The mechanical Euclid, containing the elements of mechanics and hydrostatics1837 |
Dentro del libro
Resultados 1-5 de 21
Página 27
... supported by the string . 9. A force is twice as great as a given force , when it is the sum of two others , each equal to the given force ; a force is three times as great , when it is the sum of three such forces ; and so on . 10 ...
... supported by the string . 9. A force is twice as great as a given force , when it is the sum of two others , each equal to the given force ; a force is three times as great , when it is the sum of three such forces ; and so on . 10 ...
Página 28
... supported upon a straight lever on two fulcrums at equal distances from the weights , the pressures upon the two fulcrums are together equal to the sum of the weights .只 CA R If P , Q be two equal weights which are sup- ported upon the ...
... supported upon a straight lever on two fulcrums at equal distances from the weights , the pressures upon the two fulcrums are together equal to the sum of the weights .只 CA R If P , Q be two equal weights which are sup- ported upon the ...
Página 30
... supported , whatever be its magnitude . 14. A heavy material straight line , prism , or cylinder , of uniform density , may be supposed to be composed of a row of heavy points of equal weight , uniformly distributed along the line . 15 ...
... supported , whatever be its magnitude . 14. A heavy material straight line , prism , or cylinder , of uniform density , may be supposed to be composed of a row of heavy points of equal weight , uniformly distributed along the line . 15 ...
Página 31
... supported by two forces P , Q , acting vertically at equal distances CA , CB ; and these forces will be equal ; and the weight R is equal to the sum of P and Q. Q. E. D. * PROP . II . A horizontal prism or cylinder of uniform density ...
... supported by two forces P , Q , acting vertically at equal distances CA , CB ; and these forces will be equal ; and the weight R is equal to the sum of P and Q. Q. E. D. * PROP . II . A horizontal prism or cylinder of uniform density ...
Página 51
... supported . * PROP . XVII . In the single moveable pully , where the strings are parallel , there is an equili- brium when the power is to the weight as 1 to 2 . Let ABC represent a pully in which B is the block , AC the sheave , and in ...
... supported . * PROP . XVII . In the single moveable pully , where the strings are parallel , there is an equili- brium when the power is to the weight as 1 to 2 . Let ABC represent a pully in which B is the block , AC the sheave , and in ...
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.