Mathematical Questions and Solutions in Continuation of the Mathematical Columns of the Educational Times Volume N . 31

Mathematical Questions and Solutions in Continuation of the Mathematical Columns of the Educational Times Volume N . 31

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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. 1879 edition. Excerpt: ...surface (statical problem) of an equatorial canal of constant width and depth (without rotation), attracted by the moon always in the equator, is log (p) = o cos 2p + f). Solution by J. J. Walker, M.A. In this case I resolve the forces acting on the particle of water P along PT (p), T being the Earth's centre, and PY parallel to tho line joining centres of Earth and Moon. The disturbing forces in these directions are--and--p cos-$-respectively, within the specified limits; and R R adding to the former hL!L for Earth's attraction, where gf = i--, the conHp2 k dition that the forces on P shall have a resultant along PN the normal to the free surface, meeting the line of centres in N, is p +:3p cos (p = PT: TN = d (p cos p): dp, see Quest. 6964, 5855. (By Professor Darbocx.)--Par le point de contact A de deux circonferences donnees, on mene deux cordes AB et AD qui soient dans un rapport donne; et des centres O, C on abaisse des perpendiculaires sur ces cordes. On demande le lieu geometrique du point de rencontre M do ces perpendiculaires. and others. Solution by Professor Cochez; G. Tukkiff, M.A. Du point M abaissons la perpendiculaire M H sur la ligne des centres. Les triangles semblables MOH et AOE, MCH et AFC, donnent MO OA CM _ CA MH AE' MHFA' Divisant membre a membre ces deux relations, OM _ OA.F CM CA.EA FA puis que j-est constant par hypothese. Le lieu est donc une circonference decrite sur la droite qui joint les points conjugues harmoniques partageant OC dans le rapport donne.. Constante; 5866. (By H. N. C'apel, LL.B)--Given the two lines bisecting the acute angles of a right-angled triangle; determine the triangle. Solution by Morgan Brierley; Edwyn Anthony, M.A.; and others....show more

Product details

  • Paperback | 32 pages
  • 189 x 246 x 2mm | 77g
  • Rarebooksclub.com
  • Miami Fl, United States
  • English
  • black & white illustrations
  • 1236492927
  • 9781236492920