Mathematics, mechanics, heatAmerican School of Correspondence, 1903 - Engineering |
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Page 65
... as a limit as the number of sides of each poly- gon is indefinitely increased The demonstration here given will , however , suffice for the purposes of this book . I. Let the number of sides of the inscribed and GEOMETRY . 65.
... as a limit as the number of sides of each poly- gon is indefinitely increased The demonstration here given will , however , suffice for the purposes of this book . I. Let the number of sides of the inscribed and GEOMETRY . 65.
Page 66
... increased indefinitely it is evident , as there is no appreciable area between the perimeter and circum- ference ( I ) , that the sum of the areas of the infinite number of triangles thus formed is practically equal to the area of the ...
... increased indefinitely it is evident , as there is no appreciable area between the perimeter and circum- ference ( I ) , that the sum of the areas of the infinite number of triangles thus formed is practically equal to the area of the ...
Page 27
... 074400 * NOTE . Whenever in dividing a logarithm by a number a remainder of 1⁄2 or more is obtained , the last figure of the quotient is increased by 1 . EXAMPLES FOR PRACTICE . Find the logarithms of the following LOGARITHMS . 27.
... 074400 * NOTE . Whenever in dividing a logarithm by a number a remainder of 1⁄2 or more is obtained , the last figure of the quotient is increased by 1 . EXAMPLES FOR PRACTICE . Find the logarithms of the following LOGARITHMS . 27.
Page 30
... the characteristic of the minuend should be increased by 10 ( or a multiple of 10 ) , - 10 ( or - the same multiple of 10 ) being written after the mantissa . Thus , to subtract 3.429863 from 2.563298 , we arrange 30 LOGARITHMS .
... the characteristic of the minuend should be increased by 10 ( or a multiple of 10 ) , - 10 ( or - the same multiple of 10 ) being written after the mantissa . Thus , to subtract 3.429863 from 2.563298 , we arrange 30 LOGARITHMS .
Page 13
... increases as the distance from the magnetic equator increases , at which place it is nothing . The following should be taken account of : In the northern lati- tudes on northerly courses heeling error may be expected to place the ship ...
... increases as the distance from the magnetic equator increases , at which place it is nothing . The following should be taken account of : In the northern lati- tudes on northerly courses heeling error may be expected to place the ship ...
Common terms and phrases
acting altitude amount beam body called center of gravity chart circle coefficient compass Corollary course cubic dead reckoning decimal degrees diameter direction distance divided earth elastic elastic limit energy equal equation EXAMPLES FOR PRACTICE factor of safety feet per second foot foot-pounds force formula friction gear given greater Greenwich mean heat Hence hour angle hypothenuse kinetic latitude length liquid load logarithm longitude magnetism mantissa mercury meridian miles minute molecules motion move multiplied Nautical orifice parallel parallelogram pendulum perpendicular plane polygon position poundal pounds per square pressure proportional pulley quadrant radius resultant revolutions revolutions per minute right angles right triangles sextant shaft ship ship's side specific gravity square inch straight line stress substance surface temperature Theorem tion triangles A B C unit velocity vertical vessel weight wheel wrought iron
Popular passages
Page 70 - PROBLEM. To inscribe a circle in a given triangle. Let ABC be the given triangle : it is required to inscribe a circle in the triangle ABC.
Page 39 - A circle is a plane figure bounded by a curved line, called the circumference, every point of which is equally distant from a point within called the center.
Page 32 - If the diagonals of a quadrilateral bisect each other, the figure is a parallelogram.
Page 6 - Every body continues in its state of rest, or of uniform motion in a straight line, unless it is compelled to change that state by forces impressed upon it.
Page 7 - If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line.
Page 54 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Page 21 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, each to each, the two triangles are equal in all respects.
Page 31 - If two sides of a quadrilateral are equal and parallel, the figure is a parallelogram.
Page 60 - The area of a triangle is equal to one-half the product of its base and altitude.
Page 46 - An angle formed by a tangent and a chord is measured by onehalf the intercepted arc.