The General Laws of Nature and Motion: With Their Application to Mechanicks. Also the Doctrine of the Centripetal Forces, and Velocities of Bodies, Describing Any of the Conick Sections. Being a Part of the Great Mr. Newton's Principles. The Whole Illustrated with Variety of Useful Theorems and Problems, and Accommodated to the Use of the Younger MathematiciansR. Mount, 1709 - 232 sider |
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The General Laws of Nature and Motion, with Their Application to Mechanicks ... Humphry Ditton Uten tilgangsbegrensning - 1705 |
The General Laws of Nature and Motion: With Their Application to Mechanicks ... Humphry Ditton Uten tilgangsbegrensning - 1705 |
The General Laws of Nature and Motion: With Their Application to Mechanicks ... Humphry Ditton Ingen forhåndsvisning tilgjengelig - 2016 |
Vanlige uttrykk og setninger
abfolute alfo alſo Angle Arch Area's becauſe Body moving Body revolving Cafe Center of Gravity Centrifugal Force Centripetal Force tending Circle common Center confequently Conick Section Corollaries Curve defcend defcrib'd defcribe demonftrated Diagonal Diameter direct Stroke Ellipfe enclin'd Plane equal Expreffion exprefs fame Velocity felf fhall fhewn fimilar fince Foci Focus fome fore fuch fuftains fuppofed gonals Hyperbola Hypothefis Interfection laſt Law of Motion lefs Lemma Lines of Direction longer Axe Magnitude Momentum muſt oblique Strokes Parabola parallel Parallelogram Parameter Periodick perpendicular Pondus Power principal Vertex PROB Proportion Ratio compounded reciprocally rection reft requir'd to find reſpective Right Line ſhall ſhorter Axes Sine ſtanding Quantity ſtill Tangent thefe Theor Theorem theſe thofe thoſe thro tis plain tis requir'd Tranfverfe Axe Triangles univerfally Vectis Velocity whence whoſe wou'd
Populære avsnitt
Side 214 - If a body revolves in an ellipse (including the special case of a circle), it is required to find the law of the centripetal force tending to the focus of the ellipse.
Side 221 - And therefore the velocity in a conic section, at its greatest or least distance from the focus, is to the velocity in a circle, at the same distance from the centre, in the subduplicate ratio of the principal latus rectum to the double of that distance.
Side 163 - The spaces, described from rest by a body acted on by any finite force, are in the beginning of the motion as the squares of the times, in which they are described.
Side 220 - Orbs are in the Ratio compounded of the duplicate Ratio of the Velocities, and the duplicate Ratio of the Perpendiculars from the Focus to the Tangents.
Side 133 - ... of forces. PROPOSITION III. THEOREM III. Every body that by a radius drawn to the centre of another body, howsoever moved, describes areas about that centre proportional to the times is urged by a force compounded out of the centripetal force tending to that other body, and of all the accelerative force by which that other body is impelled.
Side 131 - Force acting upon it, by the firft Law of Motion. And that Force by which the Body is- made to...
Side 82 - Or, as our Great Authour exprefles it, when the Force by which the Wedge urges the two Sides of the cleft Bodies is to the Force of the Mallet upon the Wedge, as the Progrefs of the Wedge according to the Determination of the Force imprefs'd upon it, to the Velocity with which the Parts of the Body give way to the Wedge in Lines perpendicular to the Sides of the...
Side 85 - THE Quantity of Motion, that is gathered by taking the Sum of the Motions made towards the fame Part, and the Difference of thofe made towards the contrary Parts ^ is not altered by the Action of Bodies among/I themselves.
Side 129 - AreJs are not proportional to the Times, the Forces do not tend to the common Goncourfe of the Rays.