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 |
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Resultat 1-3 av 55
Side 256
... circle ABCD is to the space S : There- fore as the circle ABCD is to the fpace S , fo is the polygon AXBOCPDR to the polygon EKFLGMHN : But the circle ABCD is greater than the polygon contained in it ; wherefore the space S is greater ...
... circle ABCD is to the space S : There- fore as the circle ABCD is to the fpace S , fo is the polygon AXBOCPDR to the polygon EKFLGMHN : But the circle ABCD is greater than the polygon contained in it ; wherefore the space S is greater ...
Side 257
... circle ABCD to any Ipace Elefs than the circle EFGH : Wherefore , as the fquare of BD to the fquare of FH , fo is the circle ABCD to the circle EFGH ‡ . = Circles therefore are , & c . Q. E. D. PROP . III . THEOR . VERY pyramid having a ...
... circle ABCD to any Ipace Elefs than the circle EFGH : Wherefore , as the fquare of BD to the fquare of FH , fo is the circle ABCD to the circle EFGH ‡ . = Circles therefore are , & c . Q. E. D. PROP . III . THEOR . VERY pyramid having a ...
Side 275
... circle ABCD is not to the circle Book XII . EFGH , as the cone AL to any folid which is less than the cone EN . In the fame manner it may be demonftrated that the circle EFGH is not to the circle ABCD , as the cone EN folid lefs than ...
... circle ABCD is not to the circle Book XII . EFGH , as the cone AL to any folid which is less than the cone EN . In the fame manner it may be demonftrated that the circle EFGH is not to the circle ABCD , as the cone EN folid lefs than ...
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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