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 61
... shown that FD is greater than CD . Therefore , D A is the greatest ; DE is greater than D F , and DF greater than D C. Because M K and KD are greater than MD ( I. 20 ) and MK is equal ( I. Def . 15 ) to MG . Therefore the remainder KD ...
... shown that FD is greater than CD . Therefore , D A is the greatest ; DE is greater than D F , and DF greater than D C. Because M K and KD are greater than MD ( I. 20 ) and MK is equal ( I. Def . 15 ) to MG . Therefore the remainder KD ...
Seite 114
... shown , that L M is greater than NP . Therefore , if K O be not greater than K H , GH , the multiple of A B , is ... shown , NP HO L N M P G K A E B C F D is greater than N M. Because the whole G H is the same multiple of the whole AB ...
... shown , that L M is greater than NP . Therefore , if K O be not greater than K H , GH , the multiple of A B , is ... shown , NP HO L N M P G K A E B C F D is greater than N M. Because the whole G H is the same multiple of the whole AB ...
Seite 211
... shown that the point I is the centre of a circle described about SOPT ; and that OS is greater than PT . But PT was shown to be parallel to OS ; and because the two trapeziums KBOS and SOPT inscribed in circles have their sides BK and ...
... shown that the point I is the centre of a circle described about SOPT ; and that OS is greater than PT . But PT was shown to be parallel to OS ; and because the two trapeziums KBOS and SOPT inscribed in circles have their sides BK and ...
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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