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 45
... bisected , is equal to the square of the straight line which is made up of the half and the part produced . Let the straight line A B be bisected at C , and produced to the point D. The rectangle AD.D B , together with the square of CB ...
... bisected , is equal to the square of the straight line which is made up of the half and the part produced . Let the straight line A B be bisected at C , and produced to the point D. The rectangle AD.D B , together with the square of CB ...
Seite 126
... bisected by a straight line which also cuts the base , the segments of the base have the same ratio to one another which the adjacent sides of the triangle have ; and conversely , if the segments of the base have the same ratio to one ...
... bisected by a straight line which also cuts the base , the segments of the base have the same ratio to one another which the adjacent sides of the triangle have ; and conversely , if the segments of the base have the same ratio to one ...
Seite 127
... bisected by a straight line which cuts the base produced , the segments between the bisecting line and the extremities of the base , have to one another the same ratio which the adjacent sides of the triangle have ; and conversely , if ...
... bisected by a straight line which cuts the base produced , the segments between the bisecting line and the extremities of the base , have to one another the same ratio which the adjacent sides of the triangle have ; and conversely , if ...
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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