The Mathematical Monthly, Τόμος 1John Daniel Runkle John Bartlett, 1859 "A complete catalogue of the writings of Sir John Herschel": v. 3, p. 220-227. |
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Συχνά εμφανιζόμενοι όροι και φράσεις
a₁ algebraic applied arithmetic axis BENJAMIN PEIRCE Cambridge centre CHAUNCEY WRIGHT circumference coefficients Coll College comet cone constant coördinates cos² curve cycloid demonstration denote derivatives diameter distance divided divisor earth ellipse envelope equal equation figure fluid formula Geometry given circle gives height Hence hypocycloid inscribed inscribed sphere intersection JOSEPH WINLOCK Journal length Mass Mathematical Mathematical Monthly method miles motion multiplied nucleus number of positions opposite orbit PAPPUS parabola parallel perihelion perpendicular plane PRIZE PROBLEMS PRIZE SOLUTION Prof proposition prove r₁ radical axis radius ratio right angles roots rotation sections sides SIMON NEWCOMB sin² solid sphere square straight line Student suppose surface tail tangent theorem tion triangle TRUMAN HENRY SAFFORD velocity vertex vertical whole number
Δημοφιλή αποσπάσματα
Σελίδα 258 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
Σελίδα 114 - ... phenomena of which, up to the present time, very little has been certainly known. The comets of 1744 and of 1811 had well-formed envelopes, but the observations upon them were too imperfect and disconnected to afford much more than a basis for conjecture as to their origin and destination. That of Halley, at its apparition in 1835-36, furnishes an example more nearly parallel to the present one, but its phenomena were on a comparatively feeble scale. The most recent intelligence leaves no room...
Σελίδα 309 - In whatever direction a body moves on the surface of the earth there is a force arising from the earth's rotation which deflects it to the right in the northern, but to the left in the southern hemisphere.
Σελίδα 154 - C., and LUNGE, G. Handbook of Technical Gas-Analysis. With figures and diagrams. Second English edition. Translated from the third greatly enlarged German edition, with some additions by George Lunge, Ph.D.
Σελίδα 67 - Traces of a tail were noticed on the 20th of August, and on the 29th it was seen with the naked eye as a hazy star. For a few weeks it occupied a position in the heavens where it rose before the sun and set after it, becoming thus a conspicuous object both in the morning and evening sky. This circumstance gave rise to the erroneous notion that two different comets had appeared. The statement, which was widely circulated, that this was the return of the comet of 1264 and of 1556, supposed by some...
Σελίδα 369 - VARYING DENSITY. Although the preceding results, when applied to the atmosphere, are very much modified by the resistances of the earth's surface, yet they will be of great advantage in explaining its general motions ; for as there can be no resistance until there is motion, the atmosphere must have a tendency to assume in some measure the same motions and figures as in the case of no resistances.
Σελίδα 151 - A Treatise on the Application of Analysis to Solid Geometry. Commenced by DF GREGORY, MA, late Fellow and Assistant Tutor of Trinity College, Cambridge ; Concluded by W. WALTON, MA, Trinity College, Cambridge.
Σελίδα 315 - The Motions of Saturn's Rings. *** The Problem may be treated on the supposition that the system of Rings is exactly or very approximately concentric with Saturn and symmetrically disposed about the plane of his Equator, and different hypotheses may be made respecting the physical constitution of the Rings. It may be supposed (l) that they are rigid : (2) that they are fluid, or in part aeriform : (3) that they consist of masses of matter not mutually coherent.
Σελίδα 406 - This is very satisfactorily accounted for by the preceding principle ; for as there is much more land, with high mountain ranges, in the northern hemisphere, than in the southern, the resistances are greater, and consequently the eastern motions, upon which the deflecting force depends, is much less ; and the consequence is, that the more rapid motions of the southern hemisphere cause a greater depression there, and a greater part of the atmosphere to be thrown into the northern hemisphere.
Σελίδα 94 - I. 13 a similar nature ; their history has a peculiar value, because it affords an insight into the mysterious processes by which the train is thrown out from the nucleus, under the stimulating influence of the sun's light and heat, or possibly of some unknown emanation from the same source. The following were the most conspicuous gradations of light recognized in its neighborhood.