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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 Geometry and Trigonometry: With Applications in Mensuration - Side 124
av Charles Davies - 1855 - 324 sider
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Elements of Geometry

George Cunningham Edwards - 1895 - 324 sider
...substituted for another and may be made to occupy exactly Fio. 24. TRIANGLES. THEOREM. If two triangles have the three sides of the one equal to the three sides of the other, each to each, they are congruent. If the two triangles ( p) and (Vy) having : AB = DE, BC=DF, and AC = EF, be so...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1895 - 450 sider
...Therefore, if two triangles, etc. PROPOSITION XV. THEOREM. If two triangles have the three sides oftJie one equal to the three sides of the other, each to each, the three angles will also bc equal, each to each, and the triangles themselves will be equal. Let...
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The Sewanee Review, Volumer 3-4

1896 - 564 sider
...proof. Mr. Venable's proof of the same proposition is about as follows : The two triangles BAG, ACE, have the three sides of the one equal to the three sides of the other, each to each,, therefore they are equal ; hence, the angle BCA, opposite the side AB, is equal to the angle CAE, opposite...
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The Werner Arithmetic: Oral and Written, Bok 3

Frank H. Hall - 1898 - 326 sider
...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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The Werner Arithmetic: Oral and Written. Book III--parts I and II, Volum 3

Frank H. Hall - 1898 - 298 sider
...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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The Werner Arithmetic: Oral and Written, Bok 3

Frank H. Hall - 1898 - 296 sider
...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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The Werner Arithmetic: Oral and Written. Book III--parts I and II, Volum 3

Frank H. Hall - 1898 - 332 sider
...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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A Complete Arithmetic ...

Frank H. Hall - 1899 - 456 sider
...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 - 1903 - 384 sider
...and if the bisector of /.G 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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Manual

1903 - 898 sider
...take which you please ; but only one. So also of questions 4 and 4A.] 1. Show ihat, if two triangles have the three sides of the one equal to the three sides of the other respectively, they will be equal in all respects. 2. The base BC of a triangle A EC is produced both...
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