| Daniel Cresswell - 1816 - 352 páginas
...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
...the other, coincide entirely ; thus two circles having the same radius arc equal ; and two triangles **having the three sides of the one equal to the three sides of the other,** each to each, are also equal. 162. Two figures are similar, which have the angles of the one equal... | |
| Adrien Marie Legendre, John Farrar - 1825 - 280 páginas
...however dissimilar ; thus a circle may be equivalent to a square, a triangle to a rectangle, &c. .fc **having the three sides of the one equal to the three sides of the other,** each to each, are also equal. 162. Two figures are similar, which have the angles of the one equal... | |
| Adrien Marie Legendre, John Farrar - 1825 - 294 páginas
...equivalent, however dissimilar ; thus a circle may be equivalent to a square, a triangle to a rectangle, &c. **having the three sides of the one equal to the three sides of the other,** each to each, are also equal. 162. Two figures are similar, which have the angles of the one equal... | |
| Adrien Marie Legendre - 1825 - 276 páginas
...from the vertex A to the point D the middle of the base BC ; the two triangles ABD, ADC, will have **the three sides of the one, equal to the three sides of the** qther, each to each, namely, AD common to both, AB — AC, by hypothesis, and BD = DC, by construction... | |
| George Lees - 1826 - 276 páginas
...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... | |
| James Hayward - 1829 - 228 páginas
...parts ; they are not different, therefore, but equal; and \ve 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
...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.... | |
| Pierce Morton - 1830 - 584 páginas
...three angles of the one equal to the three angles of the other, each to each, they shall likewise have **the three sides of the one equal to the three sides of the** othrr, each to each, viz. those which are opposite to the equal angles.* Let the spherical triangles... | |
| 1835 - 684 páginas
...describe (42.) the equilateral triangle BDC, and join A D. Then, because the triangles AB D, А С D have **the three sides of the one equal to the three sides of the other,** each to each, (7.) the angle BAD is equal to the angle CAD, Therefore, &c. Cer. By repeating this process... | |
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