Outlines of Natural Philosophy: Being the Heads of a Course of Lectures, Delivered in Columbia College, New-York, المجلد 1

الغلاف الأمامي
C.S. Van Winkle, 1822
 

الصفحات المحددة

عبارات ومصطلحات مألوفة

مقاطع مشهورة

الصفحة 26 - There is an equilibrium upon the wheel and axle, when the power is to the weight, as the radius of the axle to the radius of the wheel.
الصفحة 56 - The product of the mass of a body into the square of its velocity is what has been called the Vis Viva of the body.
الصفحة 26 - And then, in case of an equilibrium, the power is to the weight, as the continual product of the radii of all the axles, to that of all the wheels. So, if the power p...
الصفحة 13 - If three forces acting at a point are in equilibrium they can be represented in magnitude and direction by the three sides of a triangle taken in order.
الصفحة 64 - ... observed that this investigation, as well as the inverse problem for the case of rectilinear motion in the preceding section, is conducted more analytically than the greater part of the Principia, the reasoning of the demonstration conducting to the solution and not following it synthetically. A is the height from which a body must fall to acquire the velocity at any point D, which the given body moving in the trajectory VIK (sought by the investigation) has at the corresponding point I ; DI,...
الصفحة 7 - In experimental philosophy, propositions collected from the phenomena by induction, are to be deemed {notwithstanding contrary hypotheses) either exactly, or very nearly true, till other phenomena occur, by which they may be rendered more accurate, or liable to exception.
الصفحة 28 - When the direction of the power is parallel to the plane, equilibrium exists when the power is to the weight as the height of the plane to its length, or as the sine of the plane's inclination to the radius.
الصفحة 70 - ... half the length of the pendulum as the circumference of a circle is to its diameter.
الصفحة 57 - B (b'—b) ; and since a -f- a' = b' + b, [75] therefore A («* - a71) = B (b'* + I,1}, or A a* + B 6* = A a'* + B b"1. ' See another demonstration, Maclaurin's Account of Newton's Discoveries, Book ii. chap. iv. § 12. ' 77. If between two unequal elastic bodies A and C, a third B be interposed; . and if the least A, be made to strike with any given velocity on B, the motion communicated to C will be the greatest possible, when B is a mean proportional between A and C. It is easily shewn from §...
الصفحة 66 - The force which accelerates the motion of a body down an inclined plane is to the force of gravity as the height of the plane is to its length, or as the sine of the angle of the plane's inclination to radius.

معلومات المراجع