A Treatise on Algebra: Symbolical algebra and its applications to the geometry of positionsJ. & J. J. Deighton, 1845 |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 25.
Σελίδα viii
... tangents , cotangents , secants , cosecants and versed sines of angles CHAPTER XXIX . On the construction of a canon of sines and cosines , tangents and cotangents , secants and cosecants ........ CHAPTER XXX . .......... On Demoivre's ...
... tangents , cotangents , secants , cosecants and versed sines of angles CHAPTER XXIX . On the construction of a canon of sines and cosines , tangents and cotangents , secants and cosecants ........ CHAPTER XXX . .......... On Demoivre's ...
Σελίδα 89
... tangent drawn to the circle shall be equal blem . to a given line . Let AB ( 2c ) be the given chord , and CD ( 1 ) the given line : assume P to be the point in the chord BA pro- duced , from which the tangent PT drawn to the circle is ...
... tangent drawn to the circle shall be equal blem . to a given line . Let AB ( 2c ) be the given chord , and CD ( 1 ) the given line : assume P to be the point in the chord BA pro- duced , from which the tangent PT drawn to the circle is ...
Σελίδα 90
... tangent PT , drawn to the circle , is equal in length to the given line CD ( 1 ) , and we denote PA , the assumed distance of P from A , by x : the conditions of the problem , which are involved in the general property of the tangent of ...
... tangent PT , drawn to the circle , is equal in length to the given line CD ( 1 ) , and we denote PA , the assumed distance of P from A , by x : the conditions of the problem , which are involved in the general property of the tangent of ...
Σελίδα 91
... tangent PT drawn to the circle from the point P thus determined , is equal to the given line CD . We then subjoin the proof , by which the correctness of this construction , or synthesis , is established . : cesses of The processes of ...
... tangent PT drawn to the circle from the point P thus determined , is equal to the given line CD . We then subjoin the proof , by which the correctness of this construction , or synthesis , is established . : cesses of The processes of ...
Σελίδα 180
... applicable , that we are at liberty to resort to the generalization of Symbolical Algebra . · The corresponding biquadratic equation is cos e = 8 cos 2-8 cos2 + 1 . CHAPTER XXVIII . ON THE TANGENTS , COTANGENTS , SECANTS 180.
... applicable , that we are at liberty to resort to the generalization of Symbolical Algebra . · The corresponding biquadratic equation is cos e = 8 cos 2-8 cos2 + 1 . CHAPTER XXVIII . ON THE TANGENTS , COTANGENTS , SECANTS 180.
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.