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 are Restored. Also the Book of Euclid's Data, in Like Manner CorrE. Wingrove, London, and J. Balfour, Edinburgh, 1793 - 520 sider |
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Side 295
... Greek text ; and the Reasons of the Alterations which have been made . As alfo Obfervations on fome of the Propofitions . BY ROBERT SIMSON , M. D. Emeritus Profeffor of Mathematics in the University of Glasgow . EDINBURGH : Printed for ...
... Greek text ; and the Reasons of the Alterations which have been made . As alfo Obfervations on fome of the Propofitions . BY ROBERT SIMSON , M. D. Emeritus Profeffor of Mathematics in the University of Glasgow . EDINBURGH : Printed for ...
Side 298
... Greek copies , a more diftinct one is given from a property of a plane superficies , which is manifeftly fuppofed in the elements , viz . that a straight line drawn from any point in a plane to any other in it , is wholly in that plane ...
... Greek copies , a more diftinct one is given from a property of a plane superficies , which is manifeftly fuppofed in the elements , viz . that a straight line drawn from any point in a plane to any other in it , is wholly in that plane ...
Side 300
... Greek text , but is as neceffary as the other : And that the cafe left out has been formerly in the text , appears plainly from this , that the fecond part of prop . 5. which is neceffary to the demonstration of this cafe , can be of no ...
... Greek text , but is as neceffary as the other : And that the cafe left out has been formerly in the text , appears plainly from this , that the fecond part of prop . 5. which is neceffary to the demonstration of this cafe , can be of no ...
Side 307
... demonstrations of these cases . PROP . XIV . B. II . In the demonftration of this , fome Greek editor has ig- norantly inferted the words , " but if not , one of the two BE , U 2 66 ED , Book II . " ED is the greater : let NOTE S. 307.
... demonstrations of these cases . PROP . XIV . B. II . In the demonftration of this , fome Greek editor has ig- norantly inferted the words , " but if not , one of the two BE , U 2 66 ED , Book II . " ED is the greater : let NOTE S. 307.
Side 308
... Greek text would not have fuited with this figure fo well , because the centres of the circles muít have been placed near to the cir- cumferences : On which account another conftruction and de- monftration is given , which is the fame ...
... Greek text would not have fuited with this figure fo well , because the centres of the circles muít have been placed near to the cir- cumferences : On which account another conftruction and de- monftration is given , which is the fame ...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1781 |
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alfo alſo angle ABC angle BAC bafe baſe BC is equal BC is given becauſe the angle becauſe the ratio bifected Book XI cafe centre circle ABCD circumference cone confequently conftruction cylinder defcribed demonftrated diameter drawn EFGH equal angles equiangular equimultiples Euclid excefs faid fame multiple fame ratio 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 parallelepiped parallelogram perpendicular plane angles PROP propofition proportionals pyramid rectangle contained rectilineal figure right angles ſame ſhall ſphere ſquare THEOR theſe tiple triangle ABC wherefore