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 86
... TUBE OR HOLLOW CANE AB , TO THAT OF A SOLID ONE CD , IS AS THE SECTION OF THE TUBE ( EX- CLUDING THE HOLLOW , ) TO THE SECTION OF THE SOLID CANE , AND THE WHOLE DIAMETER OF THE TUBE TO THE DIAMETER OF THE SOLID CANE , NEARLY . For ...
... TUBE OR HOLLOW CANE AB , TO THAT OF A SOLID ONE CD , IS AS THE SECTION OF THE TUBE ( EX- CLUDING THE HOLLOW , ) TO THE SECTION OF THE SOLID CANE , AND THE WHOLE DIAMETER OF THE TUBE TO THE DIAMETER OF THE SOLID CANE , NEARLY . For ...
Page 87
... tube strength of an equal circle :: AF : R. And the strength of R to that of CH :: R : GH3 . Therefore , ex equo , strength of the tube BF : strength of the cylinder HD :: AFX R3 : RX CH3 :: AF × R2 : CHXCH2 :: AF × area ring : CH x ...
... tube strength of an equal circle :: AF : R. And the strength of R to that of CH :: R : GH3 . Therefore , ex equo , strength of the tube BF : strength of the cylinder HD :: AFX R3 : RX CH3 :: AF × R2 : CHXCH2 :: AF × area ring : CH x ...
Page 109
... tube BC , and if any liquor be poured into one AB , it will rise to the same height in the other CD , and will stand at equal heights in both ; that is , AD will be a horizontal line . For if the fluid stand at unequal heights , the ...
... tube BC , and if any liquor be poured into one AB , it will rise to the same height in the other CD , and will stand at equal heights in both ; that is , AD will be a horizontal line . For if the fluid stand at unequal heights , the ...
Page 110
... tube , sinks in it , and has its surface depressed below the common surface , to depths which are reciprocally as the di- ameters of the tubes . But the forces by which fluids are suspend- ed in capillary tubes come under no hydrostatic ...
... tube , sinks in it , and has its surface depressed below the common surface , to depths which are reciprocally as the di- ameters of the tubes . But the forces by which fluids are suspend- ed in capillary tubes come under no hydrostatic ...
Page 122
... TUBE , PIPE , OR CANAL , AND ALWAYS FILLS IT , ITS VELOCITY IN ANY PLACE WILL BE RECIPROCALLY AS THE AREA OF THE SECTION IN THAT PLACE . Let AB , CD be two sections at A and C ; and let the quan- tity of the fluid ABDC , in a very small ...
... TUBE , PIPE , OR CANAL , AND ALWAYS FILLS IT , ITS VELOCITY IN ANY PLACE WILL BE RECIPROCALLY AS THE AREA OF THE SECTION IN THAT PLACE . Let AB , CD be two sections at A and C ; and let the quan- tity of the fluid ABDC , in a very small ...
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...