Solutions of the Cambridge Senate-house Problems and Riders for the Year 1875Sir George Greenhill Macmillan and Company, 1876 - 236 páginas |
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... radius of the circle is constant . This circle is analogous to the nine - pointic circle of a triangle . 3. Upon a given straight line describe a segment of a circle which shall contain an angle equal to a given rectilineal angle ...
... radius of the circle is constant . This circle is analogous to the nine - pointic circle of a triangle . 3. Upon a given straight line describe a segment of a circle which shall contain an angle equal to a given rectilineal angle ...
Página 14
... radius of the inscribed circle of a triangle in terms of the angles and one side . 3 red If R , r , r , r , are the radii of the circumscribed , in- scribed , and escribed circles of a triangle , prove that For r1 + r2 + r2 − r = 4R ...
... radius of the inscribed circle of a triangle in terms of the angles and one side . 3 red If R , r , r , r , are the radii of the circumscribed , in- scribed , and escribed circles of a triangle , prove that For r1 + r2 + r2 − r = 4R ...
Página 22
... radius of the circle on which the particle moves , and α , O are the angles which the radius drawn to the particle makes with the vertical at the instant when it is stationary and at the instant considered . Let be the radius of the arc ...
... radius of the circle on which the particle moves , and α , O are the angles which the radius drawn to the particle makes with the vertical at the instant when it is stationary and at the instant considered . Let be the radius of the arc ...
Página 31
... really is by a distance μ - 1 3μ - 1 t , provided that t the thickness of the glass is equal to the radius of the internal cavity and u is the refractive index for the glass . Let A be the speck ( fig . 22 ) 11-4 ] 31 AND RIDERS .
... really is by a distance μ - 1 3μ - 1 t , provided that t the thickness of the glass is equal to the radius of the internal cavity and u is the refractive index for the glass . Let A be the speck ( fig . 22 ) 11-4 ] 31 AND RIDERS .
Página 35
... 'B'C ' formed by the centres of the escribed circles . If D be the centre of the inscribed circle , and O of the circumscribed circle of the triangle ABC , then A ' , B ' , C ' lie on a circle of radius double the radius of the ( 35 )
... 'B'C ' formed by the centres of the escribed circles . If D be the centre of the inscribed circle , and O of the circumscribed circle of the triangle ABC , then A ' , B ' , C ' lie on a circle of radius double the radius of the ( 35 )
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Solutions of the Cambridge Senate-House Problems and Riders for the Year 1875 George Greenhill Sin vista previa disponible - 2016 |
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apse line Arabic numbers axes axis Cambridge centre of inertia circle coefficient conic section coordinates cos² cose cosec Crown 8vo curvature curve density diameter differential equation distance dx dy dz dx² Edition electricity ELEMENTARY TREATISE ellipse ellipsoid equal equations of motion equilibrium Extra fcap Fellow of St fixed fluid force given GREEK harmonic Hence hyperbola hypocycloid integral intersect J. P. MAHAFFY John's College late Fellow LATIN length lines of curvature liquid lunar precession magnets middle points normal numerous Illustrations orbit Owens College parabola parallel particle perpendicular plane polar pressure prism Professor prove radius ratio refracting right angles Roman numbers School shew sin sin sin sin² sphere straight line surface tangent triangle ABC Trinity College velocity vertical
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