The Elements of EuclidA. Foulis, 1838 - 466 páginas |
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Página 48
... produced to any point ; the rectangle contained by the whole line thus produced , and the part of it produced , together with the fquare of half of the line bifected , is equal to the fquare of the ftraight line which is made up of the ...
... produced to any point ; the rectangle contained by the whole line thus produced , and the part of it produced , together with the fquare of half of the line bifected , is equal to the fquare of the ftraight line which is made up of the ...
Página 52
... produced , and the fquare of the part of it produced are together double of the fquare of half the line bifected , and of the fquare of the line made up of the half and the part produced . Let the ftraight line AB be bifected in C , and ...
... produced , and the fquare of the part of it produced are together double of the fquare of half the line bifected , and of the fquare of the line made up of the half and the part produced . Let the ftraight line AB be bifected in C , and ...
Página 202
... produced , either on the fide of FH , or EG . firft , let them be produced on the fide of FH , and meet in the point K. therefore fince EFK is in the plane AB , every point in EFK is in that plane ; and K is a point in EFK ; therefore K ...
... produced , either on the fide of FH , or EG . firft , let them be produced on the fide of FH , and meet in the point K. therefore fince EFK is in the plane AB , every point in EFK is in that plane ; and K is a point in EFK ; therefore K ...
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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