The mechanical Euclid, containing the elements of mechanics and hydrostatics1837 |
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Side vi
... reference to the new scheme of examination , it will easily be seen that it does not refer solely to that object . I have introduced many propositions into my series , which do not occur in the list of Propositions published by the the ...
... reference to the new scheme of examination , it will easily be seen that it does not refer solely to that object . I have introduced many propositions into my series , which do not occur in the list of Propositions published by the the ...
Side 143
... reference to these latter objects , we may note two ways in which it may promote them ; -by habi- tuating the mind to strict reasoning , and by afford- ing an occasion of contemplating some of the most important mental processes and ...
... reference to these latter objects , we may note two ways in which it may promote them ; -by habi- tuating the mind to strict reasoning , and by afford- ing an occasion of contemplating some of the most important mental processes and ...
Side 145
... references to what has been proved already ; and it is justly assumed that each of these brief movements helps the reasoner forwards in a course of infallible certainty and security . Each of these hasty glances must possess the ...
... references to what has been proved already ; and it is justly assumed that each of these brief movements helps the reasoner forwards in a course of infallible certainty and security . Each of these hasty glances must possess the ...
Side 150
... who should make the attempt , would betray , in his first propositions , to all men who can reason geo- metrically , a reference to straight lines . 15. If , therefore , we say that Geometry depends 150 ON MATHEMATICAL REASONING .
... who should make the attempt , would betray , in his first propositions , to all men who can reason geo- metrically , a reference to straight lines . 15. If , therefore , we say that Geometry depends 150 ON MATHEMATICAL REASONING .
Side 156
... reference to other truths ; -by definitions , or by illustrations from other kinds of quantity . " Thoughts on the Study of Mathematics , p . 25 . and unmeaning words ; but then , this capacity and 156 ON MATHEMATICAL REASONING .
... reference to other truths ; -by definitions , or by illustrations from other kinds of quantity . " Thoughts on the Study of Mathematics , p . 25 . and unmeaning words ; but then , this capacity and 156 ON MATHEMATICAL REASONING .
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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.