BOD 
their sides, angles, and planes similar - and 
equal : they are denominated the 
Tetraedron 
Hexaedron 
or cube 
Octaedron 
Dodecaedron 
Icosaedron 
1 , ►» f 4 equilateral triangles 
! "S 
6 squares 
'£ 
1 8 triangles 
£ 
1 12 pentagons 
o 
J « 
(20 triangles. 
In the Plate Miscel. II. fig. 1 to 5, we have 
given the figures of each, which, if drawn 
on pasteboard, and cut out by the bounding 
lines, and then the other lines being half cut 
through, the parts may be turned up and 
fastened together by strong paste, so as to 
form the respective body marked with the 
corresponding number. Fig. 1 is the te- 
atraedon : fig. 2 the hexaedron : fig. 3 the 
octaedron : fig. 4 the dodecaedron, and 
fig. 5 the icosaedron. 
To find the superficies or solidity of the regu- 
lar bodies. 
1. Multiply the proper tabular area 
(taken from the following table) by the 
square of the linear edge of the solid, for 
the superficies. 
2. Multiply the tabular solidity by the 
cube of the linear edge, for the solid con- 
tent. 
Table of the surfaces and solidities of the 
five regular bodies, the linear edge be- 
ing 1. 
No. of Faces 
Names 
Surfaces 
Solidities 
4 
Tetraedron 
1.73205 
0.11785 
6 
Hexaedron 
6.00000 
1.00000 
8 
Octaedron 
3.46410 
0.47140 
12 
Dodecaedron 
20.64573 
7.66312 
20 
Icosaedron 
8.66025 
2.18169 
Bodies, descent of. Heavy bodies, in an 
unresisting medium, fall with an uniformly 
accelerated motion ; whence the spaces de- 
scended are in the duplicate ratio of the 
times and velocity, and increase according 
to the uneven numbers 1,3, 5, &e. The 
times and velocities are in a subduplicate 
ratio of the spaces. The velocity of de- 
scending bodies is, in proportion to the 
times from the beginning of their fall ; and 
the spaces described by a falling body are, 
as the squares of the times from the begin- 
ning of their fall. Sea Mechanics. 
Body, in law. A man is said to be bound 
or held in body and goods ; that is, he is 
BOE 
liable to remain in prison, in default of pay- 
ment. 
In France, all restraints of the body for 
civil debts are null after four months, unless 
the sum exceeds two hundred livres. 
A woman, though in other respects she 
cannot engage her person but to her hus- 
band, may be taken by the body, when she 
carries on a separate trade. 
Body, among painters; as, to bear a 
body ; a term signifying that the colours 
are of such a nature, as to be capable of be- 
ing ground so fine, and mixing with the oil 
so entirely, as to seem only a very thick oil 
of the same colour. 
But such colours as are said not to bear a 
body, will readily part with the oil when 
laid on the work ; so that when the colour 
shall be laid on a piece of work, there will 
be a separation ; the colour in some parts, 
and the oil in others, except they are tem- 
pered extraordinarily thick. 
BOEBERA, in botany, a genus of the 
Syngenesia Superflua class and order. Re- 
ceptacle naked ; down simple; calyx dou- 
ble, the outer many-leaved, inner eight- 
leaved. One species, found in Carolina and 
Mexico. 
BOEHMERIA, in botany ; so called in 
honour of George Rudolph Boehmer; a ge- 
nus of the Monoecia Tetrandria class and 
order. Natural order of Scabridae. Urti- 
cae, Jussieu. Essential character ; male, ca- 
lyx four-parted; corolla none; female, ca- 
lyx none, but crowded scales between 
each ; germ obovate ; style single ; seed 
single, compressed. There are five species ; 
of which B. caudata, is a shrub growing to 
the height of ten or twelve feet ; the leaves 
are very broad. It is frequent in the 
cooler mountains of Liguanea, in Jamaica : 
B. literalis is a native of Hispaniola : B. cy- 
lindrica, is an annual plant, with a lucid 
herbaceous stalk, dividing into several 
branches; the leaves have three longitudi- 
nal veins, and are placed on pretty long 
foot-stalks ; flowers in single catkins, which 
are not divided. Native of North America 
and Jamaica. 
BOERHAVIA, in botany ; so called in 
honour of the famous Boerhaave ; a genus 
of the Monandria Monogynia class and or- 
der. Natural order of Agregatte : Nycta- 
genes, Jussieu. Essential character; calyx 
none ; corolla one-petalled, bell-shaped, 
plaited ; seed one, naked, inferior. There are 
seven species ; of these B. erecta ; upright 
fiag-weed ; has a stem two feet high ; at 
each joint a pair of ovate-pointed leaves, 
O o 2 
<r 
