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accel acceleration accordingly action angles Archimedes axis Bernoulli centre of gravity centre of oscillation ciple conception condition connected consequently coördinates corresponding curve D'Alembert's principle Daniel Bernoulli deduction Descartes descent determined direction distance elastic element employed equal equation equilibrium eration Euler example experience expression fact fluid Galileo heavy bodies horizontal Huygens Huygens's ical idea imagine impact inclined plane inertia investigations James Bernoulli John Bernoulli length lever liquid mass mathematical mechanics ment method minimum moment of inertia motion move Newton obtain parallelogram of forces particles pendulum perpendicular phenomena physical portion position pressure principle of virtual problem produced proportional proposition pulley quantity respect result rotation simple space specific gravity statical Stevinus straight line string surface tion tonian tube unit velocity vertical vessel virtual displacements vis viva viva weight
Page 188 - The cubes of the mean distances of the planets from the sun are proportional to the squares of their times of revolution.
Page 485 - In speaking of cause and effect we arbitrarily give relief to those elements to whose connection we have to attend in the reproduction of a fact in the respect in which it is important to us. There is no cause nor effect in nature; nature has but an individual existence; nature simply is.
Page 226 - Absolute space, in its own nature, without relation to anything external, remains always similar and immovable. Relative space is some movable dimension or measure of the absolute spaces; which our senses determine by its position to bodies; and which is commonly taken for immovable space...
Page 241 - Change of motion is proportional to the impressed force and takes place in the direction of the straight line in which the force acts.
Page 241 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it may be compelled by impressed forces to change that state.
Page 221 - All uneasiness will vanish when once we have made clear to ourselves that in the concept of mass no theory of any kind whatever is contained, but simply a fact of experience.
Page 229 - No one is competent to predicate things about absolute space and absolute motion; they are pure things of thought, pure mental constructs, that cannot be produced in experience.
Page 193 - The qualities of bodies, which admit neither intensification nor remission of degrees, and which are found to belong to all bodies within the reach of our experiments, are to be esteemed the universal qualities of all bodies whatsoever.
Page 37 - Conversely, if a number of forces acting at a point are represented in magnitude and direction by the sides of a polygon taken in order, they are in equilibrium.
Page 485 - There is no cause nor effect in nature; nature has but an individual existence; nature simply is. Recurrences of like cases in which A is always connected with B, that is, like results under like circumstances, that is again, the essence of the connection of cause and effect, exist but in the abstraction which we perform for the purpose of mentally reproducing the facts.