Mathematics for the practical man; explaining simply and quickly all the elements of algebra, geometry, trigonometry, logarithms, coördinate geometry, calculus

by George Howe

This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1918 edition. ...quantities and solving for the other, our result will be the point or points of intersection of both curves represented by the equations. Thus, if we add the equations of two circles, and if the student plots these equations separately and then combines them, eliminating one of the unknown quantities and solving for the other, his results will be the points of intersection of both curves. Plotting of Data.--When plotting mathematically with absolute accuracy the curve of an equation, whatever scale we use along one axis we must employ along the other axis. But, for practical results in plotting curves which show the relative values of several varying quantities during a test or which show the operation of machines under certain conditions, we depart from mathematical accuracy in the curve for the sake of convenierjce and choose such scales of value along each axis as we may deem appropriate. Thus, suppose we were plotting the characteristic curve of a shunt dynamo which had given the following sets of values from no load to full load We plot this curve for convenience in a manner as shown in Fig. 34. Along the volts axis we choose a scale which is compressed to within one-half of the space that we choose for the amperes along the ampere axis. However, we might have chosen this entirely at our own discretion and the curve would have had the same significance to an engineer. PROBLEMS Plot the curves and lines corresponding to the following 1. x = 3J + 10. 2. 2x + sy = 15. 3.-2y = 4. 4. loy + 3 =-8. 5. 2 + / = 36. 6. a? = 16 y. 7. x2--y3 = 16. 8. Plot the following volt-ampere VOLTS AMPERES 55 o 548 20 545 39 54i 55 536 79 529 91 521 IO2 "5 CHAPTER XIV ELEMENTARY PRINCIPLES OF THE CALCULUS It is not my aim...

Genres: Mathematics

40 pages, Paperback

First published January 1, 1918

Reviews

[Jason · Rating 4 out of 5]

Good refresher though this was written before calculators so skip the parts where they expect you to look up log tables.

[Richard Seltzer · Rating 2 out of 5]

Disappointing. But my expectations were unrealistic.
I wanted a clear and simple review of the math I studied in high school, most of which I've forgotten.