| James Hayward - Geometry - 1829 - 228 pages
...the two triangles would therefore be equal in all their parts. And we say universally,— When two **triangles have two sides of the one equal to two sides of the** otlicr, each to each, and the angle contained by these two sides of the one, equal to the angle contained... | |
| 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
...two right-angular triangles are equal. 94 GEOMETRY. 21. If in two triangles two sides of the one are **equal to two sides of the other, each to each, but the angle** included by the two sides in one triangle is greater than the angle included by the two sides in the... | |
| 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... | |
| 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 of the other; the base of that... | |
| 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... | |
| Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...respectively, and also the angles between those sides equal to one another. Wherefore, universally, if two **triangles have two sides of the one, equal to two sides of the** other respectively ; &c. Which was to be demonstrated. PROPOSITION V. THEOREM. — In any isoskeles... | |
| Francis Joseph Grund - Geometry, Plane - 1834 - 204 pages
...to each, the two rightangled triangles are equal. 20. If in two triangles two sides of the one are **equal to two sides of the other, each to each, but the angle** included by the two sides in one triangle, is greater than the angle included by them in the other,... | |
| Euclid - 1835 - 540 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... | |
| Robert Simson - Trigonometry - 1835 - 544 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 of that... | |
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