The mechanical Euclid, containing the elements of mechanics and hydrostatics1837 |
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Página vii
... whole subject of the grounds of the truth of our mechanical doctrines will , I hope , be found to derive much illustration from the History of Mechanics contained in my History of the Inductive Sciences . " 66 In my remarks on ...
... whole subject of the grounds of the truth of our mechanical doctrines will , I hope , be found to derive much illustration from the History of Mechanics contained in my History of the Inductive Sciences . " 66 In my remarks on ...
Página 7
... whole product of the two quantities . * ( 4. ) To divide simple Algebraical Quantities . 28. To divide one quantity by another , is to determine how often the latter is contained in the former , or what quantity multiplied by the latter ...
... whole product of the two quantities . * ( 4. ) To divide simple Algebraical Quantities . 28. To divide one quantity by another , is to determine how often the latter is contained in the former , or what quantity multiplied by the latter ...
Página 32
... whole of the line AC , as at P , R ; and the half BC may in like manner be conceived to be made up of small equal ... whole pressure on G , arising from the whole prism AB , is the sum of all the weights P , R & c . from A to C ; that is ...
... whole of the line AC , as at P , R ; and the half BC may in like manner be conceived to be made up of small equal ... whole pressure on G , arising from the whole prism AB , is the sum of all the weights P , R & c . from A to C ; that is ...
Página 33
William Whewell. G will be the whole weight of the prism , and the pressures on the two fulcrums are equal , by Prop . 1 . Therefore , in this case also , the pressure on the fulcrum G is equal to half the weight of the prism . Therefore ...
William Whewell. G will be the whole weight of the prism , and the pressures on the two fulcrums are equal , by Prop . 1 . Therefore , in this case also , the pressure on the fulcrum G is equal to half the weight of the prism . Therefore ...
Página 45
... whole pressure is equal to the sum of all the pairs , that is , to the sum of all the forces . * DEF . When two forces act at the same point , they produce the same statical effect as a certain single force , acting at that point . This ...
... whole pressure is equal to the sum of all the pairs , that is , to the sum of all the forces . * DEF . When two forces act at the same point , they produce the same statical effect as a certain single force , acting at that point . This ...
Otras ediciones - Ver todas
The Mechanical Euclid, Containing the Elements of Mechanics and Hydrostatics William Whewell Sin vista previa disponible - 2015 |
Términos y frases comunes
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
Pasajes populares
Página 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...
Página 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.
Página 9 - Sacred History, from the Creation of the World to the Destruction of Jerusalem. With Questions for Examination.
Página 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.
Página 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.
Página 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...
Página 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.