| Benjamin Donne - 1796 - 118 pages
...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. Ciť For if the triangle DEF be... | |
| Daniel Cresswell - Geometry - 1816 - 294 pages
...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 - Geometry - 1819 - 208 pages
...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 - Geometry - 1825 - 280 pages
...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 - Geometry - 1825 - 224 pages
...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 pages
...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 - Geometry - 1825 - 280 pages
...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 - 266 pages
...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 - Geometry - 1829 - 218 pages
...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 - Mathematics - 1830 - 462 pages
...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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