and 

 and 

 i?., 



21. 6tf- an eigluh. 

 I J. Si/, a twelfth. 

 IS. 4//. a fifteenth. 

 IS. ^rt. 3. fixteenth. 

 lod. a twenty-fourth. 

 ^d. a forty-eighth. 



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■and the quotient is 30; then 30 divided by 2 gives the 

 .quotient ij ; and ij divided by 3 givts 5, and 5 divided 

 by 5 gives 1 ; and therefore, all the prime divilbrs or ali- 

 quot parts arc 1, 2, 2, r. S- 1''>'-'" t'"-' conipounJ onesob 

 taincd by multiplying every two, arc 2, 4, 6, 10, 15 ; ""' 

 by militiplying cveiy three, 6, 10, 12, J 5, 20, 30; 

 «U the aliquot parts of 60 arc 1, 2, 3, 4, 5, C\ »o, 

 15, 20, 3D. 



The aliquot parts of 20s. arc, 

 ics. hulf of 20s. 



jj. a AiUith. 



4j. a fifth. 



,2s. a tenth. 



If. a twentieth. 



6/. id. a third. 



y. 41/. a fixth. 

 To multiply by ti\c help of aliquot parts, fee Multi- 



rl-ICATION. 



We mutl not confoinid an aliquot part with that of a 

 commeiij'uralle ; for ever)- aliquot part is a commerifuralle, but 

 -not -cice vdj'a. Thus four is commenfurahk with fix, but is 

 not an aliquot part of it. Phil. Tianf. N° 41. 



ALIS^I, in AncUnl Geot^raphy, a name given by Jo- 

 fephus to the inhabitants of F.olis. 



ALISANDERS, in Boiiniy. See Smyrnium. 



ALISANUS. See Ruexia. 



ALISARNA, or IIalisarnA, in ^indent Geography, a 

 city of the Troas, in Afia Minor. 



ALISCA, a town of Lower Pannonia. In the Notitia 

 Imp. it is called Jlefca, and placed in Valeria, near the 

 X)anube. 



ALISDACA, a town of Media, according to Ptolemy. 



ALISE, or Ai.KsiA Ste. Reine, in Geography, a town 

 pf France, in the department of the Cote d'Or, eight miles 

 north-eaft of Semur-en-Auxois. This town was the ancient 

 Alesia. The celebrity of this place in the time of the 

 Romans is difcernible in the veftiges of the Roman ways, 

 which lead to and from it. After the fall of the Weftern 

 empire, Ahfe was tlie chief place of an extended country, 

 called Pagus-AleJier.Jis or Alficnfis, whence was fonned the 

 Fr. Aulfo'is and Auxo'is. The ravages of the Normans oc- 

 cafioned the removal of the relics of Ste. Reine, the mar- 

 tyrefs, to Flavigni in the year 864. After the ancient Alife 

 was ruined, the name continued to be appropriated to fome 

 dwellings that remained on the declivity of the adjoining 

 mountain. The fite of the ancient city is now cultivated 

 ground ; " Nunc feges ubi Troja fuit." The commerce 

 of this place confilled of chaplets, (hrines, flowers, &c. 

 for the accommodation of the pilgrims, who reforted hither 

 from all parts of France, to celebrate the feall of Ste. 

 Reine, which was kept twice a year. The fountain of 

 Ste. Reine is a refervoir of clear and frefli water, about 

 two feet fquare ; and its water was formerly held in high 

 eftimation. But the place has long fince loft its reputa- 

 tion. 



ALISINCUM, Anizi, a town of Gaul, belonging to 

 the Edui, between Anguilodunum to the eaft, and Decetia 

 to the fouth-weil. 



ALISIO, in Geography, a town of Corfica, in thediftrift 

 pf Capo Corfo. 



ALISIUM, a town of Elis, fituate on a high mountain, 

 between Elis and Olympia ; the Alefoti of Steph. Byz. It 

 had a river of the fame name, according to Strabo. 



Alisium or Alesius, a mountain of Arcadia, fepara- 

 $'ng it from the Argolide. 



A-LISMA, from aXv(rfi.y., anxiety, or rather from aX,-, 

 iibc /ea, IVater Plantain, in Botany, a genus of the 



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hexandr'ux polygyn'u! clafs and order, of the natural order of 

 tripitalo'ulca' -M-iAjund oi jn^KM: its charadters are, that the 

 per'umlhium is three-leaved, leaflets ovate, concave and per- 

 manent ; the corolla three-petalled, petals roundidi, large, 

 flat and very fpreading ; the jiam'ina have a\yl-(liapeil fila- 

 ments, fliorter than the corolla, anthers roundiflt ; the pijl'il- 

 liim has gemis more than five, llyles fimplc, ftigmas obtufe, 

 the capfules of the pcr'icarphim are compreffed, (many and 

 aggregate. Smith,) and \\\e feeds folitary and fmall. 



There are nine fpecies, wa. i. A./>/(7h/^-9, great orbroal 

 water plantain, or greater thrumwort, with leaves ovate, 

 acute, capfules obtufely triangular. This fpecies is eafily 

 known by its fmooth entire leaves on very long petioles ; and 

 by its puiplifli flowers growing in a kind of umbel, at the 

 end of a long fcape. The flowers are fully expanded about 

 four in the afternoon. It grows in watery placi-s, on the 

 banks of pools, lakes and rivers, is perennial, and flowers in • 

 July. This plant poffefles the poifonous quality of the ra- 

 mincuh, to which order it is naturally allied. Dr. Smith 

 mentions two varieties, in-x.. A. lanceolata of Withering, 

 or narrow water plantain, and pLintago aquatica hptoinacro- 

 phylhs of DiU. in Ray Synop., or greater water plantain. 

 2. A. pavum, damafonium flavum of Miller, with leaves 

 ovate, acute, peduncles umbellate, capfules globofe. This 

 grows in Jamaica, Barbadoes, and feveial other places in the 

 warm parts of America, in fl:agnant waters and fwampy 

 places ; but being of no great beauty, and not eafily pre- 

 ferved in England, it is not worth cultivating. 3. A. da- 

 mafomum, damafonium A. of Miller, ftar-headed water plan- 

 tain, with leaves cordate-oblong, flowers fix-pointallcd, cap- 

 fules awl-fliaped, the flowers are white ; fl.yles fix, and cap- 

 fules fix, divaricated, with a ftellated appearance, of a hard 

 texture, and fo clofcly united at the bafe, as to appear hke a 

 fingle fruit. Stokes. This is a native of France, Siberia and 

 England ; is found, more rarely than the former, in ditches 

 and ilagnant waters, about London in feveral places, on 

 Houndow Heath, Winkfield plain, near Windfor, &c. ; is 

 perennial, and flowers in June and July. 4. A. cordifolium, 

 with leaves heart-fliaped, obtufe, flowers twelve-llamcned, 

 capfules hook-pointed. This fpecies connetls the genus 

 ahfma with that of fagittaria ; and is found in North and 

 South America. 5. A. nalans, creeping or floating water 

 plantain, with leaves ovate or eUiptic, obtufe, peduncles lo- 

 litary, and capfules ftriated. The leaves which fwim on the 

 furface are ovate, and thofe under water linear. It is found in 

 ditches, in France,Sweden, Germany, and Siberia : in the lakes 

 of Bala and Lanberris,inNorth Wales; is perennial, and flower* 

 in July and Augufl. 6. A. ramincidoidcs, Imall water plan- 

 tain, with leaves linear-lanceolate, capfulej pentagonous, in- 

 curved, globofe-aggregate. The corolla is bluilh-white, and 

 opens about noon. It is a native of Sweden, Holland, 

 France, Germany, Italy, and England, in marflies and 

 mours; is perennial, and flowers in Auguft. 7. A.Jultiilalum, 

 with leaves awl-fliapcd ; a Virginian plant, the dwarfyrt^;V/<j 

 of Clayton, with a very tender white corolla, and fubulate 

 leaves, y. A. parnnffifoliuw, with leaves hcart-fliaped, acute, 

 petioles jointed ; a native of Italy, in the marflies under the 

 Apennines. 9. A. rcpens, with ftems creeping, leaves lan- 

 ceolate, petioied, acute, a native of Spain, on the fandy 

 banks of the river Manzanares ; flowering in Augult ; and 

 feeming to be the fame, though much fmaller, with the 

 alifma, which Abbe Poiret found on the Northern coaft 

 of Africa, defcribedby Lamarck. Willdcnow adds a loth 

 fpecies, A. fagittifolia, with leaves fagittated, and capfule 

 obovate, obtufe ; found in Guinea. Martyn. Miller. Smith's 

 Flor. Brit. vol. i. p. 400. 

 - Alisma. See Arnica, Primula and Senecio. 



<5 ALISO, 



