bid 
HE® 
hymn to Re John the Baptift, « Ut queant laxis ainnre 
ris, &c.” Utre mi fa fol la, and being applied to each of 
thefe ay was to give articulation to founds in fing- 
ing, and affift the fudent in hitting diftance 
And it is from the mixture of thefe eeactetes that the 
mutations in folmifation arife. See Murarioy, SoLMIsA- 
N, an 
Mexacnorp, Major, or Hexachordon major, is the 
major, greater, or fharp fixth, ik eral whofe ratio is ; = 
4512+ 9f + 39m. See Major Sixt. 
Hexacnorp, Major, of. Galileo, is an interval whofe ra- 
tio is 35 = 4622 + AES sf ae m, and is the comma.redun- 
dant major Stxru, which 
Hexacnorp, Minor, or Hexathordon minor, is the 
minor, lefler, or flat fixth, whofe ratio is} = gis +38f 
+ inor SixTu. ~ 
Siiggaes fe ie of Galileo, is an interval whofe ra- 
tio is 32: = 426 8 f+ 37m, which is the comma-re- 
dundant minor are which fee 
FFERACHORD, MEE of Didy rmus, is an interval whofe 
ratio is 13,1, = 40 + 3 ae m, Which is the comma-de- 
Jicient minor SIxtH, Ga ves art 
HEXACONTALITHUS, in Natural Hiflory, om e 
name Le a ftone defcribed by Pliny, and other of the a 
ters, as being very {mall, yet fhewing an almoft in- 
ioe pies of colours, It feems only, another name for. 
the , 
opal. 
DI CA, in Botany, is derived from Ladinasy relat- 
HEXA 
i - the number fixes: beca ule this plant has fix cells in each 
urel 
ts feed-veffels.— ochinch, v. 2. 562.—Clafs 
a ee er, Monacia Pentandria. Nat. Ord. Euphorbia, 
Juff. ? 
Gen. Ch. _ Cal. Perianth of five, abtale; fhort, 
agen 
fpreading leaves. Cor. Petals five, ovate, concave, 
ing. Stam. een five, thorter than the ae 
1ers ovate, tw ered. . 
ss emale, an. of es, obtufe, very fhort, sae 
Cor. none. Pijft. Germen fuperior, roundifh ; 
ftigmas ng together. Per. Capful 
globofe, having fix valves and fix pe Sa folitary, a Sn 
aes ya, Hea 
ff. Ch. hte Calyx five-cleft. 
Female, Calyx of fix leaves. Corolla non 
Capfule of fix cell, fin ws ge feed ed. 
e* Si = fix. 
gence to us but by Loureiro’s Sckesigiion given above. 
We prefume there is not much doubt refpeéting its being of 
the natural order we have fuggelted. 
HEXAEDRON, or HexaHeprRoN, formed of ik, fia 
+ and yey feat, i in Geometry, one wales t ve regular bodies 
ly called a 
ube. See Cun 
Se ss able ol ina fobtriglei 
ratio ee ores diameter of the circumfcribed: 
~ 2 
fphere 
ote ire ich it is infcribed, as one to the v3: 
and, O it. 
In gene A, B, C denote refpeGtively the linear fide, 
abe fice sat the folidity of a —o r cube, and r 
a < 
_ the reafon of the rule, 
; ~ rt tn eels ee, 
of the hexaedron is to shedeeces’ = the ae 
- SEs 22 
the radius of the inferfbed {phere, and-R. the radius of t 
circumfcribed one : we fhall have the follo owing — ten Shae 
tions, exprefling the relations of the one one to the other . 
bo Ales eRe ERG 
B= 247 =3.R? 2 
bbe 
iva 
ere edt. eae 
See MGM et 
* 
Zs 
4. Ce tr’ = 5 Ri V3 =* AS = 4B Vig oe 4 
4. Ror yer A V3 =1/3B =2/3 x VG 
5. r=iRyi=gAa =37i8 = 39" | 
HEXAGON, formed of i, fix, and youa, “angle, a 
figure of fix fides and as many angles. 
If thefe fides and angles be equal, it is called a regular 
hexagon. The angles “of a hexagon are each equal to 120 
degrees ; ; and the fide of a hexagon i is ee ual to the radius of 
a circle circumfcribed about the fam 
Hence, a regular hexagon is inferibed % ina circle, by ‘fet- 
ting the radius off fix times upon the periphery. 
To defcribe a hexagon on agivenline AB ( Plate VIII. 
Geometry, fig. 97.) draw an equilateral triangle A BC 
vertex C will be the centre of a circle, which will circum. 
{cribe the hexagon required. - See Poxiy 
- If the fide of a Sere be denoted by Sy its area will 
be = 2.5980762 s*? = 35° x tang. 60° Ze af. For 
N. 
fee Potycon. 
_N.B. The reader is here apprifed of an error that occurs 
under the article Doprcacon, and defired to transfer the 
geometrical’ demonftration that is introduced under that — 
term to Drcacon, fo which it belon 
Hexacon, in Forti ification, is a foctrals of fix beilkina, se 
. HEXAGYNIA, in Botany, is derived from i, Six, and 
= a oF ee bane the name of ee orders in the principal: _ 
e the Linngzan fyftem a pte 
ch flower, or where the i ftyles 
feyl me 
ae 
is referred to this order by Schrobery and the latter oe 
the clafs Polyandria, we mect with an ele-. 
gant aquatic, gee or ee Soldier, inc’ fu Jed tr ye 
: ia, anew genus of patel $i- 3 
of the Linnzan oo . Ri 
Flowering Ri 
HEXAHEDROSTYLA, in Natural Hiftory, thena) 
of eet aa 
The word is Seed of the Greek ik, Sfx, Seay fide, iat 
TVA, a ark 1 
The bodies of this Set are {pars of ; 
adhering to fome folid at the bafe, and terminated at _ 
the point by a pyram te pyram: mid and column are both 
x or seater Sack of fix fides. 
Of this genus there are three known fj 1. A flender’ 
Lygoeg and clear a 
4 columnar form, 
p- 218. 
HEXAMERON, or Hac dcenon a 
divers writings, both of ancient and m 
taining commentaries, or difco 
