The mechanical Euclid, containing the elements of mechanics and hydrostatics1837 |
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Página 72
... tube of which the two ends are similar and equal planes , two equal pressures applied per- pendicularly at the two ends will balance each other . Let ABCD be the tube , AB , CD its two equal ends : the equal forces P , Q , acting B ...
... tube of which the two ends are similar and equal planes , two equal pressures applied per- pendicularly at the two ends will balance each other . Let ABCD be the tube , AB , CD its two equal ends : the equal forces P , Q , acting B ...
Página 74
... tube of which the two ends are similar and equal planes , and if two forces applied per- pendicularly at the two ends balance each other , the forces are equal . Let ABCD✶ be the tube , AB , CD its two equal ends ; P , Q the two forces ...
... tube of which the two ends are similar and equal planes , and if two forces applied per- pendicularly at the two ends balance each other , the forces are equal . Let ABCD✶ be the tube , AB , CD its two equal ends ; P , Q the two forces ...
Página 75
... tube ACBD be imagined , passing from AB to CD . Let the portions of the B S H E F R C M fluid , ACL , BDN become rigid ; then , by Axiom 2 , the forces P , Q still balance each other ; but by Prop . 1 , in this case the forces P , Q are ...
... tube ACBD be imagined , passing from AB to CD . Let the portions of the B S H E F R C M fluid , ACL , BDN become rigid ; then , by Axiom 2 , the forces P , Q still balance each other ; but by Prop . 1 , in this case the forces P , Q are ...
Página 81
... so on Z C D M H L E F B A if necessary ; we shall in this way arrive at the upper surface of the fluid . Draw HM , NP , so as to com- Also plete the zigzag tube ABEMO which passes from the D 5 BOOK II . HYDROSTATICS . 81.
... so on Z C D M H L E F B A if necessary ; we shall in this way arrive at the upper surface of the fluid . Draw HM , NP , so as to com- Also plete the zigzag tube ABEMO which passes from the D 5 BOOK II . HYDROSTATICS . 81.
Página 82
William Whewell. Also plete the zigzag tube ABEMO which passes from the plane AB to the upper surface of the fluid . the surfaces EF , FG , KL , LM , are all equal to AB . In the same manner as in Prop . 7 , it appears that the pressure ...
William Whewell. Also plete the zigzag tube ABEMO which passes from the plane AB to the upper surface of the fluid . the surfaces EF , FG , KL , LM , are all equal to AB . In the same manner as in Prop . 7 , it appears that the 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.