Problems and ExamplesDeighton, Bell and Company, 1862 - 141 pages |
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Page 53
... vertical angle , the perpendicular let fall from the vertical angle on the base , and the rectangle under the seg- ments of the base ; find the remaining angles . 15. If r be the radius of the circle inscribed in a triangle , and r1 , r ...
... vertical angle , the perpendicular let fall from the vertical angle on the base , and the rectangle under the seg- ments of the base ; find the remaining angles . 15. If r be the radius of the circle inscribed in a triangle , and r1 , r ...
Page 55
... vertical angle , and the difference of the sides ; find the remaining angles . 37. The sides of a triangle are in arithmetical progression , and its area is to that of an equilateral triangle of the same perimeter as 3 : 5. Find the ...
... vertical angle , and the difference of the sides ; find the remaining angles . 37. The sides of a triangle are in arithmetical progression , and its area is to that of an equilateral triangle of the same perimeter as 3 : 5. Find the ...
Page 75
... vertical plane about B. A weight is sus- pended by a string fixed at A and passing over the end C of the rod . Find the position of equilibrium . 4. A string PAQ is knotted to a fixed point A , and drawn in different directions by the ...
... vertical plane about B. A weight is sus- pended by a string fixed at A and passing over the end C of the rod . Find the position of equilibrium . 4. A string PAQ is knotted to a fixed point A , and drawn in different directions by the ...
Page 76
... vertical isosceles triangle , of which the base is horizontal and the angle opposite to the base 120 ° ; find the pressure on each of the tacks . 14. Three forces represented by the numbers 3 , 5 , 9 , can- not under any circumstances ...
... vertical isosceles triangle , of which the base is horizontal and the angle opposite to the base 120 ° ; find the pressure on each of the tacks . 14. Three forces represented by the numbers 3 , 5 , 9 , can- not under any circumstances ...
Page 77
... vertical will be proportional to the weight . 2. Four weights , 1 , 3 , 7 , 5 , are placed at equal distances on a straight lever . Determine the fulcrum . 2 3. There are n weights , W , W ....... W in geometrical progression , and W ...
... vertical will be proportional to the weight . 2. Four weights , 1 , 3 , 7 , 5 , are placed at equal distances on a straight lever . Determine the fulcrum . 2 3. There are n weights , W , W ....... W in geometrical progression , and W ...
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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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