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 |
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Side 396
... given : But as LM to MN , fo is GH to HK ; wherefore the ratio of GH to HK is given . 39 . See N. 22. I. b 8. I. CI ... species . Take a ftraight line DE given in pofition and magnitude , and at the points D , E make the angle EDF equal ...
... given : But as LM to MN , fo is GH to HK ; wherefore the ratio of GH to HK is given . 39 . See N. 22. I. b 8. I. CI ... species . Take a ftraight line DE given in pofition and magnitude , and at the points D , E make the angle EDF equal ...
Side 397
... given : And because the ftraight line FD is drawn to the given point D in DE which is given in pofition , making the ... species . 4. 6 . 1. def . 41 . 6 . D a 32. dat . Take a ftraight line DE given in pofition and magnitude , and at ...
... given : And because the ftraight line FD is drawn to the given point D in DE which is given in pofition , making the ... species . 4. 6 . 1. def . 41 . 6 . D a 32. dat . Take a ftraight line DE given in pofition and magnitude , and at ...
Side 398
... given fa- tios ; the triangle is given in fpecies . Let the fides of the triangle ABC have given ratios to one another , the triangle ABC is given in species . A Take a ftraight line D given in magnitude ; and because the ratio of AB to BC ...
... given fa- tios ; the triangle is given in fpecies . Let the fides of the triangle ABC have given ratios to one another , the triangle ABC is given in species . A Take a ftraight line D given in magnitude ; and because the ratio of AB to BC ...
Side 399
... given in species . Let the fides AB , BC about the acute angle ABC of the tri- angle ABC , which has a right angle at A , have a given ratio to one another ; the triangle ABC is given in fpecies . 43 . Take a ftraight line DE given in ...
... given in species . Let the fides AB , BC about the acute angle ABC of the tri- angle ABC , which has a right angle at A , have a given ratio to one another ; the triangle ABC is given in fpecies . 43 . Take a ftraight line DE given in ...
Side 402
... given in fpecies ; therefore al- E fo the triangles ABC , ABL are given in H C F fpecies . And from this it is ... species . A triangle which fhall have the things that are mentioned in the propofition to be given , can be found in the ...
... given in fpecies ; therefore al- E fo the triangles ABC , ABL are given in H C F fpecies . And from this it is ... species . A triangle which fhall have the things that are mentioned in the propofition to be given , can be found in the ...
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The Elements of Euclid: Viz. The First Six Books, Together with the Eleventh ... Euclid Uten tilgangsbegrensning - 1793 |
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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