Oxford, Cambridge and Dublin Messenger of Mathematics, Volum 3Macmillan and Company, 1874 |
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Resultat 1-5 av 34
Side 2
... positive , the weight W will descend through the space W 1 W ( P & p + Q & q + ... ) . Now , in order that the system may be in equilibrium , W must be in its lowest position ; or , what is the same thing , if there is any displacement ...
... positive , the weight W will descend through the space W 1 W ( P & p + Q & q + ... ) . Now , in order that the system may be in equilibrium , W must be in its lowest position ; or , what is the same thing , if there is any displacement ...
Side 3
... positive . We may have dx and dy , each posi- tive or negative ; whence the conditions X = 0 and Y = 0 . But dz is negative ; hence the required condition is satisfied if only Z is positive ; that is , if the vertical force acts down ...
... positive . We may have dx and dy , each posi- tive or negative ; whence the conditions X = 0 and Y = 0 . But dz is negative ; hence the required condition is satisfied if only Z is positive ; that is , if the vertical force acts down ...
Side 13
... positive , or in the opposite direction which we consider negative . It follows that an angle may be of any magnitude , positive or negative . A positive or negative angle when not greater in magnitude than two right angles may be ...
... positive , or in the opposite direction which we consider negative . It follows that an angle may be of any magnitude , positive or negative . A positive or negative angle when not greater in magnitude than two right angles may be ...
Side 14
... positive and less than a right angle . Take OX ( fig . 5 ) as the initial arm of the angles under consideration . Produce XO to X ' and make XOP and X'OQ each equal in magnitude to a . Then it is evident that all angles bounded by OX ...
... positive and less than a right angle . Take OX ( fig . 5 ) as the initial arm of the angles under consideration . Produce XO to X ' and make XOP and X'OQ each equal in magnitude to a . Then it is evident that all angles bounded by OX ...
Side 15
... positive and less than a right angle . But this restriction may be easily removed . It will be observed that the only assumptions with respect to the positions of OP and OQ necessary for the preceding article are two ; first , that OP ...
... positive and less than a right angle . But this restriction may be easily removed . It will be observed that the only assumptions with respect to the positions of OP and OQ necessary for the preceding article are two ; first , that OP ...
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Algebra angles bounded Astronomy axis bounded by OX calculation Calculus of Variations Cambridge centre Ceulen circle Circulo cloth common logarithms complete revolutions cone Conic Sections conterminal continued fraction crown 8vo curve cyclic plane decimals differential equation Edition Elementary ellipsoid elliptic equal Euclid factors fcap focal conic function Geometry given H. J. S. SMITH half calf Hence hyperbolic hyperboloid infinite integral J. W. L. Glaisher locus logarithms magnitude Mathematical mathematician Merrifield method Metius motion multiple negative number of figures obtained paper paraboloid parallel Paris particle perpendicular polygon positive principal section problem Prof Professor Cayley quadrature quadric reciprocal remark result ruled surfaces SCARCE sewed shew sides simple angle solution square straight line tangent terminal arms tetrahedron theorem Theory tion Todhunter's tract Treatise triangle Trigonometrical Ratios velocity vols
Populære avsnitt
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