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 CorrectedJ. Nourse, London, 1781 - 520 sider |
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Side 34
... PROP . XXVII . THEOR . IF a ftraight line falling upon two other straight lines makes the alternate angles equal to one another , these two straight lines fhall be parallel .. Let the ftraight line EF , which falls upon the two ftraight ...
... PROP . XXVII . THEOR . IF a ftraight line falling upon two other straight lines makes the alternate angles equal to one another , these two straight lines fhall be parallel .. Let the ftraight line EF , which falls upon the two ftraight ...
Side 40
... PROP . XXXV . THEOR . ARALLELOGRAMS upon the fame base and between the fame parallels , are equal to one another ... PROP . PROP . XXXVI . THEOR . Book I. P ARALLELOGRAMS 40 THE ELEMENTS.
... PROP . XXXV . THEOR . ARALLELOGRAMS upon the fame base and between the fame parallels , are equal to one another ... PROP . PROP . XXXVI . THEOR . Book I. P ARALLELOGRAMS 40 THE ELEMENTS.
Side 43
... PROP . XL . THEOR . E QUAL triangles upon equal bases , in the fame ftraight line , and towards the fame parts , are be- tween the fame parallels . Let the equal triangles ABC , DEF be upon equal bafes BC , EF , in the fame ftraight ...
... PROP . XL . THEOR . E QUAL triangles upon equal bases , in the fame ftraight line , and towards the fame parts , are be- tween the fame parallels . Let the equal triangles ABC , DEF be upon equal bafes BC , EF , in the fame ftraight ...
Side 62
... PROP . XI . PROB . O divide a given straight line into two parts , fo that the rectangle contained by the whole , and one of the parts , fhall be equal to the fquare of the ... PROP PROP . XII . THE OR . IN obtufe angled 62 THE ELEMENTS.
... PROP . XI . PROB . O divide a given straight line into two parts , fo that the rectangle contained by the whole , and one of the parts , fhall be equal to the fquare of the ... PROP PROP . XII . THE OR . IN obtufe angled 62 THE ELEMENTS.
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The Elements of Euclid: Viz. The First Six Books, Together with the Eleventh ... Euclid Uten tilgangsbegrensning - 1793 |
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alfo alſo angle ABC angle BAC bafe baſe BC is equal BC is given becauſe the angle bifected Book XI cafe centre 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 fides BA fimilar fince firft firſt folid angle fome fore fphere 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 oppofite parallel parallelepipeds parallelogram perpendicular polygon prifm propofition proportionals pyramid Q. E. D. PROP rectangle contained rectilineal figure right angles ſquare thefe THEOR theſe triangle ABC vertex wherefore