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 197
... pyramid is a folid figure contained by planes that are confti- . tuted betwixt one plane and one point above it in which they meet . XIII A prifm is a folid figure contained by plane figures of which two that are oppofite are equal ...
... pyramid is a folid figure contained by planes that are confti- . tuted betwixt one plane and one point above it in which they meet . XIII A prifm is a folid figure contained by plane figures of which two that are oppofite are equal ...
Side 257
... pyramid . D Let there be a pyramid of which the base is the triangle ABC and its vertex the point D : The pyramid ABCD may be divi- ded into two equal and fimilar pyramids having triangular bafes , and fimilar to the whole ; and into ...
... pyramid . D Let there be a pyramid of which the base is the triangle ABC and its vertex the point D : The pyramid ABCD may be divi- ded into two equal and fimilar pyramids having triangular bafes , and fimilar to the whole ; and into ...
Side 258
... pyramid the bafe of which is the triangle KHL , and vertex the point D : And because HK is parallel to AB a fide of ... pyramid of which the bafe is the triangle ABC , and vertex the point D , is therefore fimilar i to the pyramid of ...
... pyramid the bafe of which is the triangle KHL , and vertex the point D : And because HK is parallel to AB a fide of ... pyramid of which the bafe is the triangle ABC , and vertex the point D , is therefore fimilar i to the pyramid of ...
Side 259
... pyramid is equal to the pyramid the e C. II . bafe of which is the triangle AEG , and vertex the point H ; because they are contained by equal and fimilar planes : Where- fore the prifm having the parallelogram EBFG for its base , and ...
... pyramid is equal to the pyramid the e C. II . bafe of which is the triangle AEG , and vertex the point H ; because they are contained by equal and fimilar planes : Where- fore the prifm having the parallelogram EBFG for its base , and ...
Side 260
... pyramids of the fame altitude , upon triangular bases , and each of them be divided into two equal pyramids fimilar to the whole pyramid , and also into two equal prifms ; and if each of these pyramids be divided in the fame manner as ...
... pyramids of the fame altitude , upon triangular bases , and each of them be divided into two equal pyramids fimilar to the whole pyramid , and also into two equal prifms ; and if each of these pyramids be divided in the fame manner as ...
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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