《自然哲學的數(shù)學原理》是第一次科學革命的集大成之作,它在物理學、數(shù)學、天文學和哲學等領域產(chǎn)生了巨大影響。在寫作方式上,牛頓遵循古希臘的公理化模式,從定義、定律(即公理)出發(fā),導出命題;對具體的問題(如月球的運動),把從理論導出的結果和觀察結果相比較。全書共分五部分,首先“定義”,這一部分給出了物質(zhì)的量、時間、空間、向心力等的定義。第二部分是“公理或運動的定律”,包括著名的運動三定律。接下來的內(nèi)容分為三卷。前兩卷的標題一樣,都是“論物體的運動”。第一卷研究在無阻力的自由空間中物體的運動,許多命題涉及已知力解定受力物體的運動狀態(tài)(軌道、速度、運動時間等),以及由物體的運動狀態(tài)確定所受的力。第二卷研究在阻力給定的情況下物體的運動、流體力學以及波動理論。
艾薩克·牛頓(1643年1月4日—1727年3月31日)爵士,英國皇家學會會長,英國著名的物理學家,百科全書式的“全才”,著有《自然哲學的數(shù)學原理》、《光學》。
Front Matter
MATHEMATICAL PRINCIPLES OF NATURAL PHILOSOPHY
Definitions
Axioms, or Laws of Motion.
BOOK I THE MOTION OF BODIES
I. Method of first and last ratios
II. Determination of centripetal forces
III. Motion of bodies in eccentric conic sections
IV. Determination of elliptic, parabolic, and hyperbolic orbits, from the focus given
V. Determination of orbits when neither focus is given
VI. Determination of motions in given orbits
VII. Rectilinear ascent and descent of bodies
VIII.Determination of orbits in which bodies will revolve, being acted
upon by any sort of centripetal force
IX. Motion of bodies in movable orbits; and the motion of the apsides
X. Motion of bodies in given surfaces; and the oscillating pendulous motion of bodies
XI. Motion of bodies tending to each other with centripetal forces
XII. Attractive forces of spherical bodies
XIII.Attractive forces of bodies which are not spherical
XIV.Motion of very small bodies when agitated by centripetal forces
tending to the several parts of any very great body
BOOK II THE MOTION OF BODIES (IN RESISTING MEDIUMS)
I. Motion of bodies that are resisted in the ratio of the velocity
II. Motion of bodies that are resisted as the square of their velocities
III. Motion of bodies that are resisted partly in the ratio of the velocities, and partly as the square of the same ratio
IV. Circular motion of bodies in resisting mediums
V. Density and compression of fluids; hydrostatics
VI. Motion and resista
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