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
... rectangle 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 ...
... rectangle 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 ...
Σελίδα 136
... rectangle 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 ...
... rectangle 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 ...
Σελίδα 137
... rectangle 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 ...
... rectangle 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 ...
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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