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 49
... produced , and of the part of it produced , are together double of the square of half the line bisected , and of the square of the line made up of the half and the part produced . Let the straight line A B be bisected in C , and ...
... produced , and of the part of it produced , are together double of the square of half the line bisected , and of the square of the line made up of the half and the part produced . Let the straight line A B be bisected in C , and ...
Seite 147
... produce A B , so that of the two parallelograms of the same altitude described on the whole of AB produced and on the part produced , the one on the part produced may be similar to D , and the other on the whole produced may be equal to ...
... produce A B , so that of the two parallelograms of the same altitude described on the whole of AB produced and on the part produced , the one on the part produced may be similar to D , and the other on the whole produced may be equal to ...
Seite 148
... produced to O as re- quired ( IV . 26 ) . L M E B N P Because A E is equal to Because G H is equal to EL and C ... produced , so that of the two parallelograms A X and PO , of the same altitude described on the whole AO thus produced ...
... produced to O as re- quired ( IV . 26 ) . L M E B N P Because A E is equal to Because G H is equal to EL and C ... produced , so that of the two parallelograms A X and PO , of the same altitude described on the whole AO thus produced ...
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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 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