 If two triangles have two sides and the inchtded angle of the one respectively equal to two sides and the included angle of the other, the two triangles are equal in all respects.  Elements of Geometry - Σελίδα 160των Adrien Marie Legendre - 1819 - 208 σελίδεςΠλήρης προβολή - Σχετικά με αυτό το βιβλίο
 | Eli Todd Tappan - 1868 - 444 σελίδες
...equal sides (594). 773. Corollary The radius being the same, two spherical triangles are equal, 1st. When they have two sides and the included angle of the one respectively equal to those parts of the other, and similarly arranged ; 2d. When they have one side and the adjacent angles... | |
 | Richard Wormell - 1870 - 304 σελίδες
...greater than the angle opposite the less (§76). On the equality of triangles. 12. When two triangles have two sides and the included angle of the one respectively equal to two sides and the included angle of the other, the triangles are equal in all respects (§88 a). 13. When two triangles have two angles... | |
 | Henry William Watson - 1871 - 320 σελίδες
...the area of either of these triangles. " PROPOSITION 2. Two parallelograms which have two adjacent sides and the included angle of the one respectively equal to two adjacent sides and the included angle of the other are also equal in area. Fig•. 8. Let ABCD and... | |
 | William Frothingham Bradbury - 1872 - 262 σελίδες
...exterior angle is equal to the sum of the two interior and opposite. THEOREM VIII. 40, If two triangles have two sides and the included angle of the one respectively equal to two sides and the included angle of the other, the two triangles are equal in all respects. In the triangles ABC, DEF, let the side... | |
 | William Frothingham Bradbury - 1872 - 124 σελίδες
...exterior angle is equal to the sum of the two interior and opposite. THEOREM VIII. 40. If two triangles have two sides and the included angle of the one respectively equal to two sides and the included angle of the other, the two triangles are equal in all respects. In the triangles ABC, DEF, let the side... | |
 | Eli Todd Tappan - 1873 - 288 σελίδες
...sides (594). 773. Corollary — The radius being the same, two spherical triangles are equal, 1st. When they have two sides and the included angle of the one respectively equal to those parts of the other, and similarly arranged; 2d. When they have one side and the adjacent angles... | |
 | Edward Olney - 1872 - 562 σελίδες
...let the triangle ACE = the triangle DFE. Bisect ECB with CH, and draw HE. The triangles HCB and HCE have two sides and the included angle of the one, respectively equal to the corresponding parts of the other, whence HE = HB. Now AH + HE > AE; but AH + HE = AH + HB = AB.... | |
 | Edward Olney - 1872 - 472 σελίδες
...let the triangle ACE = the triangle DFE. Bisect ECB with CH, and draw HE. The triangles HCB and HCE have two sides and the included angle of the one, respectively equal to the corresponding parts of the other, whence HE = HB. Now AH + HE > AE; but AH + HE = AH + HB = AB.... | |
 | William Frothingham Bradbury - 1877 - 262 σελίδες
...it is greater than either of them. THEOREM X. 80. If two triangles have two sides and the inchtded angle of the one respectively equal to two sides and the included angle of the other, the two triangles are equal in all respects. In the triangles ABC, DEF, let the side... | |
 | Eli Todd Tappan - 1868 - 454 σελίδες
...indifferently. TWO SIDES AND INCLUDED ANGLE. 284. Theorem — Two triangles are equal when they have two sidex and the included angle of the one, respectively equal to two sides and the included angle of the other. If the angle A is equal to D, and the side AB to the side DF, and AC to DE, then the... | |
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