L. — Quaternions, O
XVI KOTK BIBLIOGRAPHIQUE.
Mémoires ou articles divers.
G. Bellavitis, Suîcalcoîo dei quaterniont. Undecima Rivista tli Gioriialî, 1871, p. ao4.
Sul calcolo dci quaternioni ossia teoria dei rapporti geometrici nello spazio» Duodecima Rivista di Giornali, 1873. p. 69.
Sur la Thèse de M. Laisantf relative au calcul des quaternions. Quattordicesima Rivista di Giornali, 1878, p. 116.
A.-B. Ghace, a certain class of cubic surfaces treated by quaternions, American Journal of Matbematics, 1879, ^' ^^^ P* ^*^'
Clifford , Applications of Grassmann*s extension Algebra, American Journal of Mathematics, 1878, t. I, p. 35o.
Dux.?(ER, Mathematische Annalen, t. XI, p. 168.
Grassmann, Mathematische Annalen, t. XII, p. 375.
W.-R. Hamilton, On quaternions. Philosophical Magazine, i844i *• XXV, p. io-i3, 241-246, 489-49J; 1845, t. XXVI, p. 120-224; 1846, i. XXIX, p. 26-3 1, Il 3-1 22, 326-328; 1847, t. XXX, p. 458-461 ; 1847, t. XXXI, p. 214-219, 278-293, 5i 1-519; 1848, t. XXXII, p. 367-374; 1848, t. XXXUl, p. 58-6o; 18^49, t. XXXIV, p. 294-297, 34o-343, 425-439, et t. XXXV, p. 137, 200-204 ; i85o, t. XXXVI, p. 3o5-3o6. Brit. Association Rep., i8i4i P< 3* Cambridge and Dublin Math. Journ., 1849, t. IV, p. 161-168. Irish Academy Transactions, 1848, t. XXI, p. 199- 296. Nouv. Ann. Math., i853, t. XII, p. 275-283.
On the application of the Calculus of quaternions to the theorjr of the Moon. Irish Academy Proceedings, 1847, *• ^^'* P* 5o7-52o.
On theorems relating to surfaces obtained bjr the method of quaternions. Irish Acad. Proc, i85o, t. IV, p. 3o6-3o8.
On a theorem respecting ellipsoids obtained by the method of quaternions. Irish Acad. Proc, i85o, t. IV, p. 349-355.
On continued fractions in quaternions. PInlos. Mag., i852, t. III, p. 371- 373; i852, t. IV, p. 3o3; i853, t. IV, p. 117-118, 236-238, 321-326.
On the connection of quaternions with continued fractions and quadra^ tic équations. Irish Acad. Proc, i853, t. V, p. 219-221, 299-301.
On the geometrical interprétation of some results obtained by calculation with biquaternions. Irish Acad. Proc, i853, t. V, p. 388-4oo.
On the geometrical démonstration of some theorems by means of the quaternion Analysis. Irish Acad. Proc, i853, t. V, p. 407-422.
On some extensions of quaternions. Irish Acad. Proc, 1 853-54, t. VI, p. 1 i4-ii5. Phîl. Mag., 1854, t. VII, p. 492-499 ; 1854, t. Vlll, p. 125- 187, 261-269; ï855, t. IX, p. 46-5i, 280-290.
On some quaternion équations connected with Fresnel's wave surface for biaxal crjrstals. Irish Acad. Proc, i858, t. VII, p. 122-124, i63-i64. British Assoc Rep., 1809, P* ^4^* ^^^* Hist. Rewiew, 1859, t. VI, p. 240- 2|2, 365.
KOTR BIBLIOGHAPHIQUE. XVII
Quaternion proof that e'ight perhneters of the regular inscribcd polygon
of tivèntjr sides exceed twentjr-five diameters of the circle, Phil. Mag;. ,
1862, t. XXIII, p. 267-269.
On the existence of a sjrmbolic and hiquadratic équation which is satis-
Jiedbjr the symhol of linear or distrihutive opération on a quaternion,
Pbil. Mag., 1862, t. XXIV, p. 127-128. Irish Acad. Proc, 1864, t. VIII,
p. 190-191. On a new and gênerai method of inverting a linear and quaternion func^
tion of a quaternion. Irish Acad. Proc, 18G4, t. VIII, p. i82-i83. C.-A. Laisant, Note sur un théorème sur les mouvements relatifs. Comptes
rendus des séances de l'Académie des Sciences, 1878, t. LXXXVII,
A.-L. LowELL, Surfaces of the second order as treàttd by quaternions.
Proc. of the american Acad. Cambridge, 1878.
W.-J. Stringuam, The quaternions formula: for quantification of curves,
surfaces and for barjcentres. American Journ. of Math., 1879, t. II,
Studnicea, Casopis (Joitrnal bohémien), t. V.
Recueils de la Société royale de Prague, 1876, p. i83.
Tait, Quaternion investigations connected with FresneVs wave surjace.
Quarteily Journ. Matb., 1860, t. III, p. 269-270. Quaternion investigation of the potential of a closed circuit. Quart.
Journ. Math., 1861, t. IV, p. i43-i44.
Quaternions. Messenger of Math., 1862, p. 78-91, i4o-i56, 208-220. Note on a quaternion transformation. Edinburgh Roy. Soc. Proc, i863,
Elementary phj'sical applications of quaternions. Quart. Journ. Math.,
1864, t. VI, p. 279-801.
On the application ofHamiltons characteristic function to spécial cases
of constraint. Edinburgh Roy. Soc. Proc, 1866, t. V, p. 407- Edinb.
Roy. Soc. Trans., 1867, t. ^XIV, p. 147-166.
On some quaternion intégrais. Edinb. Roy. Soc. Proc, 1872, t. VII,
On some quaternion transformations. Edinb. Roy. Soc Proc, 1872,
t. VII, p. 5oi-5o3.
Versluys., Niemv Jrchief, t. II, p. i35.