An Elementary Treatise On the Application of the Algebraic Analysis to Geometry
An Elementary Treatise On the Application of the Algebraic Analysis to Geometry
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In our eReader you can find the full English version of the book. Read An Elementary Treatise On the Application of the Algebraic Analysis to Geometry Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book An Elementary Treatise On the Application of the Algebraic Analysis to Geometry
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ART. PAGE 115. Expression for the angle contained between any two radii vectores, when the equation of the curve involves the radius vector and the perpendicular on the tangent. - 50 116. Expressions for finding the length of any arc of a curve, and also the sectoreal area between any two radii vectores, when the equation expresses the relation be- tween the radius vector aud the perpendicular on the tangent. - - - - - 117. Expression for the radius of curvature in terras of the radius vector a...nd the perpendicular on the tangent. - 51 118. To find the equation of the evolute. . - 119. How the involute may be determined. - - 52 THE MODERN APPLICATION OF THE ALGEBRAIC ANALYSIS TO GEOMETRY.
SECTION I.
DEFINITIONS AND FIRST PRINCIPLES.
ARTICLE 1. ^ Function is any analytical expression, containing one or more variable quantities, combined or not with constant quantities ; it is called a function of the variable quantity, or quantities, which it contains. Thus a; 2 -\- a x, \f (a 2 a; 2 ) are algebraic functions of a?; tan x, which denotes the length of the circular arc whose radius is unity and tangent a 1, is a trigonometric function of x; and a- 2 -{- y 2 - -j- x y, a x -\- by x ^ are algebraic functions of # and y.
What to read after An Elementary Treatise On the Application of the Algebraic Analysis to Geometry?
You can find similar books in the "Read Also" column, or choose other free books by W S B Wesley Stoker Barker Woolhouse to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
ART. PAGE 115. Expression for the angle contained between any two radii vectores, when the equation of the curve involves the radius vector and the perpendicular on the tangent. - 50 116. Expressions for finding the length of any arc of a curve, and also the sectoreal area between any two radii vectores, when the equation expresses the relation be- tween the radius vector aud the perpendicular on the tangent. - - - - - 117. Expression for the radius of curvature in terras of the radius vector a...nd the perpendicular on the tangent. - 51 118. To find the equation of the evolute. . - 119. How the involute may be determined. - - 52 THE MODERN APPLICATION OF THE ALGEBRAIC ANALYSIS TO GEOMETRY.
SECTION I.
DEFINITIONS AND FIRST PRINCIPLES.
ARTICLE 1. ^ Function is any analytical expression, containing one or more variable quantities, combined or not with constant quantities ; it is called a function of the variable quantity, or quantities, which it contains. Thus a; 2 -\- a x, \f (a 2 a; 2 ) are algebraic functions of a?; tan x, which denotes the length of the circular arc whose radius is unity and tangent a 1, is a trigonometric function of x; and a- 2 -{- y 2 - -j- x y, a x -\- by x ^ are algebraic functions of # and y.
What to read after An Elementary Treatise On the Application of the Algebraic Analysis to Geometry?
You can find similar books in the "Read Also" column, or choose other free books by W S B Wesley Stoker Barker Woolhouse to read onlineMoreLess
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