 | 1833 - 414 sider
...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 - 1833 - 168 sider
...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 sider
...than EF. Therefore, i'f two triangles, &c. • 23. I. •3.1. t Hyp. f 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... | |
 | Robert Simson - 1835 - 544 sider
...equal to one another, and likewise those which are terminated in the other extremity." QED PROP. VIII. THEOR. If two triangles have -two sides of the one...angle which is contained by the two sides of the one shallbe equal to the angle contained by the two sides equal to them of the other. Let ABC, DEF be two... | |
 | Euclid - 1835 - 540 sider
...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... | |
 | 1835 - 684 sider
...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 - 1836 - 148 sider
...number of straight lines, which meet in one point, are together equal to four right angles. PROP. IV. THEOR. If two triangles have two sides of the one...sides of the other, each to each ; and have likewise the angles contained by those sides equal to one another, they shall likewise have their bases, or... | |
 | Adrien Marie Legendre - 1836 - 394 sider
...found that BO + OC< BD + DC ; therefore, still more is BO + OC<BA+AC. PROPOSITION IX. THEOREM. If two triangles have two sides of the one equal to two sides of the other, each to each, and the included angles unequal, the third sides will be unequal; and the greater side will belong to the... | |
 | 1836 - 488 sider
...shall be less than the other two sides of the triangle, but shall contain a greater angle. XXIV. If two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by the two sides of the one greater than the angle contained by the two sides... | |
 | 1836 - 502 sider
...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, &c." The phrase in italics is not an English idiom, but the literal translation of the Greek twrepa.... | |
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If two triangles have two sides of the one equal to two sides of the... 
