The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth of EuclidCassell, Petter, and Galpin, 1859 - 212 sider |
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Resultat 1-3 av 48
Side 104
... taken , -viz . , K and L ; and of B and D certain equimultiples G and H. Therefore , if K be greater than G , L is ... taken from the first is of a part taken from the other ; the first remainder is the same mul- tiple of the second ...
... taken , -viz . , K and L ; and of B and D certain equimultiples G and H. Therefore , if K be greater than G , L is ... taken from the first is of a part taken from the other ; the first remainder is the same mul- tiple of the second ...
Side 118
... taken two and two , have the same ratio . Therefore , by the foregoing case , A is to C , as E is to G. But C is to D , as G is to H. Therefore again , by the first case , A is to D , as E is to H ; and so on , what- ever be the number ...
... taken two and two , have the same ratio . Therefore , by the foregoing case , A is to C , as E is to G. But C is to D , as G is to H. Therefore again , by the first case , A is to D , as E is to H ; and so on , what- ever be the number ...
Side 190
... taken more than its half , and from the remainder more than its half ; and so on : there will at length remain a magnitude less than the least of the proposed magnitudes . Let A B and C be two unequal magnitudes , of the same kind , of ...
... taken more than its half , and from the remainder more than its half ; and so on : there will at length remain a magnitude less than the least of the proposed magnitudes . Let A B and C be two unequal magnitudes , of the same kind , of ...
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The Elements of Geometry. The First Six Books, with the Eleventh and Twelfth ... Euclid Uten tilgangsbegrensning - 1855 |
Vanlige uttrykk og setninger
A B and CD A B C D A B is equal adjacent angles altitude angle ABC angle B A C base B C bisected Cassell's centre circle A B C circle ABCD circumference cone cylinder D E F described diagonal diameter draw equal angles equal Ax equal Const equiangular equimultiples Euclid exterior angle given rectilineal given straight line gnomon greater homologous Illustrated inscribed join less Let A B C multiple opposite angles parallelopiped pentagon perpendicular polygon prism proposition pyramid Q. E. D. PROP rectangle contained rectilineal figure remaining angle right angles segment solid angle sphere squares of AC straight line drawn straight lines A B THEOREM three plane angles touches the circle triangle A B C triplicate ratio twice the rectangle vertex Wherefore