The mechanical Euclid, containing the elements of mechanics and hydrostatics1837 |
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Side viii
... effect of mixed Mathematics as a discipline is , I conceive , likely to be far better answered by the more rigorous scheme of Mechanics which the University has sanctioned , than by such a treatment of the subject as was then presented ...
... effect of mixed Mathematics as a discipline is , I conceive , likely to be far better answered by the more rigorous scheme of Mechanics which the University has sanctioned , than by such a treatment of the subject as was then presented ...
Side 26
... effects . 6. STATICS is the science which treats of the laws of forces in equilibrium . 7. Two directly opposite forces which balance each other are equal . Forces are directly opposite when they act in the same straight line in ...
... effects . 6. STATICS is the science which treats of the laws of forces in equilibrium . 7. Two directly opposite forces which balance each other are equal . Forces are directly opposite when they act in the same straight line in ...
Side 27
... effect . 12. The quantities of matter of two bodies are as their weights at the same place . 13. The Density of a body is measured by the quantity of matter contained in a given space . 14. A LEVER is a rigid rod , moveable , in one ...
... effect . 12. The quantities of matter of two bodies are as their weights at the same place . 13. The Density of a body is measured by the quantity of matter contained in a given space . 14. A LEVER is a rigid rod , moveable , in one ...
Side 29
... effect to turn the lever round C in the two cases is equal . 8. When a force acts upon a rigid body it will produce the same effect to urge the body in the line of its own direction , at whatever point of the direction it acts . 9. If a ...
... effect to turn the lever round C in the two cases is equal . 8. When a force acts upon a rigid body it will produce the same effect to urge the body in the line of its own direction , at whatever point of the direction it acts . 9. If a ...
Side 31
... P and Q. Q. E. D. * PROP . II . A horizontal prism or cylinder of uniform density will produce the same effect by its weight as if it were collected at its middle point . Let AB be the prism or cylinder , and C BOOK I. STATICS . 31.
... P and Q. Q. E. D. * PROP . II . A horizontal prism or cylinder of uniform density will produce the same effect by its weight as if it were collected at its middle point . Let AB be the prism or cylinder , and C BOOK I. STATICS . 31.
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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.