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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Side 122
... second of the first rank , as the first to the fecond of the other rank ; and as the fe- cond is to the third of the first rank , fo is the second to the third of the other ; and fo on in order , and the inference is as mentioned in the ...
... second of the first rank , as the first to the fecond of the other rank ; and as the fe- cond is to the third of the first rank , fo is the second to the third of the other ; and fo on in order , and the inference is as mentioned in the ...
Side 323
... second B. " And after two propofitions premised as Lemmas , he proceeds thus : " Either among all the poffible equimultiples of the first " A , and of the third C , and , at the fame time , among all " the poffible equimultiples of the ...
... second B. " And after two propofitions premised as Lemmas , he proceeds thus : " Either among all the poffible equimultiples of the first " A , and of the third C , and , at the fame time , among all " the poffible equimultiples of the ...
Side 332
... second B to the third or laft C , which are the fame with one another ; and the triplicate ratio of the first to the second is a name or expreffion by which the ratio of the first A to the fourth D is fignified , and by which , at the ...
... second B to the third or laft C , which are the fame with one another ; and the triplicate ratio of the first to the second is a name or expreffion by which the ratio of the first A to the fourth D is fignified , and by which , at the ...
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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