Problems and ExamplesDeighton, Bell and Company, 1862 - 141 pages |
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Page 74
... cone . 6. From a right cone cut an ellipse of given excentricity . 7. Under what conditions is it possible to cut a rectangular hyperbola from a given cone ? STATICS . COMPOSITION AND RESOLUTION OF FORCES . 1. THREE 74 CONIC SECTIONS .
... cone . 6. From a right cone cut an ellipse of given excentricity . 7. Under what conditions is it possible to cut a rectangular hyperbola from a given cone ? STATICS . COMPOSITION AND RESOLUTION OF FORCES . 1. THREE 74 CONIC SECTIONS .
Page 75
... forces are 135 ° , 120 ° , and 105 ° ; compare their magnitudes . 2. Two equal forces sustain each other by means of a string passing over a tack ; prove that either force : pressure on tack ::: cosine of half the angle between the ...
... forces are 135 ° , 120 ° , and 105 ° ; compare their magnitudes . 2. Two equal forces sustain each other by means of a string passing over a tack ; prove that either force : pressure on tack ::: cosine of half the angle between the ...
Page 76
... forces . 8. Three forces acting upon a point keep it at rest ; and they are in the ratios of √3 +1 : 6 : 2. Find the angles at which they are respectively inclined to each other . 9. The resultant and sum of two forces being given ...
... forces . 8. Three forces acting upon a point keep it at rest ; and they are in the ratios of √3 +1 : 6 : 2. Find the angles at which they are respectively inclined to each other . 9. The resultant and sum of two forces being given ...
Page 78
... force , acting upon its lower extremity by means of a string , which passes over a peg at a given point in the same horizontal line with the axis of suspension ; find the angle through which the rod is drawn . 10. Two weights , 3 and 4 ...
... force , acting upon its lower extremity by means of a string , which passes over a peg at a given point in the same horizontal line with the axis of suspension ; find the angle through which the rod is drawn . 10. Two weights , 3 and 4 ...
Page 79
... force must be exerted to sustain a ton weight on a screw , the thread of which makes 158 turns in the course of 12 inches , and which is acted on by an arm 6 feet long ? 2. A weight W is sustained upon an inclined plane by a force P ...
... force must be exerted to sustain a ton weight on a screw , the thread of which makes 158 turns in the course of 12 inches , and which is acted on by an arm 6 feet long ? 2. A weight W is sustained upon an inclined plane by a force P ...
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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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