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 11
... vertex of each triangle be without the other triangle . Because AC is equal ( Hyp . ) to AD in the triangle A CD , the angle ACD is equal ( I. 5 ) to the angle ADC . But the angle ACD is greater ( Ax . 9 ) than the angle BCD . Therefore ...
... vertex of each triangle be without the other triangle . Because AC is equal ( Hyp . ) to AD in the triangle A CD , the angle ACD is equal ( I. 5 ) to the angle ADC . But the angle ACD is greater ( Ax . 9 ) than the angle BCD . Therefore ...
Seite 189
... vertex ; and , a cone is said to be described about a pyramid , when its base is described about the base of the pyramid , and both solids have a common vertex . II . A cone is said to be inscribed in a pyramid , when its base is ...
... vertex ; and , a cone is said to be described about a pyramid , when its base is described about the base of the pyramid , and both solids have a common vertex . II . A cone is said to be inscribed in a pyramid , when its base is ...
Seite 203
... vertex the point L , has to the cone whose base is the circle E F G H and vertex N , the triplicate ratio of that which AC has to E G. A T N R K E G M B Ꮓ F K For if the cone A B CDL has not to the cone EFGHN the tri- plicate ratio of ...
... vertex the point L , has to the cone whose base is the circle E F G H and vertex N , the triplicate ratio of that which AC has to E G. A T N R K E G M B Ꮓ F K For if the cone A B CDL has not to the cone EFGHN the tri- plicate ratio of ...
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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