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Title: Note on a direct method of obtaining the expansion of the sine or cosine of multiple arcs in terms of powers of the sines or cosines of the simple arc by means of De Moivre's Theorem

Creator:

Sylvester, James Joseph (1814–1897)

Date issued/created:

1908

Resource type:

Text

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Publisher:

Cambridge University Press

Place of publishing:

Cambridge

Type of object:

Book/Chapter

Start page:

294

End page:

297

Detailed Resource Type:

Article

Resource Identifier:

oai:rcin.org.pl:115339

Source:

IM PAN, call no. 11.371/2 ; click here to follow the link

Language:

eng

Rights:

Public Domain

Digitizing institution:

Institute of Mathematics of the Polish Academy of Sciences

Original in:

Library of the Institute of Mathematics of the Polish Academy of Sciences

Projects co-financed by:

Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget. ; European Union. European Regional Development Fund

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Open

Object collections:

• Digital Repository of Scientific Institutes > Partners' collections > Institute of Mathematics PAS > Books
• Digital Repository of Scientific Institutes > Literature > Books/Chapters

Last modified:

Mar 31, 2022

In our library since:

Feb 27, 2020

Number of object content downloads / hits:

25

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https://rcin.org.pl./publication/139789

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• Sylvester, James Joseph (1814-1897), 1908, The collected mathematical papers of James Joseph Sylvester. Vol. 2, (1854-1873) with two plates
  • Sylvester, James Joseph (1814-1897), 1908, The collected mathematical papers of James Joseph Sylvester. Vol. 2, (1854-1873), Spis treści i dodatki
  • Sylvester, James Joseph (1814-1897), 1904, On the double square representation of prime and composite numbers
  • Sylvester, James Joseph (1814-1897), 1908, A probationary lecture on geometry, 1854
  • Sylvester, James Joseph (1814-1897), 1908, Note on Sir John Wilson's theorem
  • Sylvester, James Joseph (1814-1897), 1908, On the calculus of forms, otherwise the theory of invariants
  • Sylvester, James Joseph (1814-1897), 1908, Theoreme sur les determinants
  • Sylvester, James Joseph (1814-1897), 1908, Note on a point of notation
  • Sylvester, James Joseph (1814-1897), 1908, Note on the "enumeration of the contacts of lines and surfaces of the second order"
  • Sylvester, James Joseph (1814-1897), 1908, Note on a formula by aid of which and of a table of single entry the continued product of any set of numbers [...]
  • Sylvester, James Joseph (1814-1897), 1908, On some new theorems in arithmetic
  • Sylvester, James Joseph (1814-1897), 1908, Note on Burman's law for the inversion of the independent variable
  • Sylvester, James Joseph (1814-1897), 1908, On differential transformation and the reversion of serieses
  • Sylvester, James Joseph (1814-1897), 1908, A trifle on projectiles
  • Sylvester, James Joseph (1814-1897), 1908, Note on an intuitive proof of the existence of twenty-seven conics of closest contact with a curve of the third degree
  • Sylvester, James Joseph (1814-1897), 1908, Letter on Professor Galbraith's construction for the range of projectiles
  • Sylvester, James Joseph (1814-1897), 1908, Recherches sur les solutions en nombres entiers positifs ou négatifs de l'équation cubrique homogène à trois variables
  • Sylvester, James Joseph (1814-1897), 1908, On the change of systems of independent variables
  • Sylvester, James Joseph (1814-1897), 1908, On a discovery in the partition of numbers
  • Sylvester, James Joseph (1814-1897), 1908, On the partition of numbers
  • Sylvester, James Joseph (1814-1897), 1908, Note on a formal property of a laten integer
  • Sylvester, James Joseph (1814-1897), 1908, Note on a principle in the theory of numbers and the resolubility of any number into the sum of four squares
  • Sylvester, James Joseph (1814-1897), 1908, Development of an idea of Einstein
  • Sylvester, James Joseph (1814-1897), 1908, Note on the algebraical theory of derivative points of curves of the third degree
  • Sylvester, James Joseph (1814-1897), 1908, Note on the equation in numbers of the first degree between any number of variables with positive coefficients
  • Sylvester, James Joseph (1814-1897), 1908, On the problem of the virgins, and the general theory of compound partition
  • Sylvester, James Joseph (1814-1897), 1908, On a generalization of Poncelet's theorems for the linear representation of quadratic radicals
  • Sylvester, James Joseph (1814-1897), 1908, Outllines of seven lectures on the partitions of numbers
  • Sylvester, James Joseph (1814-1897), 1908, Théorie des nombres
  • Sylvester, James Joseph (1814-1897), 1908, Théorie des nombres
  • Sylvester, James Joseph (1814-1897), 1908, Note sur certaines séries qui se présentent dans la théorie des nombres
  • Sylvester, James Joseph (1814-1897), 1908, Sur la fonction E(x)
  • Sylvester, James Joseph (1814-1897), 1908, On Poncelet's approximate linear valuation of surd forms
  • Sylvester, James Joseph (1814-1897), 1908, Meditation on the idea of Poncelet's theorem
  • Sylvester, James Joseph (1814-1897), 1908, Notes to the meditation on Poncelet's theorem, including a valuation of two new definite integrals
  • Sylvester, James Joseph (1814-1897), 1908, On the pressure of earth on revetment walls
  • Sylvester, James Joseph (1814-1897), 1908, On an equation in the theory of numbers
  • Sylvester, James Joseph (1814-1897), 1908, Sur une propriété des nombres premiers qui se rattache au théorème de Fermat
  • Sylvester, James Joseph (1814-1897), 1908, Addition à la note insérée dans le précédent Compte rendu
  • Sylvester, James Joseph (1814-1897), 1908, Note relative aux communications faites dans les Séances des 28 Janvier et 4 Février 1861
  • Sylvester, James Joseph (1814-1897), 1908, Sur l'involution des lignes droites dans l'espace considérées comme des axes de rotation
  • Sylvester, James Joseph (1814-1897), 1908, Note sur l'involution de six lignes dans l'espace
  • Sylvester, James Joseph (1814-1897), 1908, Note sur les 27 droites d'une surface du 3e degré
  • Sylvester, James Joseph (1814-1897), 1908, Généralisation d'un théorème de M. Cauchy
  • Sylvester, James Joseph (1814-1897), 1908, Addition à la note intitulée: "Généralisation d'un théorème de M. Cauchy"
  • Sylvester, James Joseph (1814-1897), 1908, Démonstration directe du théorème de Lagrange, sur les valeurs numériques minima d'une fonction linéaire à coefficients entiers d'une quantité irrationnelle
  • Sylvester, James Joseph (1814-1897), 1908, Note on the numbers of Bernoulli and Euler and a new theorem concerning prime numbers
  • Sylvester, James Joseph (1814-1897), 1908, Note on the historical origin of the unsymmetrical six-valued function of six letters
  • Sylvester, James Joseph (1814-1897), 1908, On a problem in tactic which serves to disclose the existence of a four-valued function of three sets of three letters each
  • Sylvester, James Joseph (1814-1897), 1908, Concluding paper on Tactic
  • Sylvester, James Joseph (1814-1897), 1908, Remark on the Tactic of nine elements
  • Sylvester, James Joseph (1814-1897), 1908, On a generalization of a Theorem of Cauchy
  • Sylvester, James Joseph (1814-1897), 1908, Note on a direct method of obtaining the expansion of the sine or cosine of multiple arcs in terms of powers of the sines or cosines of the simple arc by means of De Moivre's Theorem
  • Sylvester, James Joseph (1814-1897), 1908, Note on certain definite integrals
  • Sylvester, James Joseph (1814-1897), 1908, On the involution of axes of rotation
  • Sylvester, James Joseph (1814-1897), 1908, Addition à la démonstration du Théorème de Lagrange sur les minima d'une fonction linéaire à coefficients entiers d'une quantité irrationnelle
  • Sylvester, James Joseph (1814-1897), 1908, On the solution of the linear equation of finite differences in its most general form
  • Sylvester, James Joseph (1814-1897), 1908, Sur une classe nouvelle d'équations différentielles et d'équations aux différences finies d'une forme intégrable
  • Sylvester, James Joseph (1814-1897), 1908, Addition à une Note sur une forme nouvelle d'équations différentielles et intégrables
  • Sylvester, James Joseph (1814-1897), 1908, On the integral of the general equation in differences
  • Sylvester, James Joseph (1814-1897), 1908, On the quantity and centre of gravity of figures given in perspective, or homography
  • Sylvester, James Joseph (1814-1897), 1908, On a question of compound arrangement
  • Sylvester, James Joseph (1814-1897), 1908, On a Theorem relating to polar umbrae
  • Sylvester, James Joseph (1814-1897), 1908, Sylvester, James Joseph (1814-1897), 1908, The collected mathematical papers of James Joseph Sylvester. Vol. 2, (1854-1873) with two plate
  • Sylvester, James Joseph (1814-1897), 1908, Sequel to the Theorems relating to "Canonic Roots"
  • Sylvester, James Joseph (1814-1897), 1908, Observations on the method for finding the centre of gravity of a quadrilateral
  • Sylvester, James Joseph (1814-1897), 1908, On the centre of gravity of a truncated triangular pyramid, and on the principles of barycentric perspective
  • Sylvester, James Joseph (1814-1897), 1908, Note on a Theorem of the Integral Calculus
  • Sylvester, James Joseph (1814-1897), 1908, Théorème sur la limite du nombre des racines réelles d'une classe d'équations algébriques
  • Sylvester, James Joseph (1814-1897), 1908, Sur une extension de la Théorie des équations algébriques
  • Sylvester, James Joseph (1814-1897), 1908, Sur une extension de la Théorie des Résultants algébriques
  • Sylvester, James Joseph (1814-1897), 1908, Addition à une Note insérée dans le Compte Rendu de la Séance précédente
  • Sylvester, James Joseph (1814-1897), 1908, Addition à la Note sur une extension de la Théorie des Résultants algébriques
  • Sylvester, James Joseph (1814-1897), 1908, Sur la Théorie des racines réelles et imaginaires des équations du cinquième degré
  • Sylvester, James Joseph (1814-1897), 1908, Correction de la Note insérée dans les Comptes Rendus pour la séance du 7 Novembre
  • Sylvester, James Joseph (1814-1897), 1908, Algebraical researches, containing a disquisition on Newton's Rule for [...]
  • Sylvester, James Joseph (1814-1897), 1908, On a special class of questions on the Theory of Probabilites
  • Sylvester, James Joseph (1814-1897), 1908, Note sur les conditions nécessaires et suffisantes pour distinguer, le cas quand toute les racines d'une équation du cinquième degré sont réelles
  • Sylvester, James Joseph (1814-1897), 1908, Théorème d'Arithmétique
  • Sylvester, James Joseph (1814-1897), 1908, Rectification et démonstration d'un Théorème d'Arithmétique
  • Sylvester, James Joseph (1814-1897), 1908, Sur les limites du Nombre des racines réelles des équations algébriques
  • Sylvester, James Joseph (1814-1897), 1908, Théorème d'Algèbre élémentaire
  • Sylvester, James Joseph (1814-1897), 1908, On Newton's Rule for the discovery of imaginary roots of equations
  • Sylvester, James Joseph (1814-1897), 1908, On a Theorem concerning Discriminants
  • Sylvester, James Joseph (1814-1897), 1908, On Lambert's Theorem for Elliptic Motion
  • Sylvester, James Joseph (1814-1897), 1908, On an elementary proof and generalization of Sir Isaac Newton's hitherto undemonstrated Rule for the discovery of imaginary roots
  • Sylvester, James Joseph (1814-1897), 1908, Observations sur un Article de M. Poulain
  • Sylvester, James Joseph (1814-1897), 1908, On an addition to Poinsot's ellipsoidal mode of representing the motion of a rigid body turning freely round a fixed point, whereby the time may be made to register itself mechanically
  • Sylvester, James Joseph (1814-1897), 1908, Astronomical prolusions: commencing with an instantaneous proof of Lambert's and Euler's Theorems, and modulating through a construction of the orbit of [...]
  • Sylvester, James Joseph (1814-1897), 1908, On an improved form of statement of the new Rule for the separation of the roots of an algebraic equation, with a Postscript containing a new Theorem
  • Sylvester, James Joseph (1814-1897), 1908, Note on the periodical changes of orbit, under certain circumstances, of a particle acted on by a central force, [...]
  • Sylvester, James Joseph (1814-1897), 1908, Supplemental Note on the Analogues in space to the Cartesian ovals in plano
  • Sylvester, James Joseph (1814-1897), 1908, Note on a Memoria Technica for Delambre's commonly called Gauss's, Theorems
  • Sylvester, James Joseph (1814-1897), 1908, Note on the properties of the test operators which occur in the Calculus of Invariants, their derivatives, analogues, and laws of combination; [...]
  • Sylvester, James Joseph (1814-1897), 1908, On the motion of a rigid body acted on by no external forces
  • Sylvester, James Joseph (1814-1897), 1908, On the motion of a rigid body moving freely about a fixed point
  • Sylvester, James Joseph (1814-1897), 1908, On the multiplication of partial differential operators
  • Sylvester, James Joseph (1814-1897), 1908, Thoughts on inverse orthogonal matrices, simultaneous sign-successions, and tessellated pavements in two or more colours, with applications to Newton's Rule, ornamental tile-work, and the Theory of Numbers
  • Sylvester, James Joseph (1814-1897), 1908, On the succesive involutes to a circle
  • Sylvester, James Joseph (1814-1897), 1908, Note on successive involutes to a circle
  • Sylvester, James Joseph (1814-1897), 1908, On successive involutes to a circle. Second note
  • Sylvester, James Joseph (1814-1897), 1908, Address to the Mathematical and Physical Section of the British Association
  • Sylvester, James Joseph (1814-1897), 1908, On Professor Christina Wiener's Stereoscopic representation of the cubic eikosiheptagram
  • Sylvester, James Joseph (1814-1897), 1908, On the successive involutes to a circle
  • Sylvester, James Joseph (1814-1897), 1908, Outline trace of the theory of reducible Cyclodes, that is a particular family of successive involutes to a circle whose determination depends on [...]
  • Sylvester, James Joseph (1814-1897), 1908, The story of an equation in differences of the second order
  • Sylvester, James Joseph (1814-1897), 1908, Note on a new continued fraction applicable to the quadrature of the circle
  • Sylvester, James Joseph (1814-1897), 1908, On two remarkable Resultants arising out of the theory of rectifiable compound logarithmic waves
  • Sylvester, James Joseph (1814-1897), 1908, Note on the theory of a point in Partitions
  • Sylvester, James Joseph (1814-1897), 1908, On an elementary proof of Sir Isaac Newton's hitherto undemonstrated rule given in the Arithmetica Universalis, for the discovery of imaginary roots in algebraical equations
  • Sylvester, James Joseph (1814-1897), 1908, On the Partition of an even number into two primes
  • Sylvester, James Joseph (1814-1897), 1908, On the theorem that an Arithmetical Progession which contains more than one, contains an infinite number of prime numbers
  • Sylvester, James Joseph (1814-1897), 1908, Appendix. Additional Notes to Professor Sylvester's Exeter British Association Address
  • Sylvester, James Joseph (1814-1897), 1908, On the Incorrect Description of Kant's Doctrine of Space and Time

Edition name	Date
Sylvester, James Joseph (1814-1897), 1908, Note on a direct method of obtaining the expansion of the sine or cosine of multiple arcs in terms of powers of the sines or cosines of the simple arc by means of De Moivre's Theorem	Mar 31, 2022

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