The Elements of Mechanics: Comprehending Statics and Dynamics. With a Copious Collection of Mechanical Problems. Intended for the Use of Mathematical Students in Schools and Universities ...
Carey, Lea & Blanchard, 1834 - 258 pages
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a₁ acceleration angle angular velocity applied axis axle beam Calc calling catenary centre of gravity centrifugal force circumference co-ordinates components concurring forces consequently consider cord curve determine the centre diagonal differential direction distance dx dy dy dx ellipse equa equations of equilibrium equilibrium expression fixed point forces acting funicular given weight hence horizontal line hyperbola inclined plane inertia intensity length lever mass moment of inertia motion move multiplied obviously opposite oscillation P₁ P₂ parallel forces parallelopiped particle pendulum perpendicular plane of xy point of application points of suspension polygon position pressure PROBLEM projection pulley radius rectangular axes rection represent resistance respect rest resultant rhombus sides space string substituting suppose surface suspended tangent tendency tension theory three forces three rectangular tion triangle velocity W₁ wheel whole
Page 257 - On the Power, Wisdom, and Goodness of God, as manifested in the Creation ; illustrating such work by all reasonable arguments ; as for instance the variety and formation of God's creatures in the animal, vegetable, and mineral kingdoms ; the effect of digestion, and thereby of conversion ; the construction of the hand of man, and an infinite variety of other arguments ; as also by discoveries ancient and modern, in arts, sciences, and the whole extent of literature.
Page 169 - The third law teaches that, in the motion of the planets, the squares of the times of revolution are as the cubes of the mean distances from the sun...
Page 99 - ... either elevated by the power P, or, as in fig. 37, passes over a second pulley to be drawn up from below. In the fixed pulleys, which are properly nothing more than means for changing the direction of motion, the weight must be equal to the power ; in the movable, however, another condition occurs. Here the power is to the weight as the radius of the pulley to the chord of the arc of the pulley embraced by the rope. The most advantageous case is exhibited when the two sides of the rope are parallel,...
Page 257 - Professor of Divinity in the University of Edinburgh. II. The Adaptation of External Nature to the Physical Condition of Man.
Page 257 - ... accruing dividends thereon, to be held at the disposal of the President, for the time being of the Royal Society of London, to be paid to the person or persons nominated by him. The Testator...
Page 260 - This volume has been lately published in England, as a part of Dr. Lardner's Cabinet Cyclopaedia, and has received the unsolicited approbation of the most eminent men of science, and the most discriminating journals and reviews, in the British metropolis.— It is written in a popular and intelligible style, entirely free from mathematical symbols, and disencumbered...