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 O F Euclid's Data in Like Manner CorrectedF. Wingrave, 1809 - 531 sider |
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Side 111
... multiple of a less , when the greater is measured by the less ; that is , when the greater contains the less a ... multiple of the first be less than that of the second , the multiple of the third is also less than that of the fourth or ...
... multiple of a less , when the greater is measured by the less ; that is , when the greater contains the less a ... multiple of the first be less than that of the second , the multiple of the third is also less than that of the fourth or ...
Side 112
... 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 to have to the second a greater ratio than the third magnitude has to 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 to have to the second a greater ratio than the third magnitude has to the ...
Side 115
... multiple of a greater magnitude is greater than the same multiple of a less . IV . That magnitude of which a multiple is greater than the same multiple of another , is greater than that other magnitude . Book Y. PROP . I. THEOR . IF any ...
... multiple of a greater magnitude is greater than the same multiple of a less . IV . That magnitude of which a multiple is greater than the same multiple of another , is greater than that other magnitude . Book Y. PROP . I. THEOR . IF any ...
Side 116
... multiple of the second that the third is of the fourth , and the fifth the same multiple of the second that the sixth is of the fourth ; then shall the first together with the fifth be the same multiple of the second , that the third ...
... multiple of the second that the third is of the fourth , and the fifth the same multiple of the second that the sixth is of the fourth ; then shall the first together with the fifth be the same multiple of the second , that the third ...
Side 117
... multiple of B the second , that C the third is of D the fourth ; and of A , C , let the equimul- tiples EF , GH be taken : Then EF is the same multiple of B , that GH is of D. Because EF is the same multiple of A , that GH is of C ...
... multiple of B the second , that C the third is of D the fourth ; and of A , C , let the equimul- tiples EF , GH be taken : Then EF is the same multiple of B , that GH is of D. Because EF is the same multiple of A , that GH is of C ...
Andre utgaver - Vis alle
The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Euclid Ingen forhåndsvisning tilgjengelig - 2016 |
The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2015 |
Vanlige uttrykk og setninger
ABCD altitude angle ABC angle BAC base BC BC is equal BC is given bisected Book XI centre circle ABC circumference common logarithm cone cylinder demonstrated described diameter drawn equal angles equiangular equimultiples Euclid ex æquali excess fore given angle given in magnitude given in position given in species given magnitude given ratio given straight line gnomon greater join less Let ABC logarithm multiple opposite parallel parallelogram perpendicular point F polygon prism proportionals proposition pyramid Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment sides BA similar sine solid angle solid parallelopipeds square of AC straight line AB straight line BC tangent THEOR tiple triangle ABC triplicate ratio vertex