Oxford, Cambridge and Dublin Messenger of Mathematics, Volum 3Macmillan and Company, 1874 |
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Side 13
... described is termed the generating line ; the line with which it coincides at first the initial arm , and the line with which it finally coincides the terminal arm of the angle generated . Either of the two arms of an angle may be of ...
... described is termed the generating line ; the line with which it coincides at first the initial arm , and the line with which it finally coincides the terminal arm of the angle generated . Either of the two arms of an angle may be of ...
Side 40
... described as the theorem that π lies between ʼn sin and n tan ( this being the statement in the case of polygons П n of n sides ) . The former quantity = π TF - + ... and the latter 6n2 = π + + so that the number of decimals of " that ...
... described as the theorem that π lies between ʼn sin and n tan ( this being the statement in the case of polygons П n of n sides ) . The former quantity = π TF - + ... and the latter 6n2 = π + + so that the number of decimals of " that ...
Side 47
... described on the radius . The object of the present short paper is to deduce the general theorem for the regular N - gon , of which the foregoing is a particular case - a theorem which , so far as the writer is aware , has not been ...
... described on the radius . The object of the present short paper is to deduce the general theorem for the regular N - gon , of which the foregoing is a particular case - a theorem which , so far as the writer is aware , has not been ...
Side 56
... described on t , t ,, a , b , c , three times the sum of those on t , t ' is equal to the sum of those on a , b , c . Let ABC ( fig . 17 ) be any triangle , on the sides a , b , c describe equilateral triangles externally and internally ...
... described on t , t ,, a , b , c , three times the sum of those on t , t ' is equal to the sum of those on a , b , c . Let ABC ( fig . 17 ) be any triangle , on the sides a , b , c describe equilateral triangles externally and internally ...
Side 57
... described on t , t , a , b , c , then 3 times the sum of similar figures on t and t is equal to the sum of the similar figures on a , b , and c ; consequently if the similiar figures be equiangular triangles it also holds good . 1 ...
... described on t , t , a , b , c , then 3 times the sum of similar figures on t and t is equal to the sum of the similar figures on a , b , and c ; consequently if the similiar figures be equiangular triangles it also holds good . 1 ...
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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.
Side 4 - AN ELEMENTARY TREATISE ON THE LUNAR THEORY, with a Brief Sketch of the Problem up to the time of Newton. Second Edition, revised. Crown 8vo. cloth. 5*. 6d. Hemming. — AN ELEMENTARY TREATISE ON THE DIFFERENTIAL AND INTEGRAL CALCULUS, for the Use; of Colleges and Schools.
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.
Side 6 - PUCKLE— AN ELEMENTARY TREATISE ON CONIC SECTIONS AND ALGEBRAIC GEOMETRY. With Numerous Examples and Hints for their Solution ; especially designed for the Use of Beginners. By GH PUCKLE, MA New Edition, revised and enlarged. Crown 8vo. "]s. 6d. RAWLINSON— ELEMENTARY STATICS. By the Rev. GEORGE RAWLINSON, MA Edited by the Rev. EDWARD STURGES, MA Crown 8vo. 4*.
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.
Side 4 - Ferrers. — AN ELEMENTARY TREATISE ON TRILINEAR CO-ORDINATES, the Method of Reciprocal Polars, and the Theory of Projectors. By the Rev. NM FERRERS, MA, Fellow and Tutor of Gonville and Caius College, Cambridge.
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.