The Doctrine of Fluxions: Not Only Explaining the Elements Thereof, But Also Its Application and Use in the Several Parts of Mathematics and Natural PhilosophyRobinson and Roberts, 1768 - 432 עמודים |
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מהדורות אחרות - הצג הכל
The Doctrine of Fluxions: Not Only Explaining the Elements, Thereof, But ... <span dir=ltr>William Emerson</span> אין תצוגה מקדימה זמינה - 2018 |
מונחים וביטויים נפוצים
aa-xx AB=x affume againſt alfo alſo Angle Arch whofe Area Axis Bafe becauſe Body Cafe cbbx Center Circle Coefficients Cofine confequently cubic Parabola Curve Cycloid defcending defcribed Denfity Diſtance e+fz equal Equation expunging F I G fame fecond fhall fimilar Triangles fimple fince find the Fluent firft firſt fluxionary fmall fome Force fubftitute fuch fuppofe given Fluxion given Quantity Gravity Hence homologous Terms Hyperbola increaſe infinite laft laſt Latus Rectum Likewife Logarithm Method of Fluxions Motion muſt Ordinate Parabola Particle perpendicular Plane Point Prob Prop Radius of Curvature Refiftance SCHOLIUM Series Sine ſmall Solid Space Subtangent Suppoſe Tangent thefe theſe variable Quantity Velocity Weight whence whofe Fluent whole Number whoſe x²x
קטעים בולטים
עמוד 4 - Quantities, and the ratios of quantities, which in any finite time converge continually to equality, and before the end of that time approach nearer to each other than by any given difference, become ultimately equal.
עמוד 353 - AR be the radius of curvature; from the point a in the curve infinitely near A, draw am, an parallel to AS, AR. Let C= velocity in the curve ; c- velocity in the circle.
עמוד 399 - ... water in both legs; and when the water in the leg KL ascends to the height EF, the water will descend in the leg MN to the height GH. Let P be a pendulous body, VP the thread, V the point of suspension, RPQS the cycloid which the pendulum describes, P its lowest point, PQ an arc equal to the height AE. The force with which the motion of the water is accelerated and retarded alternately is the excess of the weight of the water in one leg above the weight in the other; and, therefore, when the...
עמוד 323 - The nature of a curve forming an arch being given, to find the nature of the curve, bounding the top of the wall supported by that arch, by the pressure or weight of which wall, all the parts of the arch are kept in equilibrio without falling.
עמוד 192 - ¿a, which therefore is = — ; but ¿a is alfo equal to the fluxion of the logarithm A &c by the defcription ; therefore the fluxion of the logarithm is equal to —, the fluxion of the quantity divided by the quantity itfelf. The fame thing appears again at art.
עמוד 422 - the earth being an oblate •' fpheroid, the fphere is encompaffed with a folid cruft going " round the equator in the manner of a ring ; now the effect of •' the forces of the fun and moon upon this cruft, and the motion " communicated thereby to the whole body of the earth, is what
עמוד 306 - Ofcillation is the Point in the Axis of a vibrating Body, in which if a fmall Body or Particle be placed, it (hall perform its Vibrations after the fame «Manner, in the lame Time, and with the fame angular Velocity as the whole Body.
עמוד iv - Things as generated by continual Increafe, after the Manner of a Space which a Thing or Point in Motion defcribes.