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 120
... firft is to the fecond , as the third to the fourth . ' VII . When of the equimultiples of four magnitudes ( taken as in the fifth definition ) the multiple of the firft is greater than that of the fecond , but the multiple of the third ...
... firft is to the fecond , as the third to the fourth . ' VII . When of the equimultiples of four magnitudes ( taken as in the fifth definition ) the multiple of the firft is greater than that of the fecond , but the multiple of the third ...
Side 121
... firft is to the third , as the fecond to the fourth : As is fhewn in the 16th prop . of this 5th book . XIV . Invertendo , by inverfion : When there are four proportionals , and it is inferred , that the fecond is to the firft , as the ...
... firft is to the third , as the fecond to the fourth : As is fhewn in the 16th prop . of this 5th book . XIV . Invertendo , by inverfion : When there are four proportionals , and it is inferred , that the fecond is to the firft , as the ...
Side 126
... firft and third fhall have the fame ratio to any equimultiples of the fecond and fourth , viz . the equimultiple of the firft fhall have the fame ratio to that of the fecond , which the equi- multiple of the third has to that of the ...
... firft and third fhall have the fame ratio to any equimultiples of the fecond and fourth , viz . the equimultiple of the firft fhall have the fame ratio to that of the fecond , which the equi- multiple of the third has to that of 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