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" When a body is placed on a horizontal plane, it will stand or fall, according as the vertical line, drawn from its centre of gravity, falls within or without its base. "
The examinations for the degree of bachelor of arts, Jan., 1847 - Σελίδα 23
των Cambridge univ, exam. papers - 1847 - 80 σελίδες
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The Christian remembrancer; or, The Churchman's Biblical ..., Τόμος 22

1840
...straight line. Prop. 21. To find the centre of gravity of a triangle. Prop. 22. When a hody is placed on a horizontal plane, it will stand or fall, according...from its centre of gravity, falls within or without its hase. Prop. 23. When a hody is suspended from a point, it will rest with its centre of gravity...

The Mechanical Euclid: Containing the Elements of Mechanics and Hydrostatics ...

William Whewell - 1837 - 182 σελίδες
...fall over, it tends to turn round one edge of its base, whether the base slide or not. * PROP. XXXI. When a body is placed upon a horizontal plane, it...fall, according as the vertical line, drawn from its center of gravity, falls within or without its base. * Let ABCD be the body, AB its base, G its center...

The Cambridge course of elementary natural philosophy, being the ...

John Charles Snowball - 1838 - 81 σελίδες
...line. 46. Prop. 21. To find the center of gravity of a triangle. 47. Prop. 22. When a body is placed on a horizontal plane, it will stand or fall, according as the vertical line, drawn from its center of gravity, falls within or without its base. 48. Prop. 23. When a body is suspended from a...

An Elementary Treatise on Mechanics

Andrew Searle Hart - 1847 - 129 σελίδες
...centre of gravity, therefore their intersection is the point required. Cor. 3. If a body be placed on a horizontal plane, it will stand or fall according as the vertical which passes through its centre of gravity meets the horizontal plane within or without the figure...

Register

University of Cambridge - 1849
...straight line. Prop. 21. To find the centre of gravity of a triangle. Prop. 22. When a body is placed on a horizontal plane, it will stand or fall, according...from its centre of gravity, falls within or without its base. Prop. 23. When a body is suspended from a point, it will rest with its centre of gravity...

An Elementary Course of Mathematics: Designed Principally for Students of ...

Harvey Goodwin - 1849 - 528 σελίδες
...variety of examples. The following is one of the most important properties of the centre of gravity. 49. When a body is placed upon a horizontal plane, it will stand or fall according as the vertical line through the centre of gravity falls within or without the base. FIG. I. FIG. JI. Suppose the vertical...

Elementary mechanics

Harvey Goodwin (bp. of Carlisle.) - 1851
...line which bisects two of the sides ; find the centre of gravity of the quadrilateral portion. 12. When a body is placed upon a horizontal plane, it will stand or fall according as the vertical line through the centre of gravity falls within or without the base. . 13. Distinguish between stalle, and...

Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...centre of gravity is equal to the sum of the weights in all positions. 6. When a body is placed on a horizontal plane it will stand or fall according...centre of gravity falls within or without the base. A quadrilateral lamina which has all its sides equal will be in equilibrium if its plane be vertical...

Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...extremities with the other angular points; find their centre of gravity. 11. When a body is placed on a horizontal plane, it will stand or fall, according...from its centre of gravity, falls within or without its base. A square stands on a horizontal plane; if equal portions be removed from two opposite corners...

A test-book for students; comprising sets of examination papers upon ...

Thomas Stantial - 1859
...in a triangular form) may be ascertained. 14. Show the reason of the following proposition : — " When a body is placed upon a horizontal plane, it will stand or fall according as the vertical line through the centre of gravity falls within or without the base ;" with a diagram. 15. Explain the following...




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