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 CorrectedT. Desilver and R. Desilver, 1825 - 516 sider |
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Side 8
Viz. the First Six Books, Together with the Eleventh and Twelfth. The Errors, by which ... given ; and by taking out of this Book , besides other things , the good ... magnitude . " Now this Proposition is a Theo- rem , not a Definition ...
Viz. the First Six Books, Together with the Eleventh and Twelfth. The Errors, by which ... given ; and by taking out of this Book , besides other things , the good ... magnitude . " Now this Proposition is a Theo- rem , not a Definition ...
Side 313
... given the method of doing . For this reason , we have A changed the construction to one , which , without doubt , is Euclid's , in which nothing is required but to add a magnitude to itself a certain number of times ; and this is to be ...
... given the method of doing . For this reason , we have A changed the construction to one , which , without doubt , is Euclid's , in which nothing is required but to add a magnitude to itself a certain number of times ; and this is to be ...
Side 318
... given the demonstration of the 10th proposition as we now have it , instead of that which Eudoxus or Euclid had given , has been deceived in applying what is manifest , when understood of magnitudes , unto ratios , viz . that a magnitude ...
... given the demonstration of the 10th proposition as we now have it , instead of that which Eudoxus or Euclid had given , has been deceived in applying what is manifest , when understood of magnitudes , unto ratios , viz . that a magnitude ...
Side 336
... given straight line AB the rectangle AP has been applied equal to the given rectangle C , D , exceeding by the ... magnitude of it being likewise given , to find its sides . And the fourth problem is the same with this . To find the ...
... given straight line AB the rectangle AP has been applied equal to the given rectangle C , D , exceeding by the ... magnitude of it being likewise given , to find its sides . And the fourth problem is the same with this . To find the ...
Side 339
... magnitude , that are neither similar nor equal , as shall be demonstrated ... Magnitudes that wholly coincide , are equal to one another : " or from prop . A. of ... given no definition of equal figures , and it is certain he did not give ...
... magnitude , that are neither similar nor equal , as shall be demonstrated ... Magnitudes that wholly coincide , are equal to one another : " or from prop . A. of ... given no definition of equal figures , and it is certain he did not give ...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Robert Simson,Euclid Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
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altitude angle ABC angle BAC base BC BC is equal BC is given bisected centre circle ABCD circumference cone cylinder demonstrated described diameter draw 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 meet multiple parallel parallelogram parallelogram AC perpendicular point F polygon prism proportionals proposition 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 third triangle ABC triplicate ratio vertex wherefore