| 1823 - 876 pages
...746, and published in the Memoirs of G 2 the < 174*History, the Academy for 1 747. He .shewed, that **the sum of the *— • \ ' products of the mass of each body by the** area which its radius vector descrij»es round a fixed point, is always proportional to the limes.... | |
| Mary Somerville - 1831 - 720 pages
...from the equations (18), that if any plane passes through the centre of gravity of a system of bodies, **the sum of the products of the mass of each body by** its distance from that plane is zero. For, since the axes of the co-ordinates are arbitrary, any one... | |
| 1839
...given in a memoir dated 1746, and published in the " Memoirs of the Academy for I7I7" He showed, that **the sum of the products of the mass of each body by the** area which its radius vector describes round a fixed point, is always proportional to the times. The... | |
| Encyclopaedia - 1845 - 902 pages
...two former, the principle consists in this: that in the motion of several bodies about a fixed axis, **the sum of the products of the mass of each body, by the** velocity of rotation round the centre, and by its distance from the same centre, is always independent... | |
| Isaac Todhunter - 1867 - 372 pages
...The product of the mass of a body into the square of its velocity is called the vis viva of the body. **The vis viva of a system of bodies is the sum of the** vis viva of every body of the system. In the higher parts of Dynamics the consideration of vis viva... | |
| Isaac Todhunter - 1867 - 368 pages
...The product of the mass of a body into the square of its velocity is called the vis viva of the body. **The vis viva of a system of bodies is the sum of the** vis viva of every body of the system. In the higher parts of Dynamics the consideration of vis viva... | |
| Edwin Fitch Northrup - 1917 - 232 pages
...PRINCIPLE OF THE CONSERVATION OF AREAS (D'ARCY'S STATEMENT). According to d'Arcy, the principle states that **the sum of the products of the mass of each body by the** area which its radius vector describes about a fixed center on any plane of projection is always proportional... | |
| 1858 - 1142 pages
...function that answers, and that although the absolute velocities are continually changing through a cycle, **the sum of the products of the mass of each body by the square of its** respective absolute velocity, is a con stant quantity, and equal to the sum of the rectilineal and... | |
| Robert Walsh - 1832 - 638 pages
...According to them, it consists in this : that in the motion of several bodies around a fixed axis, **the sum of the products of the mass of each body by the** Telocity of rotation around the centre, and by its distance from the same centre, is always independent... | |
| |