...opposite to these sides are equal; and the converse. If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent. If two right-angled triangles have their hypotenuses equal, and one side of...
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The Teaching of Mathematics in the United Kingdom

Great Britain. Board of Education - Mathematics - 1912 - 632 pages
...opposite to these sides are equal ; and the converse. 10. If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent. 11. If two right-angled triangles have their hypotenuses equal, and one side...
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