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Elements of Plane and Solid Geometry, and of Plane and Spherical ...
Gerardus Beekman Docharty
No preview available - 2015
ABCD adjacent altitude base bearing called centre chord circle circumference common cone consequently contained convex surface Corol cosine course cylinder departure describe diameter diff difference distance divided double draw drawn equal equation equiangular EXAMPLES extremes feet figure find the area formula four frustum given greater half height Hence included intersection join latitude length less manner measured meet meridian miles Multiply opposite parallel parallelogram pass perpendicular plane plane XZ pole polygon prism Prob PROBLEM produced Prop proportional PROPOSITION pyramid quantities radii radius ratio rectangle right angles RULE segment sides similar sine solid sphere spherical triangle square straight line taken tangent THEOREM third tion triangle triangle ABC volume whole
Page 13 - THE Angle formed by a Tangent to a Circle, and a Chord drawn from the Point of Contact, is Equal to the Angle in the Alternate Segment.
Page 81 - A cone is a solid figure described by the revolution of a rightangled triangle about one of the sides containing the right angle, which side remains fixed.
Page 65 - angle in a segment' is the angle contained by two straight lines drawn from any point in the circumference of the segment, to the extremities of the straight line which is the base of the segment.
Page 1 - When a line is mentioned simply, it means a Right Line. 7. A Curve continually changes its direction between its extreme points. 8. Lines are either Parallel, Oblique, Perpendicular, or Tangential. 9. Parallel Lines are always at the same perpendicular distance; and they never meet though ever so far produced. 10. Oblique lines change their distance, and would meet, if produced on the side of the Jeast distance.
Page 22 - Proportion, when the ratio is the same between every two adjacent terms, viz. when the first is to the second, as the second to the third, as the third to the fourth, as the fourth to the fifth, and so on, all in the same common ratio.