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 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