10 ENGLISH BOOKS RELATING TO «SUBTANGENT»
Discover the use of
subtangent in the following bibliographical selection. Books relating to
subtangent and brief extracts from same to provide context of its use in English literature.
1
An Elementary Course in Analytic Geometry
The subtangent is the length TM, where M is the foot of the ordinate of the point of
tangency Px ; and the subnormal is the corresponding length MN. As thus taken,
the 'sub- tangent and the subnormal are of the same sign ; ordinarily, however, ...
John Henry Tanner, Joseph Allen, 1808
Find the tangent, subtangent, normal, subnormal and the intercepts of the tangent
on the axes at the point / on the cycloid x = <j ( / + sin f ) ; y = a ( 1 - cos t ) 2. Show
that in the case of the parabola y 2 = 4 a x , the subnormal is of constant length ...
3
Of the integral calculus
Now, to make use of the mark / to signify the integral, sum, or fluent, all which
mean the same thing ; and of the mark /, which means the logarithm, it will be/— =
ly, in the logarithmic curve, the subtangent of which is a. After the fame manner, ...
Maria Gaetana Agnesi, John Hellins, Francis Maseres, 1801
Again the length of polar normal = r cosec <p = r cosec (x/2 + 0/2) = r sec 0/2 = a (
1 + cos 0) sec 1 0 = 2a cos2 ^0 sec ^0 = 2a cos^0. 2 2 2 Ex. 7. Find the polar
subtangent for the following curves : (a) l/r = 1 + e COS0 (Meerut 1998) (b) r ...
William L. Schaaf. d M Q = M P1-tan ¢ = y; i = length of subnormal [4] EXAMPLE 1
. Find the lengths of the subtangent and the subnormal to the curve a:2 = 811 + 4
when a: = 6. . _ dy dy #0 Solutzon. 2:0 — dz , or dx - 4 - Atxl = 6,311 = 4; 4 8 h bt ...
6
A New Mathematical and Philosophical Dictionary: Comprising ...
In all curves the subnormal is a third proportional to the subtangent and the
ordinate; and in the parabola it is a constant (juaiitily, being equal to half the
parameter of the axis. SUBSTITUTION, in Algebra, is the put- ling or using one
quantity for ...
7
The Edinburgh encyclopaedia
41 of the former ; at this temperature, therefore, our author found the subtangent
of the atmospheric logarithm equal to the subtangent of Briggs' logarithm in Paris
toises. The formula 1 0.000 ^L — -^y^J becomes, then, accord- „ . . / m . 80 .
8
A Course of Mathematics in Two Volumes, Composed for the Use ...
It is often, however, found convenient in spirals, properly so called, to put r = a; as
it frequently simplifies the dependent reductions. In such case the 4'? (iii Applying
this to the example before us, we have _ 9 value of the subtangent is simply r2 ...
Charles Hutton, Thomas Stephens Davies, 1843
9
The Elements of Analytical Geometry; Comprehending the ...
The length of the subtangent is T, : 21". The length of the normal is N = 2 V m' + m'
. The length of the subnormal is N I : 2m. These expressions lead immediately to
several properties of the curve. Thus the expression for the subtangent at once ...
10
Application of Calculus : Theory & Problems
Sunil Kumar Maity. Thus, Subtangent = y y1 and Subnormal = yy1. PT is the
portion of the tangent intercepted between x-axis and the point of contact.
Similarly, PN is the portion of the normal intercepted between x-axis and the point
of contact.
