C A R 



in every part of it he shews himaelf eminently 

 skilled in the various branches of algebra. l)r Hut- 

 ton* has given a very full and interesting analysis of 

 Cardan's work, and a list of his analytical improve- 

 ments, to which we must refer our readers for far- 

 ther information on this subject. 



The writings of Cardan, which are extremely 

 numerous, were collected into ten volumes folio, and 

 published at Lyons in 1663. Many of them are 

 hasty productions, which were printed only to relieve 

 his pecuniary wants. 



The following is a complete list of the different 

 works of our author. 



Liber de vita prnpria. Ephcmeris de Hbris pro- 

 priis. De Socratis studio. <) ratio ad Cardinafcm 

 Alciatum. In Thessalum Medicitm Actio secunda. 

 Encomium Neronis. Encomium Podagrce, et Mne- 

 mosynon. De Orthographia. De Ludo alca>. Dia- 

 Icclica. Contradict tones Logical de uno. Hyperchon. 

 Ncrma vita: consarcinata;, Sacra vocala. Protend a, 

 scu dc Prndcnlia civili. De Prceceplix adjllios. De 

 optima vitw gcnere. De Sapientia. De summo lo- 

 110. De Consolalionc. Dialogus Hiooni/mi Carda- 

 iti ct Facii Cardani patris. Dialogus Antigorgias, 

 seu de recta riroidi ralione. Dialngus Tclim, seu de 

 /inmanit consiliis. Dialogus de Marie, xeu Gugliel- 

 mus. Dc Minimis ct propinqiiix. Hymnus ad Deum. 

 Dc utilitate ex adversis cnpienda. De Natura. 

 TheognostSn libri V. Dc Inun rtalitatc animarum. 

 Dc Secretis. De Gcmmis ct Coloribus. De Aqua. 

 De 1'itali Ayita, sen JEthere. De Aceti Natura. 

 Problemalnin Sect tones VII. Discorso del Vncuo. 

 Se la qualita pno trapassare di subjctto in mbjello. 

 De Fulgurc. De Sublilitate. Aclio prima in calum- 

 nialorum librorum de Sublilirate. De Renim Va- 

 rietate. De Numerorum Prnprietatibus. Praclica 

 Arithmetical. Compiling minor. Dc Regulis Alge- 

 l.raicis. Liber artis man(e. De Aliza Regula. Ser- 

 mo de plus et minus. Exarelon Malhematicorum. En- 

 romium Gcomelrice. Operationc del/a Linea. De 

 I'roportionifjux ninnerarum, moluum, poiuierum, sono- 

 rum. Delia Natura de Principii e Regale Musical!. 

 De Rcstitulione temporum et moluum coelestium. De 

 Pronr/cntia ex anni constitutions Aphnrismomm 

 Asironomicorum Segmata VII. Commentarii tnPto- 

 loma'um, de astrorum Jndiciis. De sept em er rat tea 

 rum stcllarum Ninons. Dc Inleirogatiortibus Libel- 

 Ins. De Judiciis geniturarum. De Exempli* ccn- 

 ium geniturarum. Liber duodecim geniturarum. De 

 fntionibus. De Supplcmento Almanack. S/.m- 

 nt(,nnn St/ncsiornm Libri. Encomium Medicinal. 

 De Sanitate tuenda. Contradiccnt/um Medicorum 

 libri X. De usu cibonim Dc Causis, Signts. ac 

 morborum. De L'rinis. Ars curandi parva. 

 Melhodo medendi. De Radice China. De de- 

 nia^nis. Dc Xarsaparilla. De Osymeliti* usu 

 in plcn titidc. Dc /',/,< tis. Com mentor it in libnun 

 Hippncralis, dc Aliniento. Cnmmentarii in liuruin 

 Hipp' craltx dc Acre, Aquis, ct Lo: is. Commentarii 

 in Aiihnrisiiiox Hippncxili<. C nclusiones Lapidibus 

 Galt-iii in explication? Aphorism, ruin. Apologia ad 

 Andrea m Cn minium. Lontnicntani i.. lihnnn I^og- 

 xosticorum llippocratis. Comment, in liu> urn Hip. 



CAR 



poet mestri Pnt-tu. / ! < XXI f. 



cegrorunt Hippocrattt in Epidcm. < r.'lia varia. 

 Opit'ctiln M'-iiica Senilia, tire de Denlibtis liltfr V. 

 sen de Morbis arlicnliu -Unix, l-'inridn mm Libri, give 

 Comment, in Principi-ni II . I'ila I."' 1 

 rarii et Alciati. Dc Arcanis cclcrnilatis. Politico:, 

 seu Moraliuni, liber I. Limn nta Lingua Gracee. 

 De Invcntione. DeNaturalib><\ I'iiibnu. D>- Musica. 

 D, / a ti'^, /.:, Tractatus Arithmetics. Exj*n>itio Ana- 

 lomifC Mniiilini. Commentarii in libros Hippocratif 

 de Victu in acntis, et in libros 1 1. priores Epidem. 

 ejiisdcm. DP Epilepsia. Ds Apoplexia. Dc huma- 

 tns ciiiilibiis Successionibuj<. DC hum-inn I'er/ectifjne. 

 De Admirandis. De Dubiis naturalibus. De Rebus, 

 Factis raris, et Arti/iciis. De liumana Competition* 

 natinalium. De Mirabilibtu morbis ct S>/i/t/oma- 

 tibus. De astrnrum et temporum Ratiane et Divi- 

 sionibus. De Maihematicis qucesilix. I{i<iorite la- 

 pidum, metallicortim, et metallorum. Historic ani- 

 malium. Hittnrice plantarum. De Anima. DeD"- 

 biis ex Historia. De clarorttm rirorurn Vila el Liijris. 

 De liominum antiqnorum illmtriitm Judicio. De usu 

 hominum, el dignotione. cortnn, tuin cttra, el crrore. 



See Naudeus Judicium de Cardano; Haller's Bi- 

 bliotk. Med. Praclic. fyc. ; Eloy's Diet. Hi&torique ; 

 Tessier Elages des Hommes Savans, p. 97 ; Bayle's 

 Diet. ; Montucla's Hist. Mathemat. vol. i. p. 591 ; 

 Hutton Mathemat. Did. ALGEBRA, p. 68. (o) 



CARDIFF, or CAERIJYFF, the county town of 

 Glamorganshire, in South Wales, was first built in- 

 1080. It derives its name from the river Taff, which 

 runs along the west side of it, having a bridge of 

 five arches, and falls into the Severn about three 

 miles below the town. It is pleasantly situated on a 

 fertile flat. Its streets are spacious, and its houses 

 well constructed. It consists of two parishes, St 

 Mary's and St John's. There is, however, only one 

 church for both ; St Jehn's church having been, 

 with many other edifices, destroyed by inunda- 

 tions of the river in 1607. The high tower of St 

 Mary's church, which was erected in the reign of 

 Edward III. is of light appearance and elegant work- 

 manship, having open corners and lantern pinnacles. 

 There were anciently four religious houses in Car- 

 diff : a Benedictine priory, and black, grey, and 

 white friars. There is nothing left of all these ex- 

 cept a few remains of the whitefriars, and the ruins 

 of the blackfriars, which now afford shelter to some 

 poor fishermen. Formerly the town was encompass- 

 ed with walls, which were flanked with watch-towers 

 1280 paces in circumference, and had gates at the 

 four cardinal points. Of these some traces are still 

 visible. The castle, which is the chief object of 

 attention to a traveller, was built in 1090, by the 

 conqueror Fitzhamon, a Norman, after he had taken 

 possession of the country of Morgannoc ; and is re- 

 markable in history, principally as having been the 

 scene of the long imprisonment, cruel treatment, and 

 death of Robert, Duke of Normandy, brother to 

 Henry I., and as having sustained a siege by the par- 

 liamentary forces, who took it from the Welsh loyal- 

 ists in 164-5. It stands on the north side of the town 

 wall ; is a large stately edifice ; was originally o 



VOL. V. PART IK 



Mathematical Dictionary, art. ALGEBRA, p. 68. 



