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 32
Side 63
... BC , CD : To each of thefe equals add the fquare of DA ; and the fquares of DB , DA are equal to the squares of BC , CD , DA , and twice the rectangle BC , CD : But the fquare of BA is equal c to the fquares of BD , DA , be- cause . the ...
... BC , CD : To each of thefe equals add the fquare of DA ; and the fquares of DB , DA are equal to the squares of BC , CD , DA , and twice the rectangle BC , CD : But the fquare of BA is equal c to the fquares of BD , DA , be- cause . the ...
Side 444
... BC is given . And AB is given , therefore AB , BC are each of them given . PRO P. LXXXVI . LXX F two ftraight lines ... square of the greater above the fquare of the leffer be given , each of the ftraight lines fhall be given . Let the two ...
... BC is given . And AB is given , therefore AB , BC are each of them given . PRO P. LXXXVI . LXX F two ftraight lines ... square of the greater above the fquare of the leffer be given , each of the ftraight lines fhall be given . Let the two ...
Side 474
... square of ML is equal to four times the fquare of FE and to the square of GL : And becaufe the fquare of ML is to the fquare of GL , as the fquare of the straight line made up of BC and CD is to the fquare of BD , therefore ( 22. 6 ...
... square of ML is equal to four times the fquare of FE and to the square of GL : And becaufe the fquare of ML is to the fquare of GL , as the fquare of the straight line made up of BC and CD is to the fquare of BD , therefore ( 22. 6 ...
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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