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 21
... Take any point D in AB , and from AC cut a off AE equal to a 3. 1 . AD ; join DE , and upon it defcribe b an equilateral triangle DEF ; then join AF ; the straight line AF bifects the angle BAC . Because AD is equal to AE , and AF is ...
... Take any point D in AB , and from AC cut a off AE equal to a 3. 1 . AD ; join DE , and upon it defcribe b an equilateral triangle DEF ; then join AF ; the straight line AF bifects the angle BAC . Because AD is equal to AE , and AF is ...
Página 22
... Take any point D in AC , and a make CE equal to CD , and upon DE defcribe b the equi- lateral triangle DFE , and join FC ; the ftraight line FC drawn from the given point C is at right angles to the given ftraight line AB . с A D F C ...
... Take any point D in AC , and a make CE equal to CD , and upon DE defcribe b the equi- lateral triangle DFE , and join FC ; the ftraight line FC drawn from the given point C is at right angles to the given ftraight line AB . с A D F C ...
Página 23
... Take any point D upon the other fide of AB , and from the centre C , at the diftance CD , describe b the C s H circle EGF meeting AB in F A F G ; and bifect , FG in H. D Book I. a 10. Def . I. E ' b 3. Poft . B and join CF , CH , CG ...
... Take any point D upon the other fide of AB , and from the centre C , at the diftance CD , describe b the C s H circle EGF meeting AB in F A F G ; and bifect , FG in H. D Book I. a 10. Def . I. E ' b 3. Poft . B and join CF , CH , CG ...
Página 25
... Take away the common angle ABC , the remaining angle ABE is equal b to the remaining angle b 3. A ABD , the less to the greater , which is impoffible ; therefore BE is nct in the fame ftraight line with BC . And , in like manner , it ...
... Take away the common angle ABC , the remaining angle ABE is equal b to the remaining angle b 3. A ABD , the less to the greater , which is impoffible ; therefore BE is nct in the fame ftraight line with BC . And , in like manner , it ...
Página 29
... Take a ftraight line DE terminated at the point D , but un- limited towards E , and a 20. I. make a DF equal to A , FG to B , and GH equal to C ; and from the cen- tre F , at the distance , FD , defcribe bthe circle D DKL ; and from the ...
... Take a ftraight line DE terminated at the point D , but un- limited towards E , and a 20. I. make a DF equal to A , FG to B , and GH equal to C ; and from the cen- tre F , at the distance , FD , defcribe bthe circle D DKL ; and from 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