The mechanical Euclid, containing the elements of mechanics and hydrostatics1837 |
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Side 2
... magnitudes as can be repre- sented by numbers ; we may therefore without impropriety speak of the multiplication , division , & c . of quantities by each other . divided by b ; and a is the numerator , 2 PURE MATHEMATICS . (2) Addition ...
... magnitudes as can be repre- sented by numbers ; we may therefore without impropriety speak of the multiplication , division , & c . of quantities by each other . divided by b ; and a is the numerator , 2 PURE MATHEMATICS . (2) Addition ...
Side 13
... magnitude to a weight . In cases of this kind , if the four quantities be represented by numbers or other quantities which are similar , the alternation may take place , and the conclusions drawn . from it will be just . 46. If ...
... magnitude to a weight . In cases of this kind , if the four quantities be represented by numbers or other quantities which are similar , the alternation may take place , and the conclusions drawn . from it will be just . 46. If ...
Side 20
... magnitudes is said to have the same ratio to the second which the third has to the fourth , when any equi - multiples whatsoever of the first and third being taken , and any equi - multiples whatsoever of the second and fourth , —if the ...
... magnitudes is said to have the same ratio to the second which the third has to the fourth , when any equi - multiples whatsoever of the first and third being taken , and any equi - multiples whatsoever of the second and fourth , —if the ...
Side 21
... magnitudes . a , b , c , d are proportionals according to the geome- trical definition . LEMMA 2. If magnitudes be proportionals ac- cording to the geometrical definition , they are also proportionals according to the algebraical ...
... magnitudes . a , b , c , d are proportionals according to the geome- trical definition . LEMMA 2. If magnitudes be proportionals ac- cording to the geometrical definition , they are also proportionals according to the algebraical ...
Side 22
... magnitude . Therefore the equality cannot depend upon that particular magnitude of a or b , which makes a some multiple , part , or parts of b . Therefore , since , for those magnitudes of a and b for which a is a mul- tiple , part , or ...
... magnitude . Therefore the equality cannot depend upon that particular magnitude of a or b , which makes a some multiple , part , or parts of b . Therefore , since , for those magnitudes of a and b for which a is a mul- tiple , part , or ...
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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.