10 АНГЛІЙСЬКА КНИЖКИ ПОВ'ЯЗАНІ ІЗ «SUBTANGENT»
Дізнайтеся про вживання
subtangent з наступної бібліографічної підбірки. Книжки пов'язані зі словом
subtangent та короткі уривки з них для забезпечення контексту його використання в англійська літературі.
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.
