## 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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**fome**of EUCLID'S Demonftrations are reftored . ALSO THE BOOK OF EUCLID'S DATA , In like manner corrected . BY ROBERT SIMSON , M. D. Emeritus Profeffor of Mathematics in the University of Glasgow . To this SIXTH EDITION are also annexed ... Side 5

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**fome**things , fuppreffing others , and mixing his own with Euclid's Demonftrations , had changed more things to the worse than is commonly supposed , and those not of i̇mall moment , especially in the Fifth and Eleventh Books of the ... Side 7

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**fome**of the genuine Demonstra- tions of Euclid , who has ever been justly celebrated as the most accurate of Geometers , and by reftoring to him thofe Things which Theon or others have fuppreffed , and which have these many ages been ... Side 134

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**fome**multiple F of C , and**fome**equimultiples E and D of B and A. c D E F fuch , that F is greater than E , and not greater than D ; but be- caufe C is to B , as C is to A , and that F , the multiple of the firft , is greater than E ... Side 135

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**fome**multiple F of C , and**fome**equimultiples E and D of B and A fuch , that F is greater than E , but is not greater than D : E therefore is less than D ; and because E and D are equimultiples of B and A , therefore B is less than A ...### Andre utgaver - Vis alle

The Elements of Euclid: Viz. The First Six Books, Together with the Eleventh ... Euclid Uten tilgangsbegrensning - 1793 |

### Vanlige uttrykk og setninger

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