Mathematics for the Practical Man: Explaining Simply and Quickly All the Elements of Algebra, Geometry, Trigonometry, Logarithms, Coordinate Geometry, Calculus; with Answers to Problems,

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D. Van Nostrand, 1915 - Mathematics - 143 pages
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Page 23 - The product of the sum and difference of two numbers is equal to the difference of their squares.
Page 30 - Any quantity may be transposed from one side of an equation to the other, if, at the same time, its sign, be changed.
Page 87 - If the number is greater than 1 , the characteristic is one less than the number of places to the left of the decimal point.
Page 69 - The area of a rectangle is equal to the product of the length by the breadth.
Page 119 - ... ydx; therefore du = xdy + ydx (4) Hence: — The differential of the product of two variables is equal to the first into the differential of the second, plus the second into the differential of the first.
Page 67 - DEC, have all the sides of the one equal to the corresponding sides of the other, and are therefore equal : whence it follows that the angles BEC, DEC, are equal ; and, therefore, that the two diagonals of a rhombus cut each other at right angles.
Page 68 - Two triangles situated on the same sphere, or on equal spheres, are equal in all their parts, when two sides and the included angle of the one are equal to two sides and the included angle of the other, each to each.
Page 80 - We have, then, that the sine of an angle is equal to the cosine of its complement, and conversely.
Page 64 - An angle less than a right angle is called an acute angle; an angle greater than a right angle and less than two right angles is called an obtuse angle.

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