The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth of EuclidCassell, Petter, and Galpin, 1859 - 212 σελίδες |
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Σελίδα 61
... shown that FD is greater than CD . Therefore , D A is the greatest ; DE is greater than D F , and D F 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 D F 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 ...
Σελίδα 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 H O 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 H O 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 ...
Σελίδα 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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A B and CD A B C D A B is equal adjacent angles altitude angle ABC 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 A B 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