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Books Books 1 - 9 of 9 on ... supports the hinges of the rudder; so that this water bears more directly on....  
" ... supports the hinges of the rudder; so that this water bears more directly on the rudder by an angle of about 30 degrees: hence, in the above case, the angle under which the water impels the rudder will be nearly 60 degrees... "
A mathematical miscellany in four parts: I. An essay towards the probable ... - Page 215
by Nathaniel Whittemore - 1751 - 220 pages
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An Examination of Dr. Burnet's Theory of the Earth: With Some Remarks on Mr ...

John Keill, Maupertuis - Earth - 1734 - 414 pages
...decreafe of gravity at the jEquator is r|.T parts of the whole gravity : but as I have before demongrated the decreafe of gravity at the .(Equator. is to its increafe in any other Latitude, as the fquare of the radius is to the fquare of the fine of the Latitude j now the Latitude of Paris being...
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Recreations in Mathematics and Natural Philosophy ...

Jacques Ozanam, Jean Etienne Montucla - Scientific recreations - 1803
...which the water impels the rudder will be nearly 60 degrees : we must therefore make this proportion, as the square of radius is to the square of the sine of 60 degrees, or as i is to 4 ; so is 2205 to 1653. The force therefore which a&s in. a direction perpendicular...
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A Treatise of Plane and Spherical Trigonometry: In Theory and Practice ...

Francis Nichols - Plane trigonometry - 1811 - 128 pages
...the other two sides) x the sine of | (the third side the difference between the other two sides), as the square of radius is to the square of the sine of half the angle included by the first two sides. If the value of the cosine of C (82) be substituted...
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Gallery of Nature and Art, Or a Tour Through Creation and Science ..., Volume 3

E. Polehamton - 1815
...which the water impels the rudder will be nearly 60 degrees : v/e must therefore make this proportion, as the square of radius is to the square of the sine of 60 degrees, or as one is to |-; so is 2205 to 1653. The force therefore which acts in a direction perpendicular...
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The Gallery of Nature and Art: Or, a Tour Through Creation and Science, Volume 3

Edward Polehampton, John Mason Good - Natural history - 1818
...which the water impels the rudder will be nearly 60 degrees : we must therefore' make this proportion, as the square of radius is to the square of the sine of 6'0 degrees, or as one is to $ ; so is 2205 to 1653. The force therefore which acts in a direction...
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Geometrical problems deducible from the first six books of Euclid: arranged ...

Miles Bland - Geometry - 1819 - 377 pages
...is to the rectangle contained by the excesses of half the perimeter above each of them respectively as the square of radius is to the square of the sine of half the angle contained by those sides. Let ABC be any triangle, BC its- base, AB the greater of the...
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Geometrical Problems Deducible from the First Six Books of Euclid: Arranged ...

Miles Bland - Geometry - 1819 - 377 pages
...is to the rectangle contained by the excesses of half the perimeter above each of them respectively as the square of radius is to the square of the sine of half the angle contained by those sides. Let AEC be any triangle, BC its base, AB the greater of the...
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Euclid's Elements of Geometry: The Six First Books. To which are Added ...

Rev. John Allen - Mathematics - 1822 - 494 pages
...sines of the excesses of the half sum of AB, BC and AC above AC, and of the same half sum above BC, as the square of radius, is to the square of the sine of half the angle ACB (16. 5 Eu.) ; or, which is equal (20. 6 En.), in a duplicate ratio of radius to...
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The American Quarterly Review, Volume 5

Robert Walsh - Technology & Engineering - 1829
...action is diminished by obliquity in a similar ratio, the centrifugal force at the equator is to that at any other latitude, as the square of radius is to the square of the cosine of the latitude, or the increase of gravity from the equator to the poles, is in the ratio of...
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