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The Philosophy of the Inductive Sciences, Founded Upon Their History Volume 2

The Philosophy of the Inductive Sciences, Founded Upon Their History Volume 2


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About the Book

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. 1847 edition. Excerpt: ... hard Kepler laboured, before he converted the formula for the planetary motions, from an epicyclical combination, to a simple ellipse. The same philosopher, labouring with equal zeal and perseverance to discover the formula of optical refraction, which now appears to us so simple, was utterly foiled. Malus sought in vain the formula determining the angle at which a transparent surface polarizes light: Sir D. Brewster*, with a happy sagacity, discovered the formula to be simply this, that the index of refraction is the tangent of the angle of polarization. Though we cannot give rules which will be of much service when we have thus to divine the general form of the relation by which phenomena are connected, there are certain methods by which, in a narrower field, our investigations may be materially promoted;--certain special methods of obtaining laws from observations. Of these we shall now proceed to treat. Chapter VII. SPECIAL METHODS OF INDUCTION APPLICABLE TO QUANTITY. In cases where the phenomena admit of numerical measurement and expression, certain mathematical methods may be employed to facilitate and give accuracy to the determination of the formula by which the observations are connected into laws. Among the most usual and important of these Methods are the following: -- I. The Method of Curves. II. The Method of Means. III. The Method of Least Squares. IV. The Method of Residues. * Hist. Ind. Sci., B. ix. c. vi. Sect. I.--The Method of Curves. 1. The Method of Curves proceeds upon this basis; that when one quantity undergoes a series of changes depending on the progress of another quantity, (as, for instance, the Deviation of the Moon from her equable place depends upon the progress of Time, ) this dependence may be expressed by.


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Product Details
  • ISBN-13: 9781230217543
  • Publisher: Theclassics.Us
  • Publisher Imprint: Theclassics.Us
  • Height: 246 mm
  • No of Pages: 206
  • Spine Width: 11 mm
  • Width: 189 mm
  • ISBN-10: 1230217541
  • Publisher Date: 12 Sep 2013
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 376 gr

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