The mechanical Euclid, containing the elements of mechanics and hydrostatics1837 |
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Side 30
... supposed to be composed of a row of heavy points of equal weight , uniformly distributed along the line . 15. A heavy material plane of uniform density may be supposed to be composed of a collection of parallel straight lines of equal ...
... supposed to be composed of a row of heavy points of equal weight , uniformly distributed along the line . 15. A heavy material plane of uniform density may be supposed to be composed of a collection of parallel straight lines of equal ...
Side 39
... . The lever ACB is supposed to be rigid , so that AC , BC cannot alter their relative position . Hence we may suppose the plane ACB to be a rigid in- definite plane , moveable about the point C , and BOOK I. STATICS . 39.
... . The lever ACB is supposed to be rigid , so that AC , BC cannot alter their relative position . Hence we may suppose the plane ACB to be a rigid in- definite plane , moveable about the point C , and BOOK I. STATICS . 39.
Side 40
... supposed that the weights P , Q , acting at A , B , balance each other upon the lever when it is in the horizontal position ACB ; the weights P , Q will balance each other upon the same lever in position , 40 MECHANICS .
... supposed that the weights P , Q , acting at A , B , balance each other upon the lever when it is in the horizontal position ACB ; the weights P , Q will balance each other upon the same lever in position , 40 MECHANICS .
Side 44
... supposed that Px CM = ux Cm , and Q × CN = v × Cn , and Xx CO : = x × Cm ; hence the remainder YX CO is = yx Cn ; and the pairs Y , y will balance each other . Therefore the forces have been separated into pairs , P , u ; Q , v ; X , x ...
... supposed that Px CM = ux Cm , and Q × CN = v × Cn , and Xx CO : = x × Cm ; hence the remainder YX CO is = yx Cn ; and the pairs Y , y will balance each other . Therefore the forces have been separated into pairs , P , u ; Q , v ; X , x ...
Side 46
... supposed to be moveable about the point C , they will balance each other , producing a pressure on the fulcrum C. Therefore the single force which produces the same effect as P , Q will produce a pressure upon the point C , but will not ...
... supposed to be moveable about the point C , they will balance each other , producing a pressure on the fulcrum C. Therefore the single force which produces the same effect as P , Q will produce a pressure upon the point C , but will not ...
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The Mechanical Euclid, Containing the Elements of Mechanics and Hydrostatics William Whewell Ingen forhåndsvisning tilgjengelig - 2015 |
Vanlige uttrykk og setninger
ABCD Accelerating Force algebraical quantities Axioms of Statics axis balance body falling body moving center of gravity column of fluid deductive deductive reasoner definition density destroy direction equilibrium exerted fluid displaced forces acting fulcrum Geometry heavy fluid Hence horizontal plane horizontal pressures hydrostatic balance Hydrostatics idea immersed inclined plane INDUCTIVE PRINCIPLE lever magnitude manner mathematical mercury opposite P's velocity parallel particle perpendicular piston portions pressure on LM prism produce proportion pully Q. E. D. PROP quantity of matter ratio reasoning represent rest right angle SCHOLIUM sides space described specific gravity straight line string supposed surface pressed tical tions triangles truth tube uniform force University of Cambridge upper surface valve velocity acquired vertical column vertical line vessel weight
Populære avsnitt
Side 22 - A plane is perpendicular to a plane, when the straight lines drawn in one of the planes perpendicular to the common section of the two planes, are perpendicular to the other plane. 5. The inclination of a straight line to a plane...
Side 46 - If three forces, represented in magnitude and direction by the sides of a triangle, act on a point, they will keep it at rest.
Side 9 - Sacred History, from the Creation of the World to the Destruction of Jerusalem. With Questions for Examination.
Side 18 - ... if the multiple of the first be equal to that of the second, the multiple of the third is also equal to that of the fourth : or, if the multiple of the first be greater than that of the second, the multiple of the third is also greater than that of the fourth.
Side 47 - 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.
Side 20 - IF a straight line be drawn parallel to one of the sides of a triangle, it shall cut the other sides, or those produced, proportionally; and if the sides, or the sides produced, be cut proportionally, the straight line which joins the points of section shall be parallel to the remaining side of the triangle...
Side 97 - ... gravity of the fluid : the specific gravity of the body. Prop. 10. To describe the hydrostatic balance, and to shew how to find the specific gravity of a body by means of it, 1st, when its specific gravity is greater than that of the fluid in which it is weighed ; 2ndly, when it is less.