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الصفحة 80 - ... two planets are to each other as the cubes of their mean distances from the sun.
الصفحة 43 - ... 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.
الصفحة 27 - ... the areas described by the radius vector are proportional to the times employed in describing them.
الصفحة 41 - ... directions of the forces sensibly parallel : whence we must conclude, that the line of direction of the resultant of two parallel forces is in the plane of the forces, is parallel to the direction of the forces, and that the moment of the resultant, taken in reference to any point in the plane of the 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.
الصفحة 33 - MR = / cos2 n ; that is, the diminution of gravity, due to the centrifugal force at any place on the earth's surface, is equal to the centrifugal force at the equator, multiplied by the square of the cosine of the latitude of the place.
الصفحة 52 - Hence the moment of inertia of a body with respect to any axis, is equal to its moment of inertia with respect to...
الصفحة 31 - The point of application of the resultant of a system of parallel forces is called the centroid or center of the system of forces.
الصفحة 80 - In this case, it is obvious that the plane of the circle of illumination would be perpendicular to a line drawn from the centre of the sun to the centre of the earth...
الصفحة 10 - To find the resultant of two parallel forces. The resultant is in the same plane with, and parallel to, the components. It is their sum or difference according as they act in the same or contrary directions; and in the latter case its direction is that of the greater component. To find its line of action by construction, proceed as follows : — Fig.
الصفحة 86 - Poincare speaks of the porosity of matter as follows : "The astronomical universe consists of masses, undoubtedly of great magnitude, but separated by such immense distances that they appear to us as material points ; these points attract each other in the inverse ratio of the squares of their distances, and this attraction is the only force which affects their motion. But if our senses were keen enough to show us all the details of the bodies which the physicist studies, the spectacle thus disclosed...

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