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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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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...well to learn the enunciation in the subjoined form : — If two triangles have the three sides of the one equal to the three sides of the other, each to each, then the triangles are identically equal, and of the angles, those are equal which are opposite to...
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Plane and Solid Geometry

Seth Thayer Stewart - Geometry, Modern - 1891 - 422 pages
...being any two triangles, etc. PROPOSITION III. 124. Theorem : 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 their parts. A Statement : Let the two triangles ACB and H FE have the side AC...
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The Sewanee Review, Volume 4

American fiction - 1895 - 540 pages
...would a verse of poetry. Let us now consider another form of the proof. 282 The Sewanec Review. 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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Geometry in the Grammar School: An Essay ...

Paul Henry Hanus - Geometry - 1893 - 76 pages
...three lines determine only one triangle, and hence that all triangles having the three sides of the one equal to the three sides of the other each to each are equal. In early instruction then the presentation of a new subject, and of each new phase of a...
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Elements of Geometry

George Cunningham Edwards - Geometry - 1895 - 330 pages
...called a diagonal), we would have the figure separated FiO. 52. into two triangles, which would have the three sides of one equal to the three sides of the other, and would be equal. Can we show that the triangles are equal (congruent), making use only of previously...
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The Werner Arithmetic: Oral and Written, Book 3

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

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

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

Frank H. Hall - Arithmetic - 1898 - 326 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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A Complete Arithmetic ...

Frank H. Hall - Arithmetic - 1899 - 456 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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