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 |
Inni boken
Resultat 1-5 av 80
Side 315
... given the method of doing For this rea- fon , we have changed the conftruction to one , which , without doubt , is Euclid's , in which no- thing is required but to add a magnitude to itself a E certain number of times ; and this is to ...
... given the method of doing For this rea- fon , we have changed the conftruction to one , which , without doubt , is Euclid's , in which no- thing is required but to add a magnitude to itself a E certain number of times ; and this is to ...
Side 320
... given the demonftration of the 10th propofition as we now have it , instead of that which Eudoxus or Euclid had given , has been deceived in applying what is manifeft , when understood of magnitudes , unto ratios , viz . that a magnitude ...
... given the demonftration of the 10th propofition as we now have it , instead of that which Eudoxus or Euclid had given , has been deceived in applying what is manifeft , when understood of magnitudes , unto ratios , viz . that a magnitude ...
Side 338
... given straight line that shall be equal to a given rectangle , exceeding by a fquare . Let AB be the given ftraight ... magnitude of it being likewife given , to find its fides . And the 4th problem is the fame with this , To find a ...
... given straight line that shall be equal to a given rectangle , exceeding by a fquare . Let AB be the given ftraight ... magnitude of it being likewife given , to find its fides . And the 4th problem is the fame with this , To find a ...
Side 339
... given ftraight line AB produced , fo as to make the Book VI . rectangle AN , NB equal to a given fpace : Or , which is the in fame thing , having given AB the difference of the fides of a rectangle , and the magnitude of it , to find ...
... given ftraight line AB produced , fo as to make the Book VI . rectangle AN , NB equal to a given fpace : Or , which is the in fame thing , having given AB the difference of the fides of a rectangle , and the magnitude of it , to find ...
Side 341
... magnitude , that are neither fimilar nor equal , as shall be demonstrated ... Magnitudes that wholly coincide , are equal " to one another or from prop . A. of ... given no definition of e- qual figures , and it is certain he did not give ...
... magnitude , that are neither fimilar nor equal , as shall be demonstrated ... Magnitudes that wholly coincide , are equal " to one another or from prop . A. of ... given no definition of e- qual figures , and it is certain he did not give ...
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