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 A B 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 ...
... produce A B , so that of the two parallelograms of the same altitude described on the whole of A B 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 ...
Seite 148
... produced to O as re- quired ( IV . 26 ) . G M E B O N P X Because GH is equal to EL and C together , and G H is ... 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 ) . G M E B O N P X Because GH is equal to EL and C together , and G H is ... 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 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