The mechanical Euclid, containing the elements of mechanics and hydrostatics1837 |
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Página 30
... particles , the weight of each of which is as the portion of the body which it occupies , and which may be considered as heavy points . POSTULATES . 1. A prism or cylinder of uniform density , and of given length , may be taken , which ...
... particles , the weight of each of which is as the portion of the body which it occupies , and which may be considered as heavy points . POSTULATES . 1. A prism or cylinder of uniform density , and of given length , may be taken , which ...
Página 51
... particle of the body is known by drawing from the particle a vertical line meeting the horizontal plane which passes through the axis . The perpendicular drawn to the axis from the point where the vertical line meets the horizontal ...
... particle of the body is known by drawing from the particle a vertical line meeting the horizontal plane which passes through the axis . The perpendicular drawn to the axis from the point where the vertical line meets the horizontal ...
Página 61
... particles , meeting the horizontal plane in points as A , B. Draw ALM , BNO , perpendicular to HK or GF , and let P , Q be the weights of the particles from which the vertical lines fall at A and B on opposite sides of the lines GF , HK ...
... particles , meeting the horizontal plane in points as A , B. Draw ALM , BNO , perpendicular to HK or GF , and let P , Q be the weights of the particles from which the vertical lines fall at A and B on opposite sides of the lines GF , HK ...
Página 62
... particles of the body with respect to the line GF , instead of HK , each of the moments on the side A , as P × AM , is diminished by P x LM , so as to become P × AL ; and each of the moments on the side B , as Q × BN , is in- creased by ...
... particles of the body with respect to the line GF , instead of HK , each of the moments on the side A , as P × AM , is diminished by P x LM , so as to become P × AL ; and each of the moments on the side B , as Q × BN , is in- creased by ...
Página 64
... particles P , Q of the body , meeting those planes in A , B , A B and let HK , AM , BN be drawn perpendicular to EF , and HL parallel to EF . The effect of the body in producing equilibrium depends upon the excess of the moments such as ...
... particles P , Q of the body , meeting those planes in A , B , A B and let HK , AM , BN be drawn perpendicular to EF , and HL parallel to EF . The effect of the body in producing equilibrium depends upon the excess of the moments such as ...
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.