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 CorrectedCuthell & Martin, London, 1803 - 520 sider |
Inni boken
Resultat 1-3 av 98
Side 33
... equal to the angle DEF ; therefore the bafe a GC is equal to the bafe DF , and the triangle GBC to the tri - a 4. 1 . angle DEF , and the other angles to the other angles , each to each , to which the equal fides are oppofite ...
... equal to the angle DEF ; therefore the bafe a GC is equal to the bafe DF , and the triangle GBC to the tri - a 4. 1 . angle DEF , and the other angles to the other angles , each to each , to which the equal fides are oppofite ...
Side 227
... equal to the folid angle at D contained by the three plane angles EDC , EDF , FDC . Take the equal straight lines AB , DE , and join HB , KB , FE , GE And becaufe FG is perpendicular to the plane EDC , e e it makes right angles with ...
... equal to the folid angle at D contained by the three plane angles EDC , EDF , FDC . Take the equal straight lines AB , DE , and join HB , KB , FE , GE And becaufe FG is perpendicular to the plane EDC , e e it makes right angles with ...
Side 244
... equal angles in each , viz . HA equal to DM ; therefore the remaining fides are equal e , each to each : Wherefore AB is equal to DE . In the fame manner , if HC and MF be joined , it may be demon- strated that AC is equal to DF ...
... equal angles in each , viz . HA equal to DM ; therefore the remaining fides are equal e , each to each : Wherefore AB is equal to DE . In the fame manner , if HC and MF be joined , it may be demon- strated that AC is equal to DF ...
Andre utgaver - Vis alle
The Elements of Euclid: Viz. The First Six Books, Together with the Eleventh ... Euclid Uten tilgangsbegrensning - 1793 |
The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1781 |
Vanlige uttrykk og setninger
AC is equal alfo alſo angle ABC angle BAC bafe baſe BC is given becauſe the angle becauſe the ratio bifected Book XI cafe centre circle ABCD circumference cone cylinder defcribed demonftrated drawn EFGH equal angles equiangular equimultiples Euclid excefs faid fame manner fame multiple fame ratio fame reafon 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 parallelepipeds parallelogram perpendicular prifm PROP propofition proportionals pyramid rectangle contained rectilineal figure right angles ſhall ſphere ſquare thefe THEOR theſe tiple triangle ABC wherefore