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 200
... A B C D ; but it is also less , for the pyramid is contained within the cone , which is impossible . There- fore the ... A B C D inscribe a square ; this square is greater than the half of the circle . Upon the square ABCD erect a ...
... A B C D ; but it is also less , for the pyramid is contained within the cone , which is impossible . There- fore the ... A B C D inscribe a square ; this square is greater than the half of the circle . Upon the square ABCD erect a ...
Seite 207
... A B C D is to the base EFGH ; for the cylinders A X and ES are of the same altitude ; and the cylinder EO is to the ... A B C D is to the base E F G H as the altitude M N is to the altitude M P. But M P is equal to K L. Therefore the ...
... A B C D is to the base EFGH ; for the cylinders A X and ES are of the same altitude ; and the cylinder EO is to the ... A B C D is to the base E F G H as the altitude M N is to the altitude M P. But M P is equal to K L. Therefore the ...
Seite 208
... A B C D from the point L all round to N , there will be inscribed in the circle a polygon of an even number of equal sides not meeting the less circle . Q. E. F. LEMMA II . If two trapeziums A B C D and E F G H be inscribed in the ...
... A B C D from the point L all round to N , there will be inscribed in the circle a polygon of an even number of equal sides not meeting the less circle . Q. E. F. LEMMA II . If two trapeziums A B C D and E F G H be inscribed in the ...
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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