ISBN: 1130310132

[EAN: 9781130310139], Neubuch, [PU: RareBooksClub], SUBJECTS, This item is printed on demand. Paperback. 60 pages. Dimensions: 9.7in. x 7.4in. x 0.1in.This historic book may have numerous… More...

[EAN: 9781130310139], Neubuch, [PU: RareBooksClub], SUBJECTS, This item is printed on demand. Paperback. 60 pages. Dimensions: 9.7in. x 7.4in. x 0.1in.This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1894 Excerpt: . . . at its vertex; prove that the string can range, consistently with equilibrium, through an angle cot-1 2A3--cota, where a is the inclination of the plane 56 9636. (Charles L. Dodgson, M. A. )--If three numbers, not in Arithmetical Progression, be such that their sum is a multiple of 3, prove that the sum of their squares is also the sum of another set of 3 squares, the two sets having no common term 86 9729. (Rev. T. Roach, M. A. )--Inscribe an ellipse in an isosceles triangle so that one focus may be at the orthocentre 54 9858. (NImporte. )--On considere les pieds ABC des hauteurs et les pieds Ai, B1, Ci des mdianes dun triangle ABC. Demontrer que les droites AB! et A, BCi et hfi, CAi et A se coupent deux a deux sur la droite qui joint le point de concours des hauteurs au centre du cercle circonscrit au triangle 31 10399, 12172. (F. R. J. Hervey. )--Of the three quadrilaterals formed by four lines, let X, Y denote any two, each with a definite sense of description; and let p, q, r, s be the ratios of the sides of Y, taken in order, to the corresponding (that is, collinear) sides of X. Prove that, if we start with that line on which the sides of X and Y are represented with their proper sense by LM, MN respectively, we have (q--p--1) r--s--1) 1, qrps 50 10837. (Professor Morel. )--On donne deux axes rectangulaires Ox et Oy, et une droite fixe BC, parallle a OY, et dont lequation est x--h 0. On considere toutes les hyperboles ayant un foyer a lorigine, et pour asymptote la droite BC. Trouver (1) le lieu geomtrique du second foyer; (2) le lieu geometrique du point de rencontre de laxc, avec la directrice correspondant au premier foyer; (3) lenveloppe do la seconde asymptote; (4) lenveloppe de laxe non transverse; (5) le lieu de. . . This item ships from La Vergne,TN.<

2012, ISBN: 1130310132

[EAN: 9781130310139], Neubuch, [PU: Rarebooksclub.com, United States], Language: English . Brand New Book ***** Print on Demand *****.This historic book may have numerous typos and missin… More...

[EAN: 9781130310139], Neubuch, [PU: Rarebooksclub.com, United States], Language: English . Brand New Book ***** Print on Demand *****.This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1894 Excerpt: .at its vertex; prove that the string can range, consistently with equilibrium, through an angle cot-1 2/A/3--cota, where a is the inclination of the plane 56 9636. (Charles L. Dodgson, M.A.)--If three numbers, not in Arithmetical Progression, be such that their sum is a multiple of 3, prove that the sum of their squares is also the sum of another set of 3 squares, the two sets having no common term 86 9729. (Rev. T. Roach, M.A.)--Inscribe an ellipse in an isosceles triangle so that one focus may be at the orthocentre 54 9858. (N Importe.)--On considere les pieds A B C des hauteurs et les pieds Ai, B1, Ci des medianes d un triangle ABC. Demontrer que les droites A B! et A , B Ci et hfi , CAi et A se coupent deux a deux sur la droite qui joint le point de concours des hauteurs au centre du cercle circonscrit au triangle 31 10399, 12172. (F. R. J. Hervey.)--Of the three quadrilaterals formed by four lines, let X, Y denote any two, each with a definite sense of description; and let p, q, r, s be the ratios of the sides of Y, taken in order, to the corresponding (that is, collinear) sides of X. Prove that, if we start with that line on which the sides of X and Y are represented with their proper sense by LM, MN respectively, we have (q--p--1) r--s--1) = 1, qr=ps 50 10837. (Professor Morel.)--On donne deux axes rectangulaires Ox et Oy, et une droite fixe BC, parallele a OY, et dont l equation est x--h = 0. On considere toutes les hyperboles ayant un foyer a l origine, et pour asymptote la droite BC. Trouver (1) le lieu geometrique du second foyer; (2) le lieu geometrique du point de rencontre de l axc, avec la directrice correspondant au premier foyer; (3) l enveloppe do la seconde asymptote; (4) l enveloppe de l axe non transverse; (5) le lieu de.<