Problems and ExamplesDeighton, Bell and Company, 1862 - 141 pages |
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Page 29
... centre in the form of a concentric sphere , and its weight is of the weight of a solid sphere of the same sub- stance and radius ; compare the inner and outer radii , having given that the weight of a sphere varies as the cube of its ...
... centre in the form of a concentric sphere , and its weight is of the weight of a solid sphere of the same sub- stance and radius ; compare the inner and outer radii , having given that the weight of a sphere varies as the cube of its ...
Page 53
... centres of the circles = ( R2 — 2Rr ) . 22. The sides of a triangle are in arithmetical progression , and the distance of the centres of the inscribed and TRIGONOMETRY . 53.
... centres of the circles = ( R2 — 2Rr ) . 22. The sides of a triangle are in arithmetical progression , and the distance of the centres of the inscribed and TRIGONOMETRY . 53.
Page 54
Harvey Goodwin. and the distance of the centres of the inscribed and circum- scribed circles is a mean proportional between the greatest and the least ; shew that the sides are in the proportion of √5-1 : √5 : √5 +1 . 23. In a right ...
Harvey Goodwin. and the distance of the centres of the inscribed and circum- scribed circles is a mean proportional between the greatest and the least ; shew that the sides are in the proportion of √5-1 : √5 : √5 +1 . 23. In a right ...
Page 62
... centre of the inscribed circle of a triangle , P , Q , R , the centres of the escribed circles , prove that OP2 + QR2 = OQ + RP2 = OR2 + PQ2 . CONIC SECTIONS . THE PARABOLA . 1. THE locus of 62 TRIGONOMETRY .
... centre of the inscribed circle of a triangle , P , Q , R , the centres of the escribed circles , prove that OP2 + QR2 = OQ + RP2 = OR2 + PQ2 . CONIC SECTIONS . THE PARABOLA . 1. THE locus of 62 TRIGONOMETRY .
Page 65
... centre of the circumscribing circle , OSA is a right angle . 29. The locus of the centre of a circle which passes through a given point and touches a given straight line is a parabola . 30. If QQ ' be a focal chord , PV the diameter ...
... centre of the circumscribing circle , OSA is a right angle . 29. The locus of the centre of a circle which passes through a given point and touches a given straight line is a parabola . 30. If QQ ' be a focal chord , PV the diameter ...
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2nd Edition 3rd Edition 4th Edition acceleration tending arithmetical arithmetical mean arithmetical series bisected centre of gravity chord circle concave cone Conic Sections conjugate convex lens Crown 8vo cylinder determine diameter directrix distance drawn Elementary ellipse English equal equation extremity F. A. Paley Fcap feet Find the number find the value fluid focal length foci focus geometrical progression given point given weight harmonic mean horizontal inches incident inclined plane inscribed intersection Latin latus rectum locus luminous point middle point mirror Multiply parabola parallel particle describes passing perpendicular position Post 8vo pressure prism projected prove pully quantity radii radius ratio reflected refracting respectively shew sides sin² specific gravity sphere spherical square straight line string subtends surface tangent tower velocity vertex vertical
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