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 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 ...
Seite 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 ...
Seite 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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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