The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Σελίδα 38
If two squares be equal , their sides , or the straight lines on which they are described , are equal . Exercise . - If , in the sides of a square , points be taken at equal distances from its four angular points , in succession ...
If two squares be equal , their sides , or the straight lines on which they are described , are equal . Exercise . - If , in the sides of a square , points be taken at equal distances from its four angular points , in succession ...
Σελίδα 83
II . ку In like manner , one rectilineal figure is said to be 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 .
II . ку In like manner , one rectilineal figure is said to be 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 .
Σελίδα 189
I. A PYRAMID is said to be 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 ...
I. A PYRAMID is said to be 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 ...
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A B C ABCD altitude applied base bisected Book Cassell's centre circle circumference cloth coincide common cone Const contained Corollary cylinder definition demonstration described diagonal diameter divided double draw Edition equal equal angles equiangular equimultiples Exercise extremities fore four fourth given straight line greater half Illustrated inscribed interior join less magnitudes manner meet multiple parallel parallelogram parallelopiped pass perpendicular plane polygon prism PROBLEM produced PROP proportionals proposition proved pyramid ratio reason rectangle rectangle contained rectilineal figure remaining angle right angles segment shown sides similar solid solid angle sphere square straight lines A B taken THEOREM third touch triangle triangle ABC twice vertex Vols Wherefore whole