The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Σελίδα 154
The common section of two planes is the line in which the one cuts the other , when they intersect or cross each other V. The inclination of a straight line to a plane , is the acute angle con- tained by that straight line , and another ...
The common section of two planes is the line in which the one cuts the other , when they intersect or cross each other V. The inclination of a straight line to a plane , is the acute angle con- tained by that straight line , and another ...
Σελίδα 166
lines drawn in one of the planes , at right angles to their common section , are also at right angles ( XI . Def . 4 ) to the other plane ; and any straight line F G in the plane D E , which is at right angles to CE , the common section ...
lines drawn in one of the planes , at right angles to their common section , are also at right angles ( XI . Def . 4 ) to the other plane ; and any straight line F G in the plane D E , which is at right angles to CE , the common section ...
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