The Principles of Mechanics: Explaining and Demonstrating the General Laws of Motion, the Laws of Gravity, Motion of Descending Bodies, Projectiles, Mechanic Powers, Pendulums, Centres of Gravity, &c., Strength & Stress of Timber, Hydrostatics and Construction of MachinesOrlando Hodgson, 1836 - 320 pages |
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Page xxvii
... arches , stately theatres , columns , pendent galleries , and all other grand works in building . Also clocks , watches , jacks , cha- riots , carts and carriages , and even the wheel - barrow . Architec- ture , navigation , husbandry ...
... arches , stately theatres , columns , pendent galleries , and all other grand works in building . Also clocks , watches , jacks , cha- riots , carts and carriages , and even the wheel - barrow . Architec- ture , navigation , husbandry ...
Page 26
... applied at A puts the body A into motion , and by means of the balance , the body B ; then , since the brachia ( or arm ) of the beam CA and CB are equal , the arches Aa , Bb , described by these bodies , will SECTION THIRD. ...
... applied at A puts the body A into motion , and by means of the balance , the body B ; then , since the brachia ( or arm ) of the beam CA and CB are equal , the arches Aa , Bb , described by these bodies , will SECTION THIRD. ...
Page 27
... arches Wa , Pb be as the radii CW , CP ; that is , as the velocities of the weight and power . Whence , since P : W :: CW ; CP , therefore P : W :: velocity of W : velocity of P : therefore P x velocity of P = W X velocity of W ...
... arches Wa , Pb be as the radii CW , CP ; that is , as the velocities of the weight and power . Whence , since P : W :: CW ; CP , therefore P : W :: velocity of W : velocity of P : therefore P x velocity of P = W X velocity of W ...
Page 30
... arch DB rolled upon the equal arch BK , therefore the end D of the radius AD hath moved through an arch BD equal to the arch BK , through which K has moved . Therefore the points D , K , have equal velocities in any correspondent places ...
... arch DB rolled upon the equal arch BK , therefore the end D of the radius AD hath moved through an arch BD equal to the arch BK , through which K has moved . Therefore the points D , K , have equal velocities in any correspondent places ...
Page 31
... arch BK arch BD . Whence the weight or forces acting at the distances CB , AB , have equal velocities ; and , therefore , will sus- tain one another . Cor . 4. ( Fig . 26. Pl . II . ) If BC be infinite , or ( which is the same thing ) ...
... arch BK arch BD . Whence the weight or forces acting at the distances CB , AB , have equal velocities ; and , therefore , will sus- tain one another . Cor . 4. ( Fig . 26. Pl . II . ) If BC be infinite , or ( which is the same thing ) ...
Other editions - View all
The Principles of Mechanics: Explaining and Demonstrating the General Laws ... William Emerson No preview available - 2018 |
The Principles of Mechanics: Explaining and Demonstrating the General Laws ... William Emerson No preview available - 2023 |
Common terms and phrases
abscissa angle angular velocity applied arch axis axle beam body centre of gravity circle circumference cord curve cycloid cylinder density descend diameter distance draw drawn engine epicycloid equal equilibrio EXAMPLE fall feet fixed fluid force acting friction fulcrum given going greater Hence hole horizontal inches inclined plane iron latus rectum length lever line of direction machine mechanical move moveable number of teeth oblique parallel particle pendulum perpendicular pinion pipe piston placed plate pressure Prop proportion pulley pump quantity of matter quantity of motion radius raise reciprocally resistance right line roller rope round sails SCHOLIUM screw shew side sine spaces described specific gravity spring square strength stress strike suppose surface tooth tube turn valve velocity vessel vibrating vis viva water wheel weight wheel whilst whole wind wood
Popular passages
Page xxiv - And he made in Jerusalem engines, invented by cunning men, to be on the towers and upon the bulwarks, to shoot arrows and great stones withal.
Page vii - Queen ; in which he very early took delight to read, till by feeling the charms of verse, he became, as he relates, irrecoverably a poet. Such are the accidents which, sometimes remembered, and perhaps sometimes forgotten, produce that particular designation of mind, and propensity for some certain science or employment, which is commonly called Genius.
Page 147 - ... provided the elbow of one of the handles be at right angles to that of the other. And with a fly, or heavy wheel, applied to it, a man may do...
Page 34 - ... most compact and useful, perhaps, that has yet been invented. It consists of a number of concentric grooves, whose respective diameters are regulated by the quantity of cord which must pass over their peripheries in equal spaces of time. In this system and all others where a single cord is employed, the power is to the weight as .1 to the number of parts of the cord acting on the lower block, or as 1 to twice the number of pullies in the lower block, and as in the system shown by Fig. 24, the...
Page 127 - To shew that the resultant thrust on any plane surface under fluid pressure is equal to the weight of a column of the fluid whose base is the area of the surface and whose height is the depth of the centre of gravity of the surface.
Page 191 - ... centre of percussion is that point in a body revolving about an axis, at which, if it struck an immovable obstacle, all the motion of the body would be destroyed, so that it would incline neither way after the stroke.
Page xv - Being preceded and led by- a boy, hired for that purpose, he crawled in slow and solemn state, at the rate of a mile and a half in an hour, till in due time he arrived at Darlington, and was conducted, in the same state, to the great entertainment of the spectators, through the streets to the inn where he wished to refresh himself and his beast. What idea Emerson himself entertained of the velocity with which the animal could move, appears from this, that when a neighbour of his, from Hurworth, asked...
Page 73 - The distance of the centre of gyration from the point of suspension or the axis of motion, is a mean proportional between the distances of the centres of oscillation and gravity from the same point or axle.
Page xx - ... study, which he closely pursued in his native place through the course of a long life, being mostly very healthy, till towards the latter part of his days, when he was much afflicted with the stone : towards the close of the year 1781, being sensible of his approaching dissolution, he disposed of the whole of his mathematical library to a bookseller at York, and on May the 26th, 1782, his lingering and painful disorder put an end to his life at his native village, in the eighty-first year of...
Page xii - ... waistcoat, leaving all the rest open ; in wind, rain, or snow, therefore, he must have found the aperture at the breast inconvenient if his shirt had been put on in the usual manner. When he...