 | James Joseph Sylvester, James Whitbread Lee Glaisher - Mathematics - 1862 - 410 pages
...similitude of X and 2:" secondly, by observing that the triangle FGHm&j be constructed from 2 and Д (the triangle formed by joining the middle points of the sides of ABC) just as ÂED is constructed from X and ABC, whence it follows that these triangles are similar;... | |
 | Samuel H. Winter - 1864 - 348 pages
...centre of gravity of a pyramid. 2. Prove that the centre of gravity of the perimeter of * triangle is the centre of the circle inscribed in the triangle formed by joining the middle points of the given triangle. 3. A string fastened to a nail, and hanging vertically, supports the apex of a uniform... | |
 | Samuel Newth - Mechanics, Analytic - 1864 - 392 pages
...centre of the circle inscribed in abe. Hence the centre of gravity of the perimeter of a triangle is the centre of the circle inscribed in the triangle formed by joining the bisections of its sides. 69. If the magnitudes and centres of gravity of the several parts of a body... | |
 | Robert Henry Wright - Coordinates, Trilinear - 1865 - 174 pages
...from the angular points of a triangle upon the opposite sides. (ii) Those described upon the sides of the triangle formed by joining the middle points of the sides of a triangle. (iii) Those described upon the sides of the triangle formed by joining the points of intersection... | |
 | McGill University - 1865 - 332 pages
...gravity of the perimeter of a triangle. o. Show that it is the centre of the circle inscribed in a new triangle formed by joining the middle points of the sides of the, original triangle. 4. Define a lever, and distinguish between the three kinds of levers. Find the condition... | |
 | Isaac Todhunter - Mechanics - 1867 - 368 pages
...of the former as diameter. 6. Shew that the centre of gravity of a wire bent into a triangular shape coincides with the centre of the circle inscribed...formed by joining the middle points of the sides of the original triangle. 7. If the centre of gravity of a triangle be equidistant from two angular points... | |
 | Isaac Todhunter - Mechanics - 1867 - 372 pages
...of the former as diameter. 6. Shew that the centre of gravity of a wire bent into a triangular shape coincides with the centre of the circle inscribed...formed by joining the middle points of the sides of the original triangle. 7. If the centre of gravity of a triangle be equidistant from two angular points... | |
 | Joseph Wolstenholme - Mathematics - 1867 - 368 pages
...the sides of a triangle are the straight lines bisecting internally and externally the angles of a triangle formed by joining the middle points of the sides of the former triangle. 62. If two circles have four common tangents, the circles described on these common... | |
 | John Francis Twisden - Mechanics - 1868 - 364 pages
...uniform thickness is bent so as to form three sides of a triangle ; show that the centre of gravity is the centre of the circle inscribed in the triangle formed by joining the middle points of the original triangle. 68. Remark.—The following examples of the determination of centres of gravity... | |
 | John Francis Twisden - 1868 - 412 pages
...uniform thickness is bent so as to form three sides of a triangle ; show that the centre of gravity is the centre of the circle inscribed in the triangle formed by joining the middle points of the original triangle. 68. Remark. — The following examples of the determination of centres of gravity... | |
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... the sides of the triangle formed by joining the middle points of the sides of the original triangle... 
