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 A D.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 A D.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 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