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 |
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Resultat 6-10 av 53
Side 56
... rectangle contained by the whole line thus produced , and the part of it produced , together with the fquare of half the line bifested , is equal to the fquare of the ftraight line which is made up of the half and the part produced ...
... rectangle contained by the whole line thus produced , and the part of it produced , together with the fquare of half the line bifested , is equal to the fquare of the ftraight line which is made up of the half and the part produced ...
Side 57
... rectangle AB , BC together with the fquare of AC . Upon AB defcribe a the ... contained by the whole line , and one of the parts , together with the ... rectangle AB , BC , together with the fquare of AC , is equal to the fquare of the ...
... rectangle AB , BC together with the fquare of AC . Upon AB defcribe a the ... contained by the whole line , and one of the parts , together with the ... rectangle AB , BC , together with the fquare of AC , is equal to the fquare of the ...
Side 58
... rectangle CK is equal b to BN , and GR to RN : But CK is equal to RN , because they are the complements of the ... contained by AB , BC , for BK is equal to BC , four times the rectangle AB , BC is quadruple of AK : But the gnomon AOH ...
... rectangle CK is equal b to BN , and GR to RN : But CK is equal to RN , because they are the complements of the ... contained by AB , BC , for BK is equal to BC , four times the rectangle AB , BC is quadruple of AK : But the gnomon AOH ...
Side 62
... rectangle contained by the whole , and one of the parts , fhall be equal to the square of the other part . Let AB be the given straight line ; it is required to divide it into two parts , so that the rectangle contained by the whole ...
... rectangle contained by the whole , and one of the parts , fhall be equal to the square of the other part . Let AB be the given straight line ; it is required to divide it into two parts , so that the rectangle contained by the whole ...
Side 64
... triangle , the fquare of the fide fubtending any of the acute angles , is lefs than the fquares of the fides containing that angle , by twice the rectangle contained by either of thefe fides , and the ftraight line intercepted between ...
... triangle , the fquare of the fide fubtending any of the acute angles , is lefs than the fquares of the fides containing that angle , by twice the rectangle contained by either of thefe fides , and the ftraight line intercepted between ...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1781 |
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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