 | Euclides - 1834 - 518 pages
...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 - Trigonometry - 1835 - 544 pages
...to the angle FAG. Therefore at b8. 1. the given point A in the given straight line AB, the angle FAG is made equal to the given rectilineal angle DCE....THEOR. If two triangles have two sides of the one equal see N. to two sides of the other, each to each, but the angle contained by the two sides of one of... | |
 | Euclid - 1835 - 540 pages
...to the angle FAG. Therefore at b8. l. the given point A in the given straight line AB, the angle FAG is made equal to the given rectilineal angle DCE....THEOR. If two triangles have two sides of the one equal See N. to two sides of the other, each to each, but the angle contained by the two sides of one of... | |
 | 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
...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 equal to two sides of the other, each to each ; and have likewise the angles contained by those sides equal to one another, they shall likewise have... | |
 | Adrien Marie Legendre - Geometry - 1836 - 394 pages
...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... | |
 | Mathematics - 1836 - 488 pages
...lines which intersect one another, cannot be both parallel to the same straight line." PROP. IV. 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, or third... | |
 | Schoolmaster - 1836 - 926 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, &c." The phrase in italics is not an English idiom, but the literal translation of the Greek '.y.xrepa.... | |
 | Education - 1836 - 502 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, &c." The phrase in italics is not an English idiom, but the literal translation of the Greek twrepa.... | |
 | John Playfair - Euclid's Elements - 1837 - 332 pages
...another, and likewise those which are terminated in the other extremity equal to one another. PROP. VIII. THEOR. -, If two triangles have two sides of the one equal to two sides of the other, each to each, and have likewise their bases equal ; the angle which is contained by the two sides of the one shall... | |
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If two triangles have two sides of the one equal to two sides of the... 
