The mechanical Euclid, containing the elements of mechanics and hydrostatics1837 |
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Side 23
... opposite to the equal angles are homologous sides ; that is , are the antecedents or consequents of the ratios . COR . to Prop . IV . Since it has been shewn ( Lemma 2 ) that when quantities are proportionals geometrically , they are ...
... opposite to the equal angles are homologous sides ; that is , are the antecedents or consequents of the ratios . COR . to Prop . IV . Since it has been shewn ( Lemma 2 ) that when quantities are proportionals geometrically , they are ...
Side 26
... opposite forces which balance each other are equal . Forces are directly opposite when they act in the same straight line in opposite directions . 8 . Forces are capable of addition . Thus , MECHANICS PAGE 1 6 7.
... opposite forces which balance each other are equal . Forces are directly opposite when they act in the same straight line in opposite directions . 8 . Forces are capable of addition . Thus , MECHANICS PAGE 1 6 7.
Side 28
... opposite to the action . 2. If two equal forces act perpendicularly at the ex- tremities of equal arms of a straight lever to turn it op- posite ways , they will keep each other in equilibrium . If AC BC , and P and Q be two equal ...
... opposite to the action . 2. If two equal forces act perpendicularly at the ex- tremities of equal arms of a straight lever to turn it op- posite ways , they will keep each other in equilibrium . If AC BC , and P and Q be two equal ...
Side 33
... opposite sides of the fulcrum , are inversely as their distances from the fulcrum , they will balance each other ; and the pressure on the fulcrum will be equal to their sum . Let P , Q be the two weights , MCN the lever . Let NC be the ...
... opposite sides of the fulcrum , are inversely as their distances from the fulcrum , they will balance each other ; and the pressure on the fulcrum will be equal to their sum . Let P , Q be the two weights , MCN the lever . Let NC be the ...
Side 34
... opposite sides of the fulcrum balance each other , they are inversely as their distances from the fulcrum . on Let P , Q , be two weights which balance each other the lever MCN ; then NC CM :: P : Q. M G Р If not , let NC : CM : P : Y ...
... opposite sides of the fulcrum balance each other , they are inversely as their distances from the fulcrum . on Let P , Q , be two weights which balance each other the lever MCN ; then NC CM :: P : Q. M G Р If not , let NC : CM : P : Y ...
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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.