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" ... therefore 1 being the trigonometrical tangent of the angle made by the line with the axis of a;, this angle must be 45°, and the ordinate at the origin is 2. "
Practical Algebra (revised) Prepared for the Use of the Midshipmen at the ... - Page 90
by Stimson Joseph Brown, Paul Capron - 1910 - 191 pages
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The Elements of Analytical Geometry: Comprehending the Doctrine of the Conic ...

John Radford Young - Conic sections - 1830 - 360 pages
...and 5, then the equation of the line passing through them is therefore 1 being the trigonometrical tangent of the angle made by the line with the axis of x, this angle must be 45°, and the ordinate at the origin is 2. If (.r', y',) is on the axis of x, y'...
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The Elements of Analytical Geometry: Comprehending the Doctrine of the Conic ...

John Radford Young - Conic sections - 1830 - 390 pages
...the equation of the line passing' through them is y = lr + 2 ; therefore 1 being the trigonometrical tangent of the angle made by the line with the axis of x, this angle must be 45°, and the ordinate at the origin is 2. . 24 ANALYTICAL GEOMETRY. • If (x',...
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The Elements of Analytical Geometry ...

John Radford Young - Geometry, Analytic - 1835 - 298 pages
...the equation of the line passing through them is y = \x-\- 2; therefore 1 being the trigonometrical tangent of the angle made by the line with the axis of a;, this angle must be 45°, and the ordinate at the origin is 2. If (x', y',) is on the axis of x,...
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The Elements of Analytical Geometry: Comprehending the Doctrine of the Conic ...

John Radford Young - Geometry, Analytic - 1850 - 294 pages
...the equation of the line passing through them is y = lo?-f- 2j therefore 1 being the trigonometrical tangent of the angle made by the line with the axis of a?, this angle must be 45°, and the ordinate at the origin is 2. If (a/, y,) is on the axis of a?,...
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REPORT OF THE DIRECTOR OF PUBLIC INSTRUCTION, BOMBAY, FOR THE YEAR 1858-59.

EDUCATION SOCIETY'S PRESS, CULLA - 1860 - 612 pages
...equation may be put under the form AC BB C in this is the intercept made by the line on the axis ofy B A & is the tangent of the angle made by the line with the B axis of x This equation represents a right line because in the first place it is linear that is of...
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A Treatise on the Differential and Integral Calculus

Théodore Strong - Calculus, Integral - 1869 - 640 pages
...to the plane x, y ; then, y being the distance of this point from the plane 2, x and b the natural tangent of the angle made by the line with the axis of y, we shall, as before, have 2 = c + ax + by for the equation of the plane ; in which b is positive...
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Elements of the Differential and Integral Calculus: By a New Method, Founded ...

Catherinus Putnam Buckingham - Calculus - 1875 - 374 pages
...point is , / i\ y—y =a\* — x ) in which y and x' are the coordinates of the given point, and a the tangent of the angle made by the line with the axis of abscissas. Hence for any curve in which x and y are the coordinates of the point of tangency, the equation...
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Elements of the Differential and Integral Calculus: By a New Method, Founded ...

Catherinus Putnam Buckingham - Calculus - 1875 - 362 pages
...any given point is y—y'=a(x—x') in which y and x' are the coordinates of the given point, and a the tangent of the angle made by the line with the axis of abscissas. Hence for any curve in which x' and y are the coordinates of the point of tangency, the...
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Proceedings, Abstracts of Lectures and a Brief Report of the Discussions of ...

National Education Association of the United States - Education - 1898 - 1154 pages
...but the line represented by the equation may have an infinite number of positions, and therefore a, the tangent of the angle made by the line with the axis of abscissas, may vary between zero and plus or minus infinity. Thus the so-called constant a is itself...
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Analytic Geometry, a First Course

William Henry Maltbie - Geometry, Analytic - 1906 - 156 pages
...of the first degree. (Problem 10. Paragraph 24.) III. If the equation be of the form y = mx -\- h m is the tangent of the angle made by the line with the X axis and h is the intercept on the Y axis. (Problem 10. Paragraph 24.) IV. If the equation be of...
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