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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. "
Mathematical Dictionary and Cyclopedia of Mathematical Science Comprising ... - Page 275
by Charles Davies, William Guy Peck - 1859 - 592 pages
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Annual Report

Canada. Department of the Interior - 1888 - 756 pages
...7 5 i 8 8 8 8 8 11 11 [PART n] GEOMETRY. Time, 3 hours. 1. If two triangles have the three sides of one equal to the three sides of the other, each to each, the triangles shall be eqnal in all respects. 2. Parallelograms on equal bases and between the same parallels...
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Principles of Plane Geometry

James Wallace MacDonald - Geometry - 1894 - 76 pages
...the triangles are equal. Proposition XXVIII. A Theorem. 65. If two triangles have the three sides of one equal to the three sides of the other, each to each, the triangles are equal. Proposition XXIX. A Problem. 66. Construct an equilateral triangle having sides...
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Principles of Plane Geometry

James Wallace MacDonald - Geometry - 1889 - 80 pages
...the triangles are equal. Proposition XXVIII. A Theorem. 65. If two triangles have the three sides of one equal to the three sides of the other, each to each, the triangles are equal. Proposition XXIX. A Problem. Proposition XXX. A Problem. 67. Construct a triangle...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...triangles are congruent. The student would do 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
...; AH is common, by construction ; and AB is equal to AC, by hypothesis. The two triangles have then the three sides of the one equal to the three sides of the other, each to each, and they are, therefore, equal. (PROP, in.) The corresponding parts being equal to each other, the...
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Plane and Solid Geometry

Seth Thayer Stewart - Geometry, Modern - 1891 - 428 pages
...: / 2 3 and 456 being any two triangles, etc. PROPOSITION III. 134. 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. AS Statement: Let the two triangles A CB and HFE have the side AC...
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Plane and Solid Geometry

Seth Thayer Stewart - Geometry - 1891 - 428 pages
...: / 2 3 and 456 being any two triangles, etc. PROPOSITION III. 134. Theorem : If two triangles have three sides of the one equal to the three sides of the other, each to cucli, they are equal in all their parts. Statement: Let the two triangles AC B and H FE have the side...
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The Sewanee Review, Volume 4

American fiction - 1895 - 540 pages
...he 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 wires, he sees that 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 - 324 pages
...figure may be 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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