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Elements of Plane and Solid Geometry, and of Plane and Spherical ...
Gerardus Beekman Docharty
No preview available - 2015
a—cos ABCD adjacent adjacent angles allel altitude angles equal base and altitude bisect centre chord circle circumference cone consequently cosec cosine cylinder departure diameter diff difference of latitude divided draw equal angles equal th equation equiangular equilateral exterior angle figure find the area formula frustum Geom given angle given line greater half the arc Hence included angle inscribed intersection join latitude Let ABC line AC longitude manner 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 solid angle sphere spherical angle spherical triangle square straight line tangent trian triangle ABC versin
Page 8 - If two triangles have two sides of the one equal to two sides of the...
Page 35 - 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 22 - If a straight line be divided into any two parts, the square on the whole line is...
Page 60 - The areas or spaces of circles are to each other as the squares of their diameters or of their radii.
Page 103 - 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 87 - 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 44 - 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.