| Benjamin Donne - 1796 - 120 páginas
...the line DF will coincide with AC, and EF with BC. THEOREM 16. If two triangles have three sides of one equal to the three sides of the other, each to each, thefe triangles are equal in every rcfpeft. — 8 E. 1, or 17 D. 1. Ci» For if the triangle DEF be... | |
| Daniel Cresswell - 1816 - 352 páginas
...which are equal to them, are equal to one another. (2l6.) COR. 2. Hence, if two spherical triangles have the three sides of the one equal to the three sides of the other, or two sides and the included angle in the one, equal to two sides and the included angle, in the other,... | |
| Adrien Marie Legendre - 1819 - 574 páginas
...and AD = CB, the equal sides will be parallel, and the Jigure will be a parallelogram. Demonstration. Draw the diagonal BD ; the two triangles ABD, BDC,...have the three sides of the one equal to the three t A reentering angle is one whose vertex is directed inward, as fig. 43. CDE (Jig. 13), while a saliant... | |
| Adrien Marie Legendre, John Farrar - 1825 - 280 páginas
...and AD = CB, the equal sides will be parallel, and the figure will be a parallelogram. Demonstration. Draw the diagonal BD ; the two triangles ABD, BDC,...equal to the three sides of the other, each to each, they are therefore equal, and the angle ADB opposite to the side AB is equal to the angle DBC opposite... | |
| Adrien Marie Legendre, John Farrar - 1825 - 294 páginas
...AD = CB, the equal sides will be parallel, and the figure will lie a parallelogram. Demonstration' Draw the diagonal BD ; the two triangles ABD, BDC,...equal to the three sides of the other, each to each, they are therefore equal, and the angle ADB opposite to the side AB is equal to the angle DBC opposite... | |
| Adrien Marie Legendre - 1825 - 570 páginas
...and AD = CB, the equal sides will be parallel, and the figure will be a parallelogram. Demonstration. Draw the diagonal BD ; the two triangles ABD, BDC,...equal to the three sides of the other, each to each, they are therefore equal, and the angle ADB opposite to the side AB is equal to the angle DBC opposite... | |
| Adrien Marie Legendre - 1825 - 276 páginas
...and AD = CB, the equal sides will be parallel, and the figure will be a parallelogram. Demonstration. Draw the diagonal BD ; the two triangles ABD, BDC,...have the three sides of the one equal to the three t A re-entering angle is one whose vertex is directed inward, as Fig. 43. CDE (fg. 43), while a saliant... | |
| George Lees - 1826 - 276 páginas
...base at right angles. OF GEOMETRY. Book I. s Sup. PROP. IV. THEOREM. If two triangles, ABC and DEF, have the three sides of the one equal to the three sides of the other, each to each, viif. AB to DE, AC to DF, and BC to EF, the triangles are equal in every respect. Let AB be that side... | |
| James Hayward - 1829 - 218 páginas
...their parts ; they are not different, therefore, but equal; and we say, universally, When two triangles have the three' sides of the one equal to the three sides of the other respectively, the angles will also be equal, respectively, and the two triangles will be equal in all... | |
| Alexander Ingram - 1830 - 458 páginas
...one and the same great circle, meet in the poles of that circle. PROP. V. If two spherical triangles have the three sides of the one equal to the three sides of the other, each to each, the angles which are opposite to the equal sides are likewise equal ; and conversely. PROP. VI. If... | |
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