 | 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... | |
 | 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... | |
 | 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... | |
 | Euclides - 1834 - 518 pages
...Cunstr. 19. 1. PROPOSITION XXV. THEOR. — If ' two triangles have two sides of the one, equal to Sec N. two sides of the other, each to each, but the base of the one, greater than the base of the other, Ike angle contained by the sides of that which has the greater base, shall be greater than the angle... | |
 | 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... | |
 | 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... | |
 | 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 - Euclid's Elements - 1836 - 488 pages
...triangles, &c. QED •i ' "Jr ,' $'~ PROP. XXV. THEOR. If two triangles have two sides of the one equalto two sides of the other, each to each, but the base...one greater than the base of the other ; the angle contained by the sides of that which has the greater base, shall be greater than the angle contained... | |
| |
If two triangles have two sides of the one equal to two sides of the... 
