The mechanical Euclid, containing the elements of mechanics and hydrostatics1837 |
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Página 118
... falling downwards go on moving quicker and quicker as they fall farther . It was attempted to explain these facts , by saying that motions such as ( 1 ) are forced motions , and motions such as ( 2 ) are natural motions ; and that ...
... falling downwards go on moving quicker and quicker as they fall farther . It was attempted to explain these facts , by saying that motions such as ( 1 ) are forced motions , and motions such as ( 2 ) are natural motions ; and that ...
Página 120
... falling directly downwards fall quicker and quicker as they descend . It was inferred , as we have seen in the last propo- sition , that the additions of velocity in the falling bodies are caused by gravity . An attempt was made to ...
... falling directly downwards fall quicker and quicker as they descend . It was inferred , as we have seen in the last propo- sition , that the additions of velocity in the falling bodies are caused by gravity . An attempt was made to ...
Página 124
... the latter space is half the former . Q. E. D. COR . 1. A body falling from rest by the uniform force of gravity , describes 16 feet in one second . Therefore with the velocity acquired it would de- scribe 32 124 MECHANICS . 26.
... the latter space is half the former . Q. E. D. COR . 1. A body falling from rest by the uniform force of gravity , describes 16 feet in one second . Therefore with the velocity acquired it would de- scribe 32 124 MECHANICS . 26.
Página 131
... falling down the plane is the same as that acquired by falling freely down the vertical height of the plane ( Galileo's experiment ) . ( 3 ) . When two bodies P , Q * hang over a fixed pully , the heavier P descends , and the velocity ...
... falling down the plane is the same as that acquired by falling freely down the vertical height of the plane ( Galileo's experiment ) . ( 3 ) . When two bodies P , Q * hang over a fixed pully , the heavier P descends , and the velocity ...
Página 133
... falling down the plane is to the time of falling freely down the vertical height of the plane as the length of the plane to its height . Let L be the length of the plane , H its height . The pressure which urges a body down an inclined ...
... falling down the plane is to the time of falling freely down the vertical height of the plane as the length of the plane to its height . Let L be the length of the plane , H its height . The pressure which urges a body down an inclined ...
Otras ediciones - Ver todas
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.