| Pierce Morton - Geometry - 1830 - 584 pages
...to, or greater than, or Jess than a semicircumference. 190 VI. $ 2.] 191 PROP. 13. If two spherical **triangles have two sides of the one equal to two sides of the** other, fach to each, and likewise the included angles equal ; their other angles shall be equal, each... | |
| Francis Joseph Grund - Geometry, Plane - 1830 - 274 pages
...part, only to the coincidence of triangles. QUERY I. If in two triangles, two sides of the one are **equal to two sides of the other, each to each, and the** angles which are included by them also equal to one another, what relation will these two triangles... | |
| Richard Wilson - Logarithms - 1831 - 372 pages
...spherical polygon is less than the circumference of a great circle, (art. 32.) 49. PROP. If two spherical **triangles have two sides of the one equal to two sides of the other, each to each ; and** have likewise the angles contained by those sides equal to one another, the two triangles shall be... | |
| John Playfair - Euclid's Elements - 1832 - 358 pages
...the given rectilineal angle DCE- Which was to be done. PROP. XXIV. THEOR. If two triangles have fwo **sides of the one equal to two sides of the other, each to each,** but the angle contained by the Iwvsidesof the one prettier limn the angle contained by the two sides... | |
| Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...conditions. Wherefore, universally, if two triangles have two sides &c. Which was to be demonstrated. **THEOREM. — If two triangles have two sides of the one, equal to two sides of the** other respectively, but the third side of the one is greater than the third side of the other ; the... | |
| Education - 1833 - 414 pages
...as possible, and also of many superfluous phrases. For instance, ' if there be two triangles which **have two sides of the one equal to two sides of the other, each to each,** Sic.' The phrase in italics is not an English idiom, but the literal translation of the Greek Ixserega... | |
| Francis Joseph Grund - Geometry, Plane - 1834 - 212 pages
...triangles, which you have learned in this section ? Am. 1. If, in two triangles, two sides of the one are **equal to two sides of the other, each to each, and the** angles which are included by them are also equal to one another, the two triangles are equal in all... | |
| Euclid - 1835 - 540 pages
...greater than EF. Therefore, " if two triangles," &c. QED PROP. XXV. THEOR. If two triangles have tiro **sides of the one equal to two sides of the other, each to each,** but the base of the one greater than the base of the other ; the angle also contained by the sides... | |
| Mathematics - 1835 - 684 pages
...another in each of the points С, Е. Join AC, AE, В С, BE. Then because the triangles AD С, ADE **have two sides of the one equal to two sides of the** other, and have also the included angles ADC, ADE equal to one another, the base А С (I. 4.) is equal... | |
| John Playfair - Geometry - 1836 - 148 pages
...be equal to them, viz. the angle ABC to the angle DEF, and the angle ACB to DFE. Therefore, if two **triangles have two sides of the one equal to two sides of the other, each to each, and** have likewise the angles contained by those sides equal to one another ; their bases shall likewise... | |
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