The mechanical Euclid, containing the elements of mechanics and hydrostatics1837 |
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Página vi
... facts , appeared to me to afford a favourable opportunity of giving , if possible , greater precision to the phrase , so com- monly employed , of Reasoning by Induction . In order to mark as distinctly as I could the nature of this ...
... facts , appeared to me to afford a favourable opportunity of giving , if possible , greater precision to the phrase , so com- monly employed , of Reasoning by Induction . In order to mark as distinctly as I could the nature of this ...
Página 100
... facts included in this induction are such as the following : : - ( 1 ) . Water falls in air as solid bodies do . ( 2 ) . A bucket of water held in air is heavy and requires to be supported in the same manner solid body . as a ( 3 ) . A ...
... facts included in this induction are such as the following : : - ( 1 ) . Water falls in air as solid bodies do . ( 2 ) . A bucket of water held in air is heavy and requires to be supported in the same manner solid body . as a ( 3 ) . A ...
Página 101
... Facts of the nature of ( 5 ) are explained by con- sidering that an equal pressure is exerted on all parts of the organised structure in opposite directions ; such pressures balance each other , and no injury re- sults to the structure ...
... Facts of the nature of ( 5 ) are explained by con- sidering that an equal pressure is exerted on all parts of the organised structure in opposite directions ; such pressures balance each other , and no injury re- sults to the structure ...
Página 102
... facts ( 1 ) and ( 2 ) were explained at first by saying that the proper place of air is above water ; that when it is in its proper place , as in ( 1 ) , it does not gravitate ( as in Prop . 25 ) , but that when it is below its proper ...
... facts ( 1 ) and ( 2 ) were explained at first by saying that the proper place of air is above water ; that when it is in its proper place , as in ( 1 ) , it does not gravitate ( as in Prop . 25 ) , but that when it is below its proper ...
Página 103
William Whewell. But all the facts were distinctly explained and rigorously deduced adopting the Idea of fluid press- ure , and the Principle that air has weight , its weight producing its effects according to the laws of fluid pressure ...
William Whewell. But all the facts were distinctly explained and rigorously deduced adopting the Idea of fluid press- ure , and the Principle that air has weight , its weight producing its effects according to the laws of fluid pressure ...
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.