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 68
... perpendicular to D E. For , if F C be not perpendicular to DE ; from the point F draw FG perpendicular to DE and let it meet the circumference in B. B GE Because F G C is a right angle , GCF is an acute angle ( I. 17 ) . But in any ...
... perpendicular to D E. For , if F C be not perpendicular to DE ; from the point F draw FG perpendicular to DE and let it meet the circumference in B. B GE Because F G C is a right angle , GCF is an acute angle ( I. 17 ) . But in any ...
Σελίδα 163
... perpendicular to DE ( Const . ) . Therefore A F is perpendicular to each of the straight lines G H and D E. But if a straight line stand at right angles to each of two straight lines at the point of their intersection , it is also at ...
... perpendicular to DE ( Const . ) . Therefore A F is perpendicular to each of the straight lines G H and D E. But if a straight line stand at right angles to each of two straight lines at the point of their intersection , it is also at ...
Σελίδα 187
... perpendicular to another , a straight line drawn from a point in the one perpendicular to the other , meets their common section . Let the plane CD be perpendicular to the plane A B , and let A D be their common section ; if any point E ...
... perpendicular to another , a straight line drawn from a point in the one perpendicular to the other , meets their common section . Let the plane CD be perpendicular to the plane A B , and let A D be their common section ; if any point E ...
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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