The Elements of EuclidA. Foulis, 1838 - 466 páginas |
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Página 112
... fecond , as the third to ' the fourth . ' VII . When of the equimultiples of four magnitudes ( taken as in the 5th Definition ) the multiple of the firft is greater than that of the fecond , but the multiple of the third is not greater ...
... fecond , as the third to ' the fourth . ' VII . When of the equimultiples of four magnitudes ( taken as in the 5th Definition ) the multiple of the firft is greater than that of the fecond , but the multiple of the third is not greater ...
Página 113
... fecond to the fourth . as is fhewn in the : 6th Prop . of this sth Book . XIV . Invertendo , by Inverfion ; when there are four proportionals , and it is inferred , that the fecond is to the firft , as the fourth to the third . Prop . B ...
... fecond to the fourth . as is fhewn in the : 6th Prop . of this sth Book . XIV . Invertendo , by Inverfion ; when there are four proportionals , and it is inferred , that the fecond is to the firft , as the fourth to the third . Prop . B ...
Página 116
... fecond that the fixth is of the fourth ; then shall the first together with the fifth be the fame multiple of the fecond , that the third toge- ther with the fixth is of the fourth . Then is Let AB the first be the fame multiple of C the ...
... fecond that the fixth is of the fourth ; then shall the first together with the fifth be the fame multiple of the fecond , that the third toge- ther with the fixth is of the fourth . Then is Let AB the first be the fame multiple of C the ...
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Términos y frases comunes
AC is equal alfo alſo angle ABC angle BAC bafe baſe BC is given becauſe the angle bifected Book XI cafe circle ABCD circumference cone confequently conftruction cylinder defcribed demonftrated diameter drawn equal angles equiangular equimultiples Euclid excefs faid fame manner fame multiple fame ratio fame reafon fecond fegment fhall fhewn fide BC fides fimilar fince firft firſt folid angle fome fore fquare of AC ftraight line AB given angle given ftraight line given in fpecies given in magnitude given in pofition given magnitude given ratio gnomon greater join lefs leſs likewife line BC muſt oppofite parallel parallelepipeds parallelogram perpendicular prifms Propofition proportionals pyramid rectangle contained rectilineal figure right angles ſhall ſphere ſquare thefe THEOR theſe thro tiple triangle ABC wherefore