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 O F Euclid's Data in Like Manner CorrectedF. Wingrave, 1809 - 531 sider |
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Side 305
... given in that book 66 as in this But indeed there is scarce any need of it ... species of compound ratio : But Theon has made it the 5th def . of B. 6 ... given , but they retain also Theon's , which they ought to have left out of the Ele ...
... given in that book 66 as in this But indeed there is scarce any need of it ... species of compound ratio : But Theon has made it the 5th def . of B. 6 ... given , but they retain also Theon's , which they ought to have left out of the Ele ...
Side 359
... species , which have each of their angles given , and the ratios of their sides given . IV . Points , lines , and spaces , are said to be given in position , which have always the same situation , and which are either actually exhibited ...
... species , which have each of their angles given , and the ratios of their sides given . IV . Points , lines , and spaces , are said to be given in position , which have always the same situation , and which are either actually exhibited ...
Side 388
... given : But as LM to MN , so is GH to HK ; wherefore the ratio of GH to HK is given . 39 . PROF . XLII See N. IF each of the sides of a triangle be given in magnitude , the triangle is given in species . 23. 1 . Let each of the sides of ...
... given : But as LM to MN , so is GH to HK ; wherefore the ratio of GH to HK is given . 39 . PROF . XLII See N. IF each of the sides of a triangle be given in magnitude , the triangle is given in species . 23. 1 . Let each of the sides of ...
Side 389
... given in position ; wherefore the point F is given : And the points D , E are given , therefore each of the straight lines DE , EF , FD is given in magnitude ; wherefore the tri - c angle DEF is given in species ; and it is similar to ...
... given in position ; wherefore the point F is given : And the points D , E are given , therefore each of the straight lines DE , EF , FD is given in magnitude ; wherefore the tri - c angle DEF is given in species ; and it is similar to ...
Side 390
... given in species . Let the sides of the triangle ABC have given ratios to one another , the triangle ABC is given in species . a A 2 Take a straight line D given in magnitude ; and because the ratio of AB to BC is given , make the ratio ...
... given in species . Let the sides of the triangle ABC have given ratios to one another , the triangle ABC is given in species . a A 2 Take a straight line D given in magnitude ; and because the ratio of AB to BC is given , make the ratio ...
Andre utgaver - Vis alle
The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Euclid Ingen forhåndsvisning tilgjengelig - 2016 |
The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2015 |
Vanlige uttrykk og setninger
ABCD altitude angle ABC angle BAC base BC BC is equal BC is given bisected Book XI centre circle ABC circumference common logarithm cone cylinder demonstrated described diameter drawn equal angles equiangular equimultiples Euclid ex æquali excess fore given angle given in magnitude given in position given in species given magnitude given ratio given straight line gnomon greater join less Let ABC logarithm multiple opposite parallel parallelogram perpendicular point F polygon prism proportionals proposition pyramid Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment sides BA similar sine solid angle solid parallelopipeds square of AC straight line AB straight line BC tangent THEOR tiple triangle ABC triplicate ratio vertex