Oxford, Cambridge and Dublin Messenger of Mathematics, Volum 3Macmillan and Company, 1874 |
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Side 5
... complete , or n - 1 complete and two half squares , according as n is odd or even . That 1 + 2 + 3 ... + n = { n ( n + 1 ) is evident by arranging points in the form of a triangle with 1 , 2 , 3 ... in successive rows ; but it also is ...
... complete , or n - 1 complete and two half squares , according as n is odd or even . That 1 + 2 + 3 ... + n = { n ( n + 1 ) is evident by arranging points in the form of a triangle with 1 , 2 , 3 ... in successive rows ; but it also is ...
Side 7
... complete reprint of nearly the whole work . With Mr. Drach's proposed combination , more than double the time would be occupied in taking out a ten - figure logarithm than is now required with the existing tables , to say nothing of the ...
... complete reprint of nearly the whole work . With Mr. Drach's proposed combination , more than double the time would be occupied in taking out a ten - figure logarithm than is now required with the existing tables , to say nothing of the ...
Side 13
... complete revolutions before its first coincidence with OP ; and to revolve either in the direction indicated by the arrow which we consider positive , or in the opposite direction which we consider negative . It follows that an angle ...
... complete revolutions before its first coincidence with OP ; and to revolve either in the direction indicated by the arrow which we consider positive , or in the opposite direction which we consider negative . It follows that an angle ...
Side 14
... complete revo- lutions of the generating line . 6. We have seen in §2 , that an angle may be of any magnitude . If , however , we suppose an angle to increase or decrease gradually , then at the end of each complete revolution or period ...
... complete revo- lutions of the generating line . 6. We have seen in §2 , that an angle may be of any magnitude . If , however , we suppose an angle to increase or decrease gradually , then at the end of each complete revolution or period ...
Side 15
... complete revolutions of the generating line . If , therefore , n be any positive or negative integer the expression 2nπ + α will include all angles bounded by OX and OP and no others . - Again , the angles bounded by OX and OQ consist ...
... complete revolutions of the generating line . If , therefore , n be any positive or negative integer the expression 2nπ + α will include all angles bounded by OX and OP and no others . - Again , the angles bounded by OX and OQ consist ...
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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
Side 180 - RESEARCHES IN THE CALCULUS OF VARIATIONS, principally on the Theory of Discontinuous Solutions: an Essay to which the Adams' Prize was awarded in the University of Cambridge in 1871.
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Side 118 - A conic section is the locus of a point which moves so that its distance from a fixed point, called the focus, is in a constant ratio to its distance from a fixed straight line, called the directrix.
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Side 154 - Four quantities are said to be proportional when thejatio of the first to the second is the same as the ratio of the third to the fourth.
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Side 2 - Cheyne. — Works by CHH CHEYNE, MA, FRAS AN ELEMENTARY TREATISE ON THE PLANETARY THEORY. With a Collection of Problems. Second Edition. Crown 8vo. cloth. 6s.
Side 6 - Corrigenda' of the old copy and correcting typographical errors." The book is of a handsome size, with large type, fine thick paper, and cleanly cut figures, and is the only modern edition containing the whole of Newton
Side 10 - Rara Mathematica ; or a Collection of Treatises on the Mathematics and Subjects connected with them, from ancient inedited MSS. by JO HALLIWELL, 8vo.
Side 8 - Tait and Steele. — A TREATISE ON DYNAMICS OF A PARTICLE. With numerous Examples. By Professor TAIT and Mr. STEELE.