The mechanical Euclid, containing the elements of mechanics and hydrostatics1837 |
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Página 17
... appears that if either of these latter be constant , the first varies as the other , when they both vary , the first varies as their product . Thus , if V be the velocity of a body moving uniformly , T the time of motion , and S the ...
... appears that if either of these latter be constant , the first varies as the other , when they both vary , the first varies as their product . Thus , if V be the velocity of a body moving uniformly , T the time of motion , and S the ...
Página 50
... appear , by the reasoning of Prop . 8 , that there will still be an equilibrium if their moments are equal . COR . 3. If several forces acting upon a body moveable about a fixed axis , and acting in planes per- pendicular to the axis ...
... appear , by the reasoning of Prop . 8 , that there will still be an equilibrium if their moments are equal . COR . 3. If several forces acting upon a body moveable about a fixed axis , and acting in planes per- pendicular to the axis ...
Página 53
... appears by the reasoning of Prop . 17 , that P : force of string BC :: 1 : 2 ; force of string BC force of string DE :: 1 : 2 ; : force of string DE force of string FW :: 1 : 2 . P And there will be as many such propor- tions as there ...
... appears by the reasoning of Prop . 17 , that P : force of string BC :: 1 : 2 ; force of string BC force of string DE :: 1 : 2 ; : force of string DE force of string FW :: 1 : 2 . P And there will be as many such propor- tions as there ...
Página 66
... appear by comparing the moments in the two cases . COR . 2. The effect of the body to disturb equi- librium about a line will be the same as if the body were collected at its center of gravity G. For the effect to disturb equilibrium is ...
... appear by comparing the moments in the two cases . COR . 2. The effect of the body to disturb equi- librium about a line will be the same as if the body were collected at its center of gravity G. For the effect to disturb equilibrium is ...
Página 82
... appears that the pressure upon ML is as ML x LO , that is , as AB × LO . Therefore supposing the particle MK to be without weight , since KL is equal to LM , by Prop . 2 , the pressure upon KL is also equal to AB × LO , and therefore ...
... appears that the pressure upon ML is as ML x LO , that is , as AB × LO . Therefore supposing the particle MK to be without weight , since KL is equal to LM , by Prop . 2 , the pressure upon KL is also equal to AB × LO , and therefore ...
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.