The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth. The Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected; and Some of Euclid's Demonstrations Restored. Also the Book of Euclid's Data, in Like Manner CorrectedCuthell & Martin, London, 1803 - 520 sider |
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Resultat 1-3 av 88
Side 56
... whole line thus produced , and the part of it produced , together with the fquare of half the line bifected , is equal to the fquare of the ftraight line which is made up of the half and the part produced . Let the ftraight line AB be ...
... whole line thus produced , and the part of it produced , together with the fquare of half the line bifected , is equal to the fquare of the ftraight line which is made up of the half and the part produced . Let the ftraight line AB be ...
Side 143
... whole magnitude be to a whole , as a magnitude See N. taken from the first , is to a magnitude taken from the other ; the remainder fhall be to the remainder , as the whole to the whole . Let the whole AB , be to the whole CD , as AE ...
... whole magnitude be to a whole , as a magnitude See N. taken from the first , is to a magnitude taken from the other ; the remainder fhall be to the remainder , as the whole to the whole . Let the whole AB , be to the whole CD , as AE ...
Side 185
... whole line AB by the parallelogram KH fimi- lar , and fimilarly fituated to CE ; AD is greater than AF . First , let ... whole CH is equal to the whole KE : But CH is equal to CG , be- cause the bafe AC is equal to the bafe CB ...
... whole line AB by the parallelogram KH fimi- lar , and fimilarly fituated to CE ; AD is greater than AF . First , let ... whole CH is equal to the whole KE : But CH is equal to CG , be- cause the bafe AC is equal to the bafe CB ...
Andre utgaver - Vis alle
The Elements of Euclid: Viz. The First Six Books, Together with the Eleventh ... Euclid Uten tilgangsbegrensning - 1793 |
The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1781 |
Vanlige uttrykk og setninger
AC is equal alfo alſo angle ABC angle BAC bafe baſe BC is given becauſe the angle becauſe the ratio bifected Book XI cafe centre circle ABCD circumference cone cylinder defcribed demonftrated drawn EFGH equal angles equiangular equimultiples Euclid excefs faid fame manner fame multiple fame ratio fame reafon fecond fegment fhall fide BC fides fimilar 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 prifm PROP propofition proportionals pyramid rectangle contained rectilineal figure right angles ſhall ſphere ſquare thefe THEOR theſe tiple triangle ABC wherefore