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 CorrE. Wingrove, London, and J. Balfour, Edinburgh, 1793 - 520 páginas |
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Resultados 1-5 de 6
Página 389
... given point in a given in angle with it ; that straight line is given in pofition . Let AB be a straight line given ... position . Because the angle is given , one equal to it can be found a ; let this be the angle at D , at the gi- ven ...
... given point in a given in angle with it ; that straight line is given in pofition . Let AB be a straight line given ... position . Because the angle is given , one equal to it can be found a ; let this be the angle at D , at the gi- ven ...
Página 394
... given point A , let the straight line AED be drawn to the two parallel ftraight lines FG , BC , and let the ratio of ... position . d 2. dat . e 30. dat . f 31. dat . 37.38 . See N. IF PROP . XL . E F the ratio of the fegments of a straight ...
... given point A , let the straight line AED be drawn to the two parallel ftraight lines FG , BC , and let the ratio of ... position . d 2. dat . e 30. dat . f 31. dat . 37.38 . See N. IF PROP . XL . E F the ratio of the fegments of a straight ...
Página 395
... given ; the third parallel HK is given in pofition . In AB take a given point L , and draw LM perpendicular to CD ... position g . PROP . XLI . IF meets Cor . 6. or ( 7 dat . e 2. dat . f 30. dat . g 31. dat . F. a ftraight line meets three ...
... given ; the third parallel HK is given in pofition . In AB take a given point L , and draw LM perpendicular to CD ... position g . PROP . XLI . IF meets Cor . 6. or ( 7 dat . e 2. dat . f 30. dat . g 31. dat . F. a ftraight line meets three ...
Página 455
... given in position in the given angle BDC , C DC is given in pofition : And the circumference ABC is gi- c 32. dat . ven in pofition , therefore the point C is given . d 28. dat . I PROP . XCIV . from a given point a straight line be ...
... given in position in the given angle BDC , C DC is given in pofition : And the circumference ABC is gi- c 32. dat . ven in pofition , therefore the point C is given . d 28. dat . I PROP . XCIV . from a given point a straight line be ...
Página 460
... given , therefore HF is given in E A B DH C CF DB H G E G magnitude ; and it is also given in pofition , and the ... position , of which G is the centre ; join CG , and from the point D let DF be drawn making the angle CDF equal to the ...
... given , therefore HF is given in E A B DH C CF DB H G E G magnitude ; and it is also given in pofition , and the ... position , of which G is the centre ; join CG , and from the point D let DF be drawn making the angle CDF equal to the ...
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Otras ediciones - Ver todas
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Vista de fragmentos - 1803 |
Términos y frases comunes
alfo alſo angle ABC angle BAC bafe baſe BC is equal BC is given becauſe the angle becauſe the ratio bifected Book XI cafe centre circle ABCD circumference cone confequently conftruction cylinder defcribed demonftrated diameter drawn EFGH equal angles equiangular equimultiples Euclid excefs faid fame multiple fame ratio fecond fegment fhall fide BC fides fimilar firft firſt folid angle fome fore 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 muſt oppofite parallel parallelepiped parallelogram perpendicular plane angles PROP propofition proportionals pyramid rectangle contained rectilineal figure right angles ſame ſhall ſphere ſquare THEOR theſe tiple triangle ABC wherefore