The mechanical Euclid, containing the elements of mechanics and hydrostatics1837 |
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Página iv
... Uniform Force of Gravity , and its Consequences .. The Second Law of Motion , and its Consequences The Third Law of Motion , and its Consequences Examples ... 105 107 109 110 111 113 116 118 119 125 131 140 REMARKS . Sect . 1. On the ...
... Uniform Force of Gravity , and its Consequences .. The Second Law of Motion , and its Consequences The Third Law of Motion , and its Consequences Examples ... 105 107 109 110 111 113 116 118 119 125 131 140 REMARKS . Sect . 1. On the ...
Página 25
... uniform prism the weight is as the solid content ; hence the weight of any portion of a uniform prism is proportional to its length . LEMMA 7. If a prism be cut by two planes pass- ing through any point of its length , one of the planes ...
... uniform prism the weight is as the solid content ; hence the weight of any portion of a uniform prism is proportional to its length . LEMMA 7. If a prism be cut by two planes pass- ing through any point of its length , one of the planes ...
Página 30
... uniform density , may be supposed to be composed of a row of heavy points of equal weight , uniformly distributed along the line . 15. A heavy material plane of uniform density may be supposed to be composed of a collection of parallel ...
... uniform density , may be supposed to be composed of a row of heavy points of equal weight , uniformly distributed along the line . 15. A heavy material plane of uniform density may be supposed to be composed of a collection of parallel ...
Página 31
... of P and Q. Q. E. D. * PROP . II . A horizontal prism or cylinder of uniform density will produce the same effect by its weight as if it were collected at its middle point . Let AB be the prism or cylinder , and C BOOK I. STATICS . 31.
... of P and Q. Q. E. D. * PROP . II . A horizontal prism or cylinder of uniform density will produce the same effect by its weight as if it were collected at its middle point . Let AB be the prism or cylinder , and C BOOK I. STATICS . 31.
Página 33
... uniform prism is collected at its middle point , it produces the same effect by its weight as it did before . Q. E.D. COR . 1. A uniform prism or cylinder will balance itself upon its middle point . COR . 2 . When a prism or cylinder ...
... uniform prism is collected at its middle point , it produces the same effect by its weight as it did before . Q. E.D. COR . 1. A uniform prism or cylinder will balance itself upon its middle point . COR . 2 . When a prism or cylinder ...
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.