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The mechanical Euclid: containing the elements of mechanics and hydrostatics ...
Vista completa - 1837
Accelerating Force algebraical algebraical quantities axis body falling body moving center of gravity column of fluid deductive Deductive Reasoning definition denominator effect elastic equilibrium exerted facts fixed point fluid displaced force Q fore fraction fulcrum geometric progression Geometry heavy fluid Hence horizontal plane Hydrostatics idea immersed inclined plane Inductive Principle Lemma magnitude manner mathematical mercury moveable multiplied Octavo parallel particles perpendicular piston portions position pressure upwards prism produce Prop proportion proposition pully Q act ratio reasoning represent rest right angles rigid SCHOLIUM sides space described specific gravity straight line string supposed surface pressed tend to turn tical tions triangle truth tube uniform force University of Cambridge upper surface valve velocity acquired vertical column vertical line vertical pressure weight
Página 24 - 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 48 - 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 197 - Sacred History, from the Creation of the World to the Destruction of Jerusalem. With Questions for Examination.
Página 188 - HISTORY. — Containing the Political History, Geographical Position, and Social State of the Principal Nations of Antiquity, carefully digested from the Ancient Writers, and illustrated by the Discoveries of Modern Scholars and Travelers.
Página 20 - ... 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 49 - 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 22 - 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 99 - ... 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.
Página 185 - But a just story of learning, containing the antiquities and originals of knowledges and their sects, their inventions, their traditions, their diverse administrations and managings, their flourishings, their oppositions, decays, depressions, oblivions, removes, with the causes and occasions of them, and all other events concerning learning, throughout the ages of the world, I may truly affirm to be wanting.