The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth of EuclidCassell, Petter, and Galpin, 1859 - 212 σελίδες |
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Σελίδα 42
... contained by the two straight lines , is equal to the rectangles contained by the undivided line , and the several parts of the divided line . Let A and B C be two straight lines ; and let BC be divided into several parts at the points ...
... contained by the two straight lines , is equal to the rectangles contained by the undivided line , and the several parts of the divided line . Let A and B C be two straight lines ; and let BC be divided into several parts at the points ...
Σελίδα 136
... contained by the extremes is equal to the rectangle contained by the means ; and conversely , if the rectangle contained by the extremes be equal to the rectangle contained by the means , the four straight lines are proportionals ...
... contained by the extremes is equal to the rectangle contained by the means ; and conversely , if the rectangle contained by the extremes be equal to the rectangle contained by the means , the four straight lines are proportionals ...
Σελίδα 137
... contained by the extremes is equal to the square of the mean ; and conversely , if the rectangle contained by the extremes be equal to the square of the mean , the three straight lines are proportionals . First , let the three straight ...
... contained by the extremes is equal to the square of the mean ; and conversely , if the rectangle contained by the extremes be equal to the square of the mean , the three straight lines are proportionals . First , let the three straight ...
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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