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Elements of Plane and Solid Geometry, and of Plane and Spherical ...
Gerardus Beekman Docharty
No preview available - 2015
ABCD adjacent allel altitude angles equal bisect centre chord circle circumference cone consequently convex surface cosec cosine cylinder departure diameter diff difference of latitude divided draw drawn equal angles equal th equation equiangular equilateral exterior angle feet figure find the area following RULE formula frustum Geom given angle given line Hence included angle inscribed intersection join latitude Let ABC logarithms longitude measured by half Multiply opposite angles parallel parallelogram perpen perpendicular plane XZ polygon prism Prob PROBLEM produced Prop proportional PROPOSITION pyramid Q. E. D. Corol Q. E. D. THEOREM quadrant quantities radii radius ratio rectangle regular polygon right angles right-angled triangle segment semicircle side BC sine slant height solid angle sphere spherical angle spherical triangle SPHERICAL TRIGONOMETRY square straight line tangent trian triangle ABC versin
Page 15 - 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 40 - The areas or spaces of circles are to each other as the squares of their diameters or of their radii.
Page 83 - 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 67 - 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 24 - 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.