The mechanical Euclid, containing the elements of mechanics and hydrostatics1837 |
Inni boken
Resultat 1-5 av 20
Side 16
... increased or diminished in any proportion , the area is increased or diminished in the same proportion . ( Euc . vi . 1. ) 53. One quantity is said to vary inversely as another ... increase or decrease of one quan- tity 16 PURE MATHEMATICS .
... increased or diminished in any proportion , the area is increased or diminished in the same proportion . ( Euc . vi . 1. ) 53. One quantity is said to vary inversely as another ... increase or decrease of one quan- tity 16 PURE MATHEMATICS .
Side 17
... increase or decrease of two others , and it appears that if either of these latter be constant , the first varies as ... increase or decrease by a com- mon difference . Thus 1 , 3 , 5 , 7 , 9 , & c . , where the increase is by the ...
... increase or decrease of two others , and it appears that if either of these latter be constant , the first varies as ... increase or decrease by a com- mon difference . Thus 1 , 3 , 5 , 7 , 9 , & c . , where the increase is by the ...
Side 18
William Whewell. if the progression be an increasing one , or subtract the product , if a decreasing one . Thus the 10th term of 1 , 3 , 5 , & c . is 1 + 9 × 2 : = 19 . - The nth term of a , a + b , a + 2b , & c . is a + n − 1b . The ...
William Whewell. if the progression be an increasing one , or subtract the product , if a decreasing one . Thus the 10th term of 1 , 3 , 5 , & c . is 1 + 9 × 2 : = 19 . - The nth term of a , a + b , a + 2b , & c . is a + n − 1b . The ...
Side 19
... increasing geometrical progression , multiply the last term by the common ratio , subtract from the product the first term , and divide the remainder by the excess of the common ratio above unity . Thus the sum of 5 terms of 8 , 12 ...
... increasing geometrical progression , multiply the last term by the common ratio , subtract from the product the first term , and divide the remainder by the excess of the common ratio above unity . Thus the sum of 5 terms of 8 , 12 ...
Side 38
... increased distance from the fulcrum . We have an example of a lever of this kind in the anatomy of the fore - arm of a man , when he raises a load with it , turning at the elbow . The elbow is the Fulcrum , the Power is the force of the ...
... increased distance from the fulcrum . We have an example of a lever of this kind in the anatomy of the fore - arm of a man , when he raises a load with it , turning at the elbow . The elbow is the Fulcrum , the Power is the force of the ...
Andre utgaver - Vis alle
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.