Problems and ExamplesDeighton, Bell and Company, 1862 - 141 pages |
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Page 53
... 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 ,,,, the radii of three other circles ...
... 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 ,,,, the radii of three other circles ...
Page 54
... fall from the vertex of any triangle on the base , the rectangle under the sides of the triangle is equal to the rectangle under the perpendicular and the diameter of the circumscribed circle . 30. If two triangles have an angle of the ...
... fall from the vertex of any triangle on the base , the rectangle under the sides of the triangle is equal to the rectangle under the perpendicular and the diameter of the circumscribed circle . 30. If two triangles have an angle of the ...
Page 75
... fall , fix two ropes at its top , one of which reaches the ground making an angle of 60 ° with the tree , and the other 45 ° . If four men pull at the former towards the south , and six at the latter towards the south - east , towards ...
... fall , fix two ropes at its top , one of which reaches the ground making an angle of 60 ° with the tree , and the other 45 ° . If four men pull at the former towards the south , and six at the latter towards the south - east , towards ...
Page 84
... fall over . 3. A string having its extremities fastened to the ends of a uniform bar of known weight , passes over four tacks so as to form with the bar a regular hexagon , the bar being hori- zontal . Find the tension of the string ...
... fall over . 3. A string having its extremities fastened to the ends of a uniform bar of known weight , passes over four tacks so as to form with the bar a regular hexagon , the bar being hori- zontal . Find the tension of the string ...
Page 88
... fall at the same time from the top of the tower . 4. A balloon is ascending vertically with a given velocity , and a particle is let fall from it , which reaches the ground in t " : find the height of the balloon at the moment of the ...
... fall at the same time from the top of the tower . 4. A balloon is ascending vertically with a given velocity , and a particle is let fall from it , which reaches the ground in t " : find the height of the balloon at the moment of the ...
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Common terms and phrases
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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