Problems and ExamplesDeighton, Bell and Company, 1862 - 141 pages |
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Page 29
... radius ; compare the inner and outer radii , having given that the weight of a sphere varies as the cube of its radius . ARITHMETICAL PROGRESSION . 1. The latter half of 2n terms of any arithmetical series = of the sum of 3n terms of ...
... radius ; compare the inner and outer radii , having given that the weight of a sphere varies as the cube of its radius . ARITHMETICAL PROGRESSION . 1. The latter half of 2n terms of any arithmetical series = of the sum of 3n terms of ...
Page 46
... radius 5. Find the circular measure of 1 ' . 6. It may be shewn , that if a very small angle 0 is ex- As pressed in units of circular measurement , sin 0 = 0 - nearly ; 6 what change must be made in the formula if is expressed in ...
... radius 5. Find the circular measure of 1 ' . 6. It may be shewn , that if a very small angle 0 is ex- As pressed in units of circular measurement , sin 0 = 0 - nearly ; 6 what change must be made in the formula if is expressed in ...
Page 52
... radius of the circle circumscribed about a given triangle ABC , and r the radius of the inscribed circle , then r = 4R sin A B sin sin 2 13. In a plane triangle ABC , given the sum 52 TRIGONOMETRY .
... radius of the circle circumscribed about a given triangle ABC , and r the radius of the inscribed circle , then r = 4R sin A B sin sin 2 13. In a plane triangle ABC , given the sum 52 TRIGONOMETRY .
Page 53
... radius of the circle inscribed in a triangle , and r1 , r ,,,, the radii of three other circles which touch the produced , then 1 1 1 1 = + + r1 1 · 16. In a right - angled triangle , the lengths of lines drawn from the acute angles to ...
... radius of the circle inscribed in a triangle , and r1 , r ,,,, the radii of three other circles which touch the produced , then 1 1 1 1 = + + r1 1 · 16. In a right - angled triangle , the lengths of lines drawn from the acute angles to ...
Page 54
... radius of the inscribed circle , determine the sides . 25. The triangle ABC has its angles A , B , C in the ratio of 2 : 3 : 4. Prove that cos A 2 - a + c 26 26. The angles of a triangle are as the numbers 1 , 2 , 3 ; and the ...
... radius of the inscribed circle , determine the sides . 25. The triangle ABC has its angles A , B , C in the ratio of 2 : 3 : 4. Prove that cos A 2 - a + c 26 26. The angles of a triangle are as the numbers 1 , 2 , 3 ; and the ...
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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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