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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. "
An essay on mechanical geometry, explanatory of a set of models - Page 24
by Benjamin Donne - 1796
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Mathematics: Mechanic's bids and estimates. Mensuration for beginners. Easy ...

Seymour Eaton - 1899 - 362 pages
...conditions which will enable us to prove two triangles identically equal. If two triangles have the three sides of one equal to the three sides of the other, the triangles are identically equal. The proof is effected by means of the proposition last proved...
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The Werner Arithmetic: Oral and Written. Book III--parts I and II

Frank H. Hall - Arithmetic - 1903 - 398 pages
...conversely if two angles of a triangle are equal, two of the sides are equal. 3. If two triangles have the three sides of one equal to the three sides of the other, each to each, do you think the two triangles are alike in every respect ? 4. If two triangles have the three angles...
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Elementary Geometry: Practical and Theoretical

Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...meets 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....
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School: A Monthly Record of Educational Thought and Progress, Volume 4

Ed - 1905 - 272 pages
...regular 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...
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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...
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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...
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A School Geometry, Parts 1-4

Henry Sinclair Hall - 1908 - 286 pages
...angles are equal to one another. 22 THEOREM 7. [Euc. I. 8.] If two triangles have the three sides of the one equal to the three sides of the other, each to each, they are equal in all respects. 24 THEOREM 8. [Euc. I. 16.] If one side of a triangle is produced,...
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Atti Del ... Congresso Internazionale Dei Matematici ...

Mathematics - 1909 - 605 pages
...angles 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...
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First-year Mathematics for Secondary Schools

George William Myers - Mathematics - 1909 - 394 pages
...BC and ДВ EF are congruent. 291. Problems n and 12 establish the truth of the following theorem : If two triangles have three sides of one equal to the three corresponding sides of the other, the triangles are congruent. 292. We have thus far proved three theorems...
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Journal of Education

Education - 1911 - 1334 pages
...of a triangle is parallel to the third side. New Text. 1. If two triangles have three sides of the one equal to the three sides of the other, each to each, they are equal in all respects. 2. If two triangles have two sides of the one equal to two sides of...
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