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 CorrectedDesilver & Thomas, 1834 - 419 sider |
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Side 95
... equimulti- ples whatsoever of the first and third being taken , and any equi- multiples whatsoever of the second and fourth ; if the multiple of the first be less than that of the second , the multiple of the third is also less than ...
... equimulti- ples whatsoever of the first and third being taken , and any equi- multiples whatsoever of the second and fourth ; if the multiple of the first be less than that of the second , the multiple of the third is also less than ...
Side 96
... equimultiples of four magnitudes ( taken as in the fifth definition ) the multiple of the first is greater than that of the second , but the multiple of the third is not greater than the multiple of the fourth ; then the first is said ...
... equimultiples of four magnitudes ( taken as in the fifth definition ) the multiple of the first is greater than that of the second , but the multiple of the third is not greater than the multiple of the fourth ; then the first is said ...
Side 98
... equimultiples , are equal to one another . III . A multiple of a greater magnitude is greater than the same mul ... equimultiples of as many , each of each ; what multiple soever any one of them is of its part , the same multiple shall ...
... equimultiples , are equal to one another . III . A multiple of a greater magnitude is greater than the same mul ... equimultiples of as many , each of each ; what multiple soever any one of them is of its part , the same multiple shall ...
Side 99
... equimulti- ples of as many , each of each , whatsoever multiple any one of them is of its part , the same multiple shall all the first magni- tudes be of all the other : For the same demonstration holds in any number of magnitudes ...
... equimulti- ples of as many , each of each , whatsoever multiple any one of them is of its part , the same multiple shall all the first magni- tudes be of all the other : For the same demonstration holds in any number of magnitudes ...
Side 100
... equimultiples , these shall be equimulti- ples , the one of the second , and the other of the fourth . Let A the first , be the same multiple of B the second , that C the third is of D the fourth ; and of A , C let the equimultiples EF ...
... equimultiples , these shall be equimulti- ples , the one of the second , and the other of the fourth . Let A the first , be the same multiple of B the second , that C the third is of D the fourth ; and of A , C let the equimultiples EF ...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Robert Simson,Euclid Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
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altitude angle ABC angle BAC base BC BC is equal BC is given bisected centre circle ABCD circumference cone cylinder demonstrated described diameter draw drawn equal angles equiangular equimultiples Euclid ex æquali excess fore given angle given in magnitude given in position given in species given magnitude given point given ratio given straight line gnomon greater join less Let ABC multiple opposite parallel parallelogram parallelogram AC perpendicular point F polygon prism proportionals proposition pyramid Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure right angles segment sides BA similar sine solid angle solid parallelopipeds square of AC straight line AB straight line BC tangent THEOR third tiple triangle ABC triplicate ratio vertex wherefore