 | 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... | |
 | 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... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | Paul Henry Hanus - Geometry - 1893 - 76 pages
...of 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 subject,... | |
 | George Cunningham Edwards - Geometry - 1895 - 330 pages
...for another and may be made to occupy exactly B Fro. 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 (g) having : AB=DE, BC = DF, and AC=EF, be so placed... | |
 | Elias Loomis - Geometry - 1895 - 450 pages
...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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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. 
