A Treatise on Algebra: Symbolical algebra and its applications to the geometry of positionsJ. & J. J. Deighton, 1845 |
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Σελίδα ix
... sine and co- sine of an angle 278 284 CHAPTER XXXVIII . On the relations of zero and infinity ......... .. CHAPTER XXXIX . On the decomposition of rational fractions with compound deno- minators into partial fractions 294 308 CHAPTER XL ...
... sine and co- sine of an angle 278 284 CHAPTER XXXVIII . On the relations of zero and infinity ......... .. CHAPTER XXXIX . On the decomposition of rational fractions with compound deno- minators into partial fractions 294 308 CHAPTER XL ...
Σελίδα 156
... sine ON THE THEORY OF THE SINES AND COSINES OF ANGLES . 754 . which is AN angle , such as BAP , is determined by its measure , P BP AB ( Art . 746 ) : but there are other ratios which equally determine an angle , though they do not ...
... sine ON THE THEORY OF THE SINES AND COSINES OF ANGLES . 754 . which is AN angle , such as BAP , is determined by its measure , P BP AB ( Art . 746 ) : but there are other ratios which equally determine an angle , though they do not ...
Σελίδα 157
... sine and cosine which are given in the last Article , that π PAm , or 2 that Pm AP Am is the sine , and is the cosine of the angle AP 0 : but since Pm = AM and PM = Am , it follows Pm AP AP AM and Am AP PM AP π and therefore the cosine ...
... sine and cosine which are given in the last Article , that π PAm , or 2 that Pm AP Am is the sine , and is the cosine of the angle AP 0 : but since Pm = AM and PM = Am , it follows Pm AP AP AM and Am AP PM AP π and therefore the cosine ...
Σελίδα 158
... sine and that cosine of = BC AC sin BAC and AB = AC cos BAC : A the angle at the base . Funda- mental B if ... sine and cosine . AM AP it follows that " PM2 + AM2 AP2 sin20 + cos 0 : == 1 : AP2 AP for in the right - angled triangle , PAM ...
... sine and that cosine of = BC AC sin BAC and AB = AC cos BAC : A the angle at the base . Funda- mental B if ... sine and cosine . AM AP it follows that " PM2 + AM2 AP2 sin20 + cos 0 : == 1 : AP2 AP for in the right - angled triangle , PAM ...
Σελίδα 159
... the other : and if we sub- tract the same number repeatedly from another , as 1 from 4 , we get a series of 1 m M B remainders 3 , 2 , 1 , 0 , - - 1 , - -2 , -3 , which The sine of goniome- trical an- gles which differ by 159.
... the other : and if we sub- tract the same number repeatedly from another , as 1 from 4 , we get a series of 1 m M B remainders 3 , 2 , 1 , 0 , - - 1 , - -2 , -3 , which The sine of goniome- trical an- gles which differ by 159.
Συχνά εμφανιζόμενοι όροι και φράσεις
A₁ angle of transfer application arith Arithmetical Algebra assumed becomes biquadratic equation Chapter coefficients common divisor considered corresponding cos² cosecant cotangent cube roots cubic equation denote determined divergent series divisor equa equal equisinal equivalent forms examples expression factors figure follows formula fraction geometrical angle given in Art goniometrical angle greater identical inasmuch indeterminate infinity involve last Article less likewise logarithms magnitude and position metical multiple negative nth roots operations period primitive equation primitive line problem proposition quadratic quotient radius ratio replace represent right angles shewn sides similar manner sin² sine and cosine solution square root subtraction successive Symbolical Algebra tangent tion triangle unknown quantities values whole number zero
Δημοφιλή αποσπάσματα
Σελίδα 88 - AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part.
Σελίδα 235 - The logarithm of . the quotient of two numbers, is equal to the logarithm of the dividend diminished by the logarithm of the divisor.
Σελίδα 235 - The logarithm of a product is the sum of the logarithms of its factors.
Σελίδα 248 - The sides of a triangle are proportional to the sines of the opposite angles.
Σελίδα 455 - Inquiry into the Validity of a Method recently proposed by George B. Jerrard, Esq., for Transforming and Resolving Equations of Elevated Degrees: undertaken at the request of the Association by Professor Sir WR Hamilton.
Σελίδα 359 - HAMILTON. A publication which is justly distinguished for the originality and elegance of its contributions to every department of analysis.
Σελίδα 21 - The coefficient of the quotient must be, found by dividing the coefficient of the dividend by that of the divisor ; and 2.
Σελίδα 166 - Given the sines and cosines of two angles, to find the sine and cosine of their sum or difference.
Σελίδα 395 - ... and it is in this sense, and in this sense only, that...
Σελίδα 262 - Fink not only discovered the law of tangents, but pointed out its principal application; namely, to aid in solving a triangle when two sides and the included angle are given.