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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. "
A Treatise on Geometry and Its Application in the Arts - Page 44
by Dionysius Lardner - 1840 - 314 pages
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The Werner Arithmetic: Oral and Written, Book 3

Frank H. Hall - Education - 1898 - 296 pages
...angles equal; and 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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The Werner Arithmetic: Oral and Written. Book III--parts I and II, Volume 3

Frank H. Hall - Arithmetic - 1898 - 332 pages
...angles equal; and 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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The Werner Arithmetic: Oral and Written. Book III--parts I and II, Volume 3

Frank H. Hall - Arithmetic - 1898 - 298 pages
...angles equal; and 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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A Complete Arithmetic ...

Frank H. Hall - Arithmetic - 1899 - 456 pages
...angles equal; and 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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A Complete Arithmetic ...

Frank H. Hall - Arithmetic - 1899 - 462 pages
...angles equal; and 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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Mathematics: Mechanic's bids and estimates. Mensuration for beginners. Easy ...

Seymour Eaton - 1899 - 362 pages
...TRIANGLES are not the only 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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A Text-book of Euclid's Elements for the Use of Schools. Books I.-VI ..., Book 1

Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...to the following important Corollary. COROLLARY. If in two triangles fhe three sides of the one are equal to the three sides of the other, each to each, then the triangles are equal in all respects. [An alternative proof, which is independent of Prop. 7, will be...
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The Werner Arithmetic: Oral and Written. Book III--parts I and II

Frank H. Hall - Arithmetic - 1903 - 398 pages
...angles equal; and 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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A Text-book of Euclid's Elements for the Use of Schools, Book 1

Euclid - Euclid's Elements - 1904 - 488 pages
...to the following important Corollary. COROLLARY. If in two triangles the three sides of the one are equal to the three sides of the other, each to each, then the triangles are equal in all respects. [An alternative proof, which is independent of Prop. 7, will be...
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