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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Página 32
... first let thofe fides be equal which are adjacent to the angles that are e- qual in the two tri- A angles ; viz . BC to EF ; the other fides fhall be equal , each to each , viz . AB to DE , and AC to DF ; and the third angle BAC to the ...
... first let thofe fides be equal which are adjacent to the angles that are e- qual in the two tri- A angles ; viz . BC to EF ; the other fides fhall be equal , each to each , viz . AB to DE , and AC to DF ; and the third angle BAC to the ...
Página 78
... first on the infide , in the points a 10. 11. 1. B , D ; join BD , and draw a GH bifecting BD at right angles : Therefore , because the points B , D are in the circumference of A B E G H B F D C H A E F C G b 2.3 . each of the circles ...
... first on the infide , in the points a 10. 11. 1. B , D ; join BD , and draw a GH bifecting BD at right angles : Therefore , because the points B , D are in the circumference of A B E G H B F D C H A E F C G b 2.3 . each of the circles ...
Página 85
... First , let E the centre of the circle be within the angle BAC , and join AË , and produce it to F : Because EA is equal to EB , the angle EAB is equal to the an- gle EBA ; therefore the angles EAB , EBA are double of the angle EAB ...
... First , let E the centre of the circle be within the angle BAC , and join AË , and produce it to F : Because EA is equal to EB , the angle EAB is equal to the an- gle EBA ; therefore the angles EAB , EBA are double of the angle EAB ...
Página 95
Viz. The First Six Books, Together with the Eleventh and Twelfth. The Errors, by which Theon, Or Others, Have Long Ago ... First , let the angle at C be a right angle , and bifecta AB in F , and from the centre F , at the distance FB ...
Viz. The First Six Books, Together with the Eleventh and Twelfth. The Errors, by which Theon, Or Others, Have Long Ago ... First , let the angle at C be a right angle , and bifecta AB in F , and from the centre F , at the distance FB ...
Página 119
... first of four magnitudes is faid to have the same ratio to the the fecond , which the third has to the fourth , when any equimultiples whatsoever of the first and third being taken , and any equimultiples whatsoever of the fecond and ...
... first of four magnitudes is faid to have the same ratio to the the fecond , which the third has to the fourth , when any equimultiples whatsoever of the first and third being taken , and any equimultiples whatsoever of the fecond and ...
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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