The mechanical Euclid, containing the elements of mechanics and hydrostatics1837 |
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Página 26
... equilibrium ; they destroy each other's 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 ...
... equilibrium ; they destroy each other's 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 ...
Página 27
... lever is called a straight lever ; otherwise it is called a bent lever . 17. The lever is supposed to be without weight , unless the contrary be expressed . B 2 AXIOMS . 1. In a system which is in equilibrium BOOK I. STATICS . 27 8 9 10 11.
... lever is called a straight lever ; otherwise it is called a bent lever . 17. The lever is supposed to be without weight , unless the contrary be expressed . B 2 AXIOMS . 1. In a system which is in equilibrium BOOK I. STATICS . 27 8 9 10 11.
Página 28
... equilibrium . If AC BC , and P and Q be two equal forces acting perpendicularly on CA and = CB at A and B , they will balance each other . 3. If forces keep each other in equilibrium , and if any force be added to one of them , it will ...
... equilibrium . If AC BC , and P and Q be two equal forces acting perpendicularly on CA and = CB at A and B , they will balance each other . 3. If forces keep each other in equilibrium , and if any force be added to one of them , it will ...
Página 29
... equilibrium , there be substituted for the force acting at any point , an im- moveable fulcrum at that point , the equilibrium will not be disturbed . 12. If in a system which is in equilibrium there BOOK I. STATICS . 29.
... equilibrium , there be substituted for the force acting at any point , an im- moveable fulcrum at that point , the equilibrium will not be disturbed . 12. If in a system which is in equilibrium there BOOK I. STATICS . 29.
Página 30
William Whewell. 12. If in a system which is in equilibrium there be substituted for an immoveable point or fulcrum the force which the fulcrum exerts , the equilibrium will not be disturbed . 13. A perfectly hard and smooth surface ...
William Whewell. 12. If in a system which is in equilibrium there be substituted for an immoveable point or fulcrum the force which the fulcrum exerts , the equilibrium will not be disturbed . 13. A perfectly hard and smooth surface ...
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The Mechanical Euclid, Containing the Elements of Mechanics and Hydrostatics William Whewell Sin vista previa disponible - 2015 |
Términos y frases comunes
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
Pasajes populares
Página 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...
Página 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.
Página 9 - Sacred History, from the Creation of the World to the Destruction of Jerusalem. With Questions for Examination.
Página 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.
Página 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.
Página 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...
Página 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.