Cambridge Senate-house Problems and Riders for the Year 1860: With SolutionsMacmillan, 1860 - 198 páginas |
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Página 1
... parallel to AB , and cutting DE in F. Then the two triangles DMB , FMC are clearly equal , and therefore CF BD . Again , CF being parallel to AB , the angle CFE the angle ADE , and because AD = AE , the angle ADE = angle AED ; whence it ...
... parallel to AB , and cutting DE in F. Then the two triangles DMB , FMC are clearly equal , and therefore CF BD . Again , CF being parallel to AB , the angle CFE the angle ADE , and because AD = AE , the angle ADE = angle AED ; whence it ...
Página 3
... parallel , shew that the third will be parallel to the other two , if its intersections with the three straight lines are not all in one straight line . This may be easily proved by a " reductio ad absurdum . " vii . Define a parabola ...
... parallel , shew that the third will be parallel to the other two , if its intersections with the three straight lines are not all in one straight line . This may be easily proved by a " reductio ad absurdum . " vii . Define a parabola ...
Página 4
... parallel to OY cutting OX in N. Measure OD = OE along the asymptotes , such that OD = 4 . ON.NP. Bisect the angle DOE by OA cutting DE in A. Then OA , AD are equal to the axes ; and the remainder of the con- struction is obvious . 12 ...
... parallel to OY cutting OX in N. Measure OD = OE along the asymptotes , such that OD = 4 . ON.NP. Bisect the angle DOE by OA cutting DE in A. Then OA , AD are equal to the axes ; and the remainder of the con- struction is obvious . 12 ...
Página 7
... parallel to itself has no effect upon the point in which the line joining the star and the passenger's eye meets the window . Hence since this line meets the window in points which move in the direction of the carriage's motion , the ...
... parallel to itself has no effect upon the point in which the line joining the star and the passenger's eye meets the window . Hence since this line meets the window in points which move in the direction of the carriage's motion , the ...
Página 9
... parallel to AD . But EC is also parallel to AD ' ; therefore AD ' and AD are in the same straight line . 2. Two equal particles , each attracting with a force varying directly as the distance , are situated at the opposite extremities ...
... parallel to AD . But EC is also parallel to AD ' ; therefore AD ' and AD are in the same straight line . 2. Two equal particles , each attracting with a force varying directly as the distance , are situated at the opposite extremities ...
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Términos y frases comunes
acceleration angular velocity Arabic numbers asymptotes attraction axes axis bisects Cambridge centre of force centre of gravity chord circle circular cloth co-ordinates cone conic conic section constant cos² Crown 8vo curvature cylinder described diameter differential equation direction directrix distance drawn dt dt ellipse ellipsoid equal angles equiangular spiral equilibrium extremity Fcap fixed point fluid foci focus given point Hence horizontal hyperbola inclined intersection latus rectum length locus MACMILLAN & CO.'S meridian motion normal parabola parallel particle perpendicular point of contact position pressure prove ratio respectively right angles Roman numbers SENIOR MODERATOR shew sides sin² singular solution smooth sphere spherical straight line string subtend surface tangent tension triangle Trinity College uniform vertex vertical Vis Viva weight аф
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