 | Charles Davies, Adrien Marie Legendre - 1885 - 538 pàgines
...greater than the angle EDF. PROPOSITION X. THEOREM. If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are equal in all respects. In the triangles ABC and DEF, let AB be equal to DE, AC to DF,... | |
 | New York (N.Y.). Board of Education - 1885 - 990 pàgines
...each, the two triangles are equal in all respects. If two triangles have the three sides of the one equal to the three sides of the other, each to each, the two triangles are equal, and the equal angles are opposite the equal sides. If two sides of a triangle... | |
 | Canada. Department of the Interior - 1888 - 756 pàgines
...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 - 1889 - 80 pàgines
...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 - 1894 - 76 pàgines
...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... | |
 | Euclid - 1890 - 442 pàgines
...AC. Note (i) — Props. 5 and 6 are converses of each other, see p. I. Proposition 8. THEOREM — If two triangles have the three sides of the one respectively equal to the three sides of the other, then the triangles are identically equal, and of the angles those are equal which are opposite equal... | |
 | Edward Travers Dixon - 1891 - 180 pàgines
...angle BAC must be greater than the angle EDF. Therefore If two triangles &c. QED PROPOSITION XIV. If two triangles have the three sides of the one respectively equal to the three sides of the other, they shall be congruent. For if one angle of the one were either greater or less than the corresponding... | |
 | Seth Thayer Stewart - 1891 - 428 pàgines
...The triangles PAC and QDE are, then, isosceles triangles, and they have the three sides of the one equal to the three sides of the other, each to each. The same is true of the triangles PAB and QDF; and, also, of PBC and QF E. The corresponding isosceles... | |
 | Wooster Woodruff Beman, David Eugene Smith - 1895 - 344 pàgines
...segments compare in length with its adjacent side of the triangle ? Prove it. TRIANGLES. Theorem 12. If two triangles have the three sides of the one respectively equal to the three sides of the other, the triangles are congruent. FIG. 3. Given A ABC, AB'C, with AB = AB', BC=B'C,and AC=AC. To prove that... | |
 | Wooster Woodruff Beman, David Eugene Smith - 1895 - 346 pàgines
...meeting X'X at A, B; and if YA = YB, and AO^ OB, which is the greater, L AYO or L OYB ? Theorem 12. If two triangles have the three sides of the one respectively equal to the three sides of the other, the triangles are congruent. B B' CB Given A ABC, AB'C, with AB = AB', BC = B'C, and AC=AC. To prove... | |
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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. 
