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 128
... angle ABC equal to the angle DC E , and the angle A C B to the angle DEC ; and consequently the angle B A C equal to the angle C D E ( I. 32 ) . The sides about the equal angles of the tri- angles A B C and D C E are proportionals ; and ...
... angle ABC equal to the angle DC E , and the angle A C B to the angle DEC ; and consequently the angle B A C equal to the angle C D E ( I. 32 ) . The sides about the equal angles of the tri- angles A B C and D C E are proportionals ; and ...
Σελίδα 171
... angle at B by the three plane angles F B G , FB H , and H BG ; and let the angle CAD be equal to the angle F B G , the angle C AE to the angle FBH , and the angle E AD to the angle HBG . The planes in which the equal angles are have the ...
... angle at B by the three plane angles F B G , FB H , and H BG ; and let the angle CAD be equal to the angle F B G , the angle C AE to the angle FBH , and the angle E AD to the angle HBG . The planes in which the equal angles are have the ...
Σελίδα 185
... equal plane angles , there be drawn two straight lines elevated above the planes in which the angles are , and containing equal angles with the sides of those angles , each to each ; and if in the lines above the planes there be taken ...
... equal plane angles , there be drawn two straight lines elevated above the planes in which the angles are , and containing equal angles with the sides of those angles , each to each ; and if in the lines above the planes there be taken ...
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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