An Essay on Newton's "Principia"Macmillan and Company, 1893 - 175 sider |
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adeo apse line areas attraction axis body describes body move Brewster Cambridge celeritas centre of force centripetal force comet conic copy corollaries corporum corpus Cotes Correspondence curve cycloid David Gregory density distance distantiae diurnal motion duplicate proportion earth ellipseos ellipsis equal erit Flamsteed fluid focus force which varies geometrical progression given point given straight lines gravity Halley to Newton Hooke's hyperbola hypothesis Invenire Isaac Newton June 20 latus rectum law of force lectures Lemma linea London Lunae manuscript mathematical medii medium whose resistance moon moon's motion of bodies motus Newton to Halley Newton's letter orbit oscillation parabola particle Pemberton pendulum perpendicular planets Portsmouth Portsmouth Collection Principia printed Prop proportionalis propositions quadrature quae quam quod ratio reciprocally recta resistance varies resistentia revolve Rigaud Royal Society Scholium second edition SECTION sphere sunt supposed tangent temporis third book third edition umbilicus velocity
Populære avsnitt
Side 1 - of their Orbs I deduced that the forces w ch keep the Planets in their Orbs must [be] reciprocally as the squares of their distances from the centers about w ch they revolve: and thereby compared the force requisite to keep the Moon in her Orb with the force of gravity at the surface of the earth, and found them
Side 71 - impressed, and takes place in the direction in which the force is impressed. Law 3. To every action of one body on another there is always opposed an equal and opposite reaction of the second body on the first. the total momentum of a system of bodies in any direction is unaffected by their
Side 1 - the direct method of fluxions, and the next year in January had the Theory of colours, and in May following I had entrance into y e inverse method of fluxions. And the same year I began to think of gravity extending to y e orb of the Moon, and having found out how to estimate the force with
Side 1 - [a] globe revolving within a sphere presses the surface of the sphere, from Kepler's Rule of the periodical times of the Planets being in a sesquialterate proportion of their distances from the
Side 115 - a list, applied direct to Newton, who in July, 1691, sent the following directions! : Next after Euclid's Elements the Elements of y e Conic sections are to be understood. And for this end you may read either the first part of y e Elementa Curvarum of John De Witt, or De la Hire's late treatise of y e
Side 71 - 1. Every body continues in its state of rest or of uniform motion in a straight line unless compelled to change that state by forces impressed on it. [This seems to be a consequence of the second law, and if so it is not clear why it was enunciated as a separate law.] Law 2. The change of momentum [per unit of time] is always proportional to the moving
Side 88 - to be regarded as a mathematical hypothesis rather than a physical one. In mediums void of tenacity the resistance varies as the square of the velocity, and to the consideration of motion under that law the next section is devoted. Section II.—On the motion of bodies in a medium whose resistance varies as the square of the velocity.
Side 1 - inverse method of fluxions. And the same year I began to think of gravity extending to y e orb of the Moon, and having found out how to estimate the force with w
Side 160 - hypothesis of mine, registered by Mr. Oldenburg in your book, you will see that I then understood it. For I there suppose that the descending spirit acts upon bodies here on the superficies of the earth with force proportional to the superficies of their parts ; which cannot be, unless the diminution of its velocity in
Side 70 - as yet unknown) are either mutually impelled towards each other and cohere in regular figures, or are repelled and recede from each other; which forces being unknown, philosophers have hitherto