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 307
... given the method of doing : For this rea- son , we have changed the construction to one , A which , without doubt , is Euclid's , in which no- thing is required but to add a magnitude to itself a certain number of times ; and this is to ...
... given the method of doing : For this rea- son , we have changed the construction to one , A which , without doubt , is Euclid's , in which no- thing is required but to add a magnitude to itself a certain number of times ; and this is to ...
Side 312
... given , has been deceived in applying what is manifest , when understood of That those things thagnitudes , unto ratios , viz . that a magnitude cannot be both greater and less than another . which are equal to the same are equal to one ...
... given , has been deceived in applying what is manifest , when understood of That those things thagnitudes , unto ratios , viz . that a magnitude cannot be both greater and less than another . which are equal to the same are equal to one ...
Side 330
... given rectangle , it is required to apply a rectangle to AB equal to C , D ... given straight line AB the rectangle AP has been applied equal to the given ... magnitude of it being likewise given , to find its sides . And the 4th ...
... given rectangle , it is required to apply a rectangle to AB equal to C , D ... given straight line AB the rectangle AP has been applied equal to the given ... magnitude of it being likewise given , to find its sides . And the 4th ...
Side 333
... magnitude , that are neither similar nor equal , as shall be demonstrated after the notes on the 10th definition : Upon this account it was necessary to amend the definition of similar solid figures , and so place the definition of a ...
... magnitude , that are neither similar nor equal , as shall be demonstrated after the notes on the 10th definition : Upon this account it was necessary to amend the definition of similar solid figures , and so place the definition of a ...
Side 336
... magnitude D which is less than A , B , C together , but greater than the excess of A above B and C : Then , B , C , D together are greater than A ; and because A is greater than either B or C , much more will A and D , together with ...
... magnitude D which is less than A , B , C together , but greater than the excess of A above B and C : Then , B , C , D together are greater than A ; and because A is greater than either B or C , much more will A and D , together with ...
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