The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth of EuclidCassell, Petter, and Galpin, 1859 - 212 Seiten |
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Seite 98
... magnitudes is meant that each magnitude is taken or repeated the same number of times . Now , by taking equimultiples of the first and third of the supposed magnitudes , and equimultiples of the second and fourth of the same magnitudes ...
... magnitudes is meant that each magnitude is taken or repeated the same number of times . Now , by taking equimultiples of the first and third of the supposed magnitudes , and equimultiples of the second and fourth of the same magnitudes ...
Seite 101
... magnitudes , of which the same or equal magnitudes are equi- multiples , are equal to one another . This axiom means that equi - submultiples of the same or of equal magnitudes , are equal . III . A multiple of a greater magnitude is ...
... magnitudes , of which the same or equal magnitudes are equi- multiples , are equal to one another . This axiom means that equi - submultiples of the same or of equal magnitudes , are equal . III . A multiple of a greater magnitude is ...
Seite 112
... Magnitudes have the same ratio to one another which their equimultiples have . Let A B be the same multiple of C , that D E is of F. C is to F , as A B is to DE . Divide A B into magnitudes , each equal to C , viz . , A G , G H , and HB ...
... Magnitudes have the same ratio to one another which their equimultiples have . Let A B be the same multiple of C , that D E is of F. C is to F , as A B is to DE . Divide A B into magnitudes , each equal to C , viz . , A G , G H , and HB ...
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Häufige Begriffe und Wortgruppen
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