An introduction to natural philosophy or, Philosophical lectures. To which are added. The demonstrations of monsieur Huygen's Theorems, concerning the centrifugal force and circular motion. Transl1745 |
Common terms and phrases
abfolute alfo Angle Animalcule Arch arifes Axis becauſe betwixt cafe Caufe Celerity Center of Gravity Centrifugal Force Circle Circumference common Center confequently contrary Cubical Parabola Curve Cycloid Defcent defcribed demonftrated Diameter Diſtance divifible E. D. Cor Earth eaſily Elaftick equal fame manner fame Velocity fhall fhewn fhould fince finite firft firſt fome Force of Gravity fubduplicate Ratio fuch fuppofe given heavy Body Impetus impreffed Impulſe inclined Plane increaſed infinite Number infinitely fmall infinitum interfect itſelf Latus Rectum lefs Length likewife Magnitude manifeft Momentum moveable Body moving Body muſt neceffary Parabola Particles Pendulum Perpendicular Philofophers Point Quantity of Matter Quantity of Motion raiſe reafon Rectangle Refiftance refpectively reft remain the fame reprefented right Line A B Sine Skrew ſmall Space paffed Stroke Superficies thefe themſelves Theor theſe thofe thoſe Veffel Velocity acquired Weight whence whereby wherefore wherein wherewith whofe
Popular passages
Page 45 - If a body moves, it must move either in the place where it is, or in the place where it is not : but either of these is impossible : therefore it cannot move.
Page 76 - If, therefore, the axis of the earth were perpendicular to the plane of its orbit, the...
Page 221 - For since the time of vibration is to the time of descent through half the length of the pendulum, as the circumference of a circle to its diameter, that is, as 3.14159 to 1?
Page 100 - The mechanical advantage of the wheel and axle, or crane, is as the velocity of the weight to the velocity of the power ; and, being only a modification of the first kind of lever, it of course partakes of the same principles.
Page 279 - Sections, and their % Ufe, for refolving of Equations in determinate and indeterminate Problems, being the pofthumous Work of the . Marquis de I'Hofpital.
Page 280 - Undertakings , Studies and Labours OF THE INGENIOUS. In many Confiderable Parts of the Wo RL D.
Page 183 - The force which accelerates tho motion of a heavy body on an inclined plane is to the force of gravity as the sine of the inclination of the plane to the radius, or as the height of the plane to its length. Iff— force accelerating the body on an inclined plane, of which the inclination is i, and if z = force of gravity, it will be found that f = gx sine t.
Page 45 - Parmenides, pretended to be so invincible, one of them was to prove there can be no such thing as motion, since a thing can neither move in the place where it is, nor in the place where it is not. But this...
Page 231 - Corollaries and Scholium, for Constant Forces, are true in the Motions of Bodies freely descending by their own Gravity; namely, that the velocities are as the Times, and the Spaces as the Squares of the Times, or as the Squares of the Velocities. FOR, since the force of gravity is uniform, and constantly the same, at all places near the earth's surface, or at nearly the same...