The mechanical Euclid, containing the elements of mechanics and hydrostatics1837 |
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Side iii
... Proportion ( 10 ) . Consequences of Proportion ( 11 ) . Variation ( 12 ) . Arithmetical Progression ( 13 ) . Geometrical Progression ...... GEOMETRY . Definition of Proportion ..... Lemmas respecting Proportion Euclid , B. VI ...
... Proportion ( 10 ) . Consequences of Proportion ( 11 ) . Variation ( 12 ) . Arithmetical Progression ( 13 ) . Geometrical Progression ...... GEOMETRY . Definition of Proportion ..... Lemmas respecting Proportion Euclid , B. VI ...
Side 4
... proportion , thus a b c d , signifies that a bears the same proportion to b that e bears to d . 14. The number prefixed to any quantity , and which shews how often it is to be taken , is called its coefficient . Thus , in the quantities ...
... proportion , thus a b c d , signifies that a bears the same proportion to b that e bears to d . 14. The number prefixed to any quantity , and which shews how often it is to be taken , is called its coefficient . Thus , in the quantities ...
Side 11
... Proportion . 37. Four quantities are said to be proportionals , when the first is the same multiple , part , or parts of the second , that the third is of the fourth . Thus the four quantities 8 ... Proportion (10) Consequences of Proportion.
... Proportion . 37. Four quantities are said to be proportionals , when the first is the same multiple , part , or parts of the second , that the third is of the fourth . Thus the four quantities 8 ... Proportion (10) Consequences of Proportion.
Side 12
... proportion a b c d being given , the fourth may be determined from the equation ad bc . = 40 . If the first be to the second as the second to the third , the product of the extremes is equal to the square of the mean . For ( Art . 39 ) ...
... proportion a b c d being given , the fourth may be determined from the equation ad bc . = 40 . If the first be to the second as the second to the third , the product of the extremes is equal to the square of the mean . For ( Art . 39 ) ...
Side 15
... proportion of the different values may be expressed by two terms of a proportion instead of four . Thus if a man travel with a constant velocity ( for example 4 miles an hour , ) the space travelled over in any one time is to the space ...
... proportion of the different values may be expressed by two terms of a proportion instead of four . Thus if a man travel with a constant velocity ( for example 4 miles an hour , ) the space travelled over in any one time is to the space ...
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The Mechanical Euclid, Containing the Elements of Mechanics and Hydrostatics William Whewell Ingen forhåndsvisning tilgjengelig - 2015 |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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...
Side 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.
Side 9 - Sacred History, from the Creation of the World to the Destruction of Jerusalem. With Questions for Examination.
Side 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.
Side 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.
Side 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...
Side 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.