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 38
... described , are equal . Exercise . If , in the sides of a square , points be taken at equal distances from its four ... described upon the side subtending the right angle , is equal to the squares described upon the two sides ...
... described , are equal . Exercise . If , in the sides of a square , points be taken at equal distances from its four ... described upon the side subtending the right angle , is equal to the squares described upon the two sides ...
Σελίδα 83
... described about another , when all the sides of the circumscribed figure pass through the angular points of the figure about which it is described , each through each . According to this definition also , it is plain that the ...
... described about another , when all the sides of the circumscribed figure pass through the angular points of the figure about which it is described , each through each . According to this definition also , it is plain that the ...
Σελίδα 189
... 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 inscribed in the base of the pyramid , and ...
... 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 inscribed in the base of the pyramid , and ...
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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