An Elementary Treatise on Statics: With a Biographical Notice of the AuthorBiddle, 1851 - 216 pàgines |
Altres edicions - Mostra-ho tot
ELEM TREATISE ON STATICS Gaspard Comte De Peluse Monge, 1746-1,Woods Tr Baker Previsualització no disponible - 2016 |
An Elementary Treatise on Statics: With a Biographical Notice of the Author ... Gaspard Monge Previsualització no disponible - 2017 |
An Elementary Treatise on Statics: With a Biographical Notice of the Author Gaspard Monge,Woods Baker Previsualització no disponible - 2016 |
Frases i termes més freqüents
angle axis base body centre of gravity circumference components consequently considered contrary direction cord COROLLARY COROLLARY II couple cylinder DEMONSTRATION diagonal directly opposed distance divided draw the line equal and directly equi find the centre fixed point force equal force Q four forces fulcrum Gaspard Monge horizontal plane inclined plane intensity and direction invariable manner Lemma let fall lever librium machine molecules moments Monge moveable muffle multiplied necessary P+Q+R+S parallel forces parallelogram parallelopipedon pass pendicular perpendicu perpendicular plane ABCD plane drawn plane MN point D point F point of application points of support polygon power Q produce an equilibrium prolongation pulley pyramid radius ratio rection referred represented in intensity resistance screw sides single force straight line sultant summit suppose tend to turn THEOREM three forces tion triangle ABC vertical plane wedge weight wheel and axle
Passatges populars
Pàgina 85 - ... opposite direction, and it will act in the direction of the greater of these sums. This is the case in which several forces are exerted in the direction of the same cord. The tension of the cord will be the same throughout...
Pàgina 77 - ... forces, is equal to the sum or difference of the moments of the components, according as they tend to turn the system in the same or opposite directions about the centre of moments.
Pàgina 136 - ... the sum of the moments of the forces which tend to turn the body in one direction must be equal to the sum of the moments of those which tend to turn it in the opposite direction about the same axis.
Pàgina 33 - ... The tension of the cord will be the same throughout, and it is not possible to draw its two ends with different efforts. The tension of a cord is the effort by which any two of tension of a cord: NATURAL PHILOSOPHY. the effect of unequal forces acting upon a cord. and this being the same throughout, the excess of the sum of the forces which act in one direction over that of those which act in the opposite direction, will be wholly employed in overcoming the cord's inertia and giving it motion....
Pàgina 9 - ... in the confinement of a school, and clothed only in abstract ideas." " In order to bring Monge to Paris, he was appointed in 1780 assistant to Bossut, Professor of the Hydrodynamic Course, instituted by Turgot. That he might reconcile the duty of the two places which he now held, he lived six months at Mezieres, and six months at Paris. The same year he was admitted into the Academy of Sciences ; and on the death of Bezout in 1783, ~he was chosen to succeed that celebrated examiner of the naval...
Pàgina 85 - ... direction, their joint effect will obviously be the same as that of a single force equal to their sum, which single force will be their resultant. If some of the forces act in one direction, and others in an opposite direction, the resultant will be a single force equal to the excess of the sum of those which act in one direction over the sum of those which act in the contrary direction ; and it will act in the direction of those forces which give the greater sum, for when two unequal forces...
Pàgina 165 - X a"; Or, the power is to the resistance, as the product of the radii of the pinions and barrel is to the product of the radii of the spurwheels and handle. From this we derive the following rules : — I. Multiply the load to be raised by the product of the radius of the barrel into the radii of the pinions, and divide the sum obtained by the product of the radius of the handle...
Pàgina 185 - ... ellipse will be formed. Every cylinder may be considered as a prism of an infinite number of sides ; its volume, as in the prism, will evidently be obtained by multiplying the area of the base by the altitude. The convex surface of the right cylinder is equal to the area of a rectangle whose base is equal to the circumference of the base of the cylinder, and whose altitude is the altitude of the cylinder. The determination of the convex surface of an oblique cylinder is very difficult. A cone...
Pàgina 83 - S . . . . do not tend to turn their points of application in the same direction around the centre of the moments D, the moment of their resultant is equal to the excess of the sum of the moments of the forces which tend to turn in one direction, over the sum of the moments of those which tend to turn in the opposite direction.
Pàgina 189 - CD) ; therefore, the convex surface of the frustum of a cone is equal to its slant height multiplied by the circumference of a section at equal distances from the two bases.