| James Wallace MacDonald - Geometry - 1889 - 63 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 - 515 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 - 542 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 - 52 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 - 332 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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