| Charles Davies - Geometry - 1886 - 352 pages
...former is called a direct, and the latter an indirect demonstration. THEOREM VIII. If two tnangles have the three sides of the one equal to the three sides of the other, each to each, the three angles wiU also be equal, each to each. Let the two triangles ABC, ABD, have the side AB equal... | |
| 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... | |
| 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... | |
| 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... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...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... | |
| 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
...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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