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" ... this line. It will be useful to observe that the centre of gravity of a triangle coincides with the centre of gravity of three equal weights placed at the angular points of the triangle. For, to find the centre of gravity of three equal weights placed... "
The Elements of Natural Philosophy - Сторінка 226
1853
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Elements of Natural Philosophy, Elementary Statics and Dynamics

1862 - 496 стор.
...dividing 7 AC by 33. Fig. 144. and if G be the centre of gravity ; then 0 G is exactly |ths of A C. If G be the centre of gravity of the surface of this...at the angular points of the triangle ABC ; bisect AG in D, draw BD, and v, on it take G, so that DG c shall be one-third of DB, and therefore one-half...
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1868 - 426 стор.
...point A. 4. Find the centre of gravity of a triangular area, ^rove that the point so determined is also the centre of gravity of three equal weights placed at the angular points of the triangle. 5. A half-crown lies on a horizontal tab'e and a shilling lies upon it so that the circumference...
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Theoretical Naval Architecture: A Treatise on the Calculations ..., Том 1

Samuel James Pope Thearle - 1877 - 384 стор.
...up this line. It will be useful to observe that the centre of gravity of a triangle coincides with the centre of gravity of three equal weights placed at the angular points of the triangle. For, to find the centre of gravity of three equal weights placed at the points A, B,...
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Theoretical Naval Architecture: A Treatise on the Calculations ..., Том 1

Samuel James Pope Thearle - 1877 - 384 стор.
...with the centre of gravity of three equal weights placed at the angular points of the triangle. For, to find the centre of gravity of three equal weights placed at the points A, B, C, respectively (see fig. 1, Plate IV.), we join CB and bisect it in E; then E is the...
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Theoretical Naval Architecture: A Treatise on the Calculations ..., Том 1

Samuel James Pope Thearle - 1877 - 400 стор.
...the centre of gravity of three equal •weights placed at the angular points of the triangle. For, to find the centre of gravity of .three equal weights placed at the points A, B, C, respectively (see fig. 1, Plate IV.), we join CB and bisect it in E; then E is the...
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A key to Elementary statics and Hydrostatics

James Hamblin Smith - 1878 - 180 стор.
...gravity of the mutilated figure, .-. <?0= OM 45. The centre of gravity of a triangle coincides with the centre of gravity of three equal weights placed at the angular points. Hence the weight sustained by each prop is one-third of the weight of the triangle. 46. Draw a radius...
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Cambridge University Examination Papers

University of Cambridge - 1884 - 624 стор.
...algebraic sum of the moments of these forces is the same for every point in the plane of the triangle. 7. Find the centre of gravity of three equal weights placed at the three angular points of a triangle. A square board ABCD is made into a table by inserting three equal...
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Elements of Mechanics Including Kinematics, Kinetics and Statics: With ...

Thomas Wallace Wright - 1896 - 418 стор.
...on a median line of the triangle at two thirds its length from the vertex. Ex.-l. Prove that the CG of three equal weights placed at the angular points of a triangle coincides with that of the triangle itself. [For W at B and W at C are equivalent to 2 W at D, the...
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Elements of Mechanics Including Kinematics, Kinetics and Statics: With ...

Thomas Wallace Wright - 1906 - 418 стор.
...on a median line of the triangle at two thirds its length from the vertex. Ex. 1. Prove that the CG of three equal weights placed at the angular points of a triangle coincides with that of the triangle itself. [For W at B and W at C are equivalent to 2 W at D, the...
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The Elements of Graphic Statics and of General Graphic Methods

William Ledyard Cathcart, Jonathan Irvin Chaffee - 1910 - 356 стор.
...each other. 55. Find the centre of gravity of a circular arc whose length is equal to its radius. 56. Find the centre of gravity of three equal weights placed at the vertices of a triangle whose sides are 6, 8, 10 feet, respectively. 57. Find the centre of gravity...
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