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 sider |
Inni boken
Resultat 6-10 av 100
Side 32
... fore the angle BAC B D C E F is not less than the angle EDF ; and it was fhewn that it is not equal to it ; therefore the angle BAC is greater than the angle EDF . Wherefore , if two triangles , & c . Q. E. D. I PROP . XXVI . THEOR . F ...
... fore the angle BAC B D C E F is not less than the angle EDF ; and it was fhewn that it is not equal to it ; therefore the angle BAC is greater than the angle EDF . Wherefore , if two triangles , & c . Q. E. D. I PROP . XXVI . THEOR . F ...
Side 34
... fore AB and CD being pro- duced do not meet towards B , D. In like manner it may be demonftrated that C they do not meet towards A , C ; but those straight lines A E B G F D which meet neither way , though produced ever so far , are pa ...
... fore AB and CD being pro- duced do not meet towards B , D. In like manner it may be demonftrated that C they do not meet towards A , C ; but those straight lines A E B G F D which meet neither way , though produced ever so far , are pa ...
Side 36
... fore alfo AGK is equal to GKD ; and they are alternate angles ; C G B H F K D b 27. 1. therefore AB is parallel to CD . Wherefore ftraight lines , & c . Q. E. D. T PROP . XXXI . PROB . draw a fraight line through a given point pa ...
... fore alfo AGK is equal to GKD ; and they are alternate angles ; C G B H F K D b 27. 1. therefore AB is parallel to CD . Wherefore ftraight lines , & c . Q. E. D. T PROP . XXXI . PROB . draw a fraight line through a given point pa ...
Side 50
... fore the angle DAC is equal to the angle BAC : But DAC is a right angle ; therefore also BAC is a right angle . There fore , if the fquare , & c . Q. E. D. THE THE ELEMENT S OF EUCLI D. воок II . DEFINITIONS 150 THE ELEMENTS.
... fore the angle DAC is equal to the angle BAC : But DAC is a right angle ; therefore also BAC is a right angle . There fore , if the fquare , & c . Q. E. D. THE THE ELEMENT S OF EUCLI D. воок II . DEFINITIONS 150 THE ELEMENTS.
Side 53
... fore a straight line , & c . Q. E. D. IF PROP . III . THEOR . F a ftraight line be divided into any two parts , the rectangle contained by the whole and one of the parts , is equal to the rectangle contained by the two parts , together ...
... fore a straight line , & c . Q. E. D. IF PROP . III . THEOR . F a ftraight line be divided into any two parts , the rectangle contained by the whole and one of the parts , is equal to the rectangle contained by the two parts , together ...
Andre utgaver - Vis alle
The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1781 |
Vanlige uttrykk og setninger
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