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 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 ...
Seite 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 ...
Seite 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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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