Handbook of Mathematics for Engineers and Engineering Students

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McGraw publishing Company, 1906 - Mathematics - 708 pages
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Page 237 - If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second. Given A ABC and A'B'C' with UNEQUAL LINES AND UNEQUAL ANGLES Proof STATEMENTS Apply A A'B'C' to A ABC so that A'B
Page 237 - Conversely, when two sides of a triangle are equal respectively to two sides of another, but the third side of the first is greater than the third side of the second...
Page 80 - CUBIC MEASURE 1728 cubic inches (cu. in.) = 1 cubic foot (cu. ft.) 27 cubic feet = 1 cubic yard (cu. yd.) 128 cubic feet = 1 cord (cd...
Page 81 - LIQUID MEASURE 4 gills (gi.) = 1 pint (pt.) 2 pints = 1 quart (qt...
Page 115 - Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth.
Page 427 - Spherical Triangle the cosine of any side is equal to the product of the cosines of the other two sides...
Page 237 - If the diagonals of a quadrilateral bisect each other, the figure is a parallelogram.
Page 73 - The circumference of a circle is divided into 360 equal parts, called degrees; each degree into 60 minutes ; each minute into 60 seconds.
Page 435 - B . sin c = sin b . sin C cos a = cos b . cos c + sin b . sin c cos b = cos a . cos c + sin a . sin c cos A cos B cos c = cos a . cos b + sin a . sin b . cos C ..2), cotg b . sin c = cos G.
Page 236 - The sum of the interior angles of a polygon is equal to two right angles, taken as many times less two as the figure has sides.

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