New Series of The Mathematical Repository, المجلد 2W. Glendinning, 1809 |
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alfo angle arch axis becauſe bisected body cafe centre of gravity cofine cone confequently Conic Sections conic surface CUNLIFFE curve defcend defcribed denote diameter diftance draw drawn ellipse elliptic functions equal equation expreffed expreffion fame fegment feries fhall fides fimilar fince fluent fluxion folution force formula fquare ftraight line ftring fubftitution fuch function fuppofe given by pofition given point given ratio hence horizon hyperbola inclined plane integral interfect join locus LowRY Mathematical motion paffed Papcastle parabola parallel perpendicular plane preffure proposition quantity QUESTION radius rectangle refpectively reprefent right line sin² ſpace surface tangent thefe theorem theſe triangle velocity vertical weight whence
مقاطع مشهورة
الصفحة 221 - In whatever manner a number of bodies change their motions, if we suppose that the motion which each body would have in the following moment, if it were perfectly free, is decomposed into two others, one of which is the motion which it really takes in consequence of their mutual actions, then the other component will be such, that if each body were impressed by a force which would produce it alone, the whole system would be in equilibrium.
الصفحة 179 - E', the point in which any other line AN, making a given angle with AB, meets the curve, draw from N, the point in which it meets the circumference of the circle QER, NO, perpendicular to AB, so that AO may be the cosine of NAO, and from O toward A take OP = AB, then AP will be the cosine of the angle ABE' ; so to find BE' draw PQ perpendicular to AP, meeting the circle in Q ; join AQ, and draw BE' parallel to AQ, meeting AE' in E', the point E
الصفحة 248 - Elementa Sphaericae Doctrinae. 4to. Basil. 16 — . [D. 20. 3.] PAMAN (Roger) The Harmony of the Ancient and Modern Geometry asserted. 4to. London, 1745. [C. 22. 27.] PARDIES (Ignatii Gaston) Elementa Geometriae. 12mo. Oxonii, 1694. [Dd. 4. 54.] PEACOCK (DM) A System of Conic Sections, adapted to the Study of Natural Philosophy. 8vo. London, 1810. [Dd. 1. 25.] Another Copy. 8vo. London, 1810. [C. 27. 30.] PLAYFAIR (John) Elements of Geometry ; containing the first Six Books of Euclid, with Elements...
الصفحة 190 - A Reply to a Critical and Monthly Reviewer, in which is inserted Euler's Demonstration of the Binomial Theorem.
الصفحة 250 - ... g multiplied into the sum of all the products of each body into the space it has perpendicularly descended, will be equal to the sum of all the products of each body into the square of its velocity.
الصفحة 221 - In whatever manner several bodies change their actual motions, if we conceive that the motion which each body would have in the succeeding instant, if it were quite free, is decomposed into two others, of which one is the motion...
الصفحة 189 - ... a lunar distance is the observed distance of the moon from the sun, or from a particular star or planet, at any instant. The lunar theory is brought to such perfection, that the times of these phenomena, observed under any meridian, when compared 'with those computed for Greenwich in the Nautical Almanac, give the longitude of the observer within a few miles.