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 83
... inscribed in another , when all the angular points of the inscribed figure are upon the sides of the figure in which it is inscribed , each upon each . According to this definition , it is plain that the inscribed figure must have as ...
... inscribed in another , when all the angular points of the inscribed figure are upon the sides of the figure in which it is inscribed , each upon each . According to this definition , it is plain that the inscribed figure must have as ...
Σελίδα 89
... inscribed in the circle ; and by drawing tangents through the angular points of the inscribed octagon , a regular octagon may be described about the circle . In the same manner , by the continuous bisection of arcs , a series of regular ...
... inscribed in the circle ; and by drawing tangents through the angular points of the inscribed octagon , a regular octagon may be described about the circle . In the same manner , by the continuous bisection of arcs , a series of regular ...
Σελίδα 189
... inscribed in a cone , when its base is inscribed in the base of the cone , and both solids have a common 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 ...
... inscribed in a cone , when its base is inscribed in the base of the cone , and both solids have a common 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 ...
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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