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# Title: Lexicon Technicum: Or, An Universal English Dictionary Of Arts And Sciences (shelfmarks Leibn. Marg. 71; ZEN Leibn. Marg. 71)
# Folio - , page id 806933011:0472
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ding chesquare de ille re ete
diate Part a e, voset da
sum will be oil e a i seate et at 
Line.
Kiphe Line De added 1o it, the Rectansle 0
Product oF thie ivhole augmented Line mutei
plied by the lail aluces togerher wich lc
Square ot rhe halt Line, 15 equat 10 C Oguat
ot che hatt Line, and laet added, as one L me.
18. 3
Pectne Mee De La, and che Pare addede.
then che wohole Wvis be 2 a Fe; Wotich mulci
plicd by e, produces 2 a e ec, and the Square
OE halt che Line a a beine aaded co it, ic wil
be2 ac  ecga, which is equal r0 che Square
OE a e, bY Prop. 4.
J. IE a Ouanties or Line be divided aty ho
ineo to ParES, the Square oF the Whole added
FOFhe Square OF One OF the ParES, Mall BC equa
2o urro Rectansles concained under che wvhiole
Cine and chac Parr, added ro che Square ot rhe
ortiex Parr.
Square, oF ihe votiore, a OL He setset FasL C
matces aa 2 a c 1 2 ec. Then if the wrhole
aJe be mulciplied tvice by c, ic will produce
e 2ee; and it to chis be added chesquar
ot che ocher Pare a a, the Sum will be
C 2 Ce, equal tothe former.
8. IF a Line cut any hon into tvo ParrS, thc
Ouadruple Rectanole under the whole Line anc
ore oE the Parrs, added ro the Square of che
ocher Parr, is equal ro che square ot che whole
and chc octer Parc added 10 u, as il ic vere bi
onc Line.
Tet che Wnole Line De a J-e, then Four rim
that mulciplied bY e (or the Ouadruple Rectan-
Dle under That and e) will be + ac  4 eCs L
erhich addins che Square  ee aet falt a a
Ot EHC Oguares OL LHC HaI LUIC, andi OE che
ThC lesset a B: The Sum ot the Squdres oF che
Unequat, Paris Wrill be2 an p2 l b aerbict is
double co che Square ol haltiche Line addedre
che Square oE the Ditterencoloe P
10. C a l ine be bissected, andtnen anone
Line added 1o ic; the Square oF tho trholeren
crealed Line, rosecher wich che. Square osiche
Parr added, is double the, Sum of thé Dquare
ot chehale Line, and ot chehan Lualta L det
added, raken 25 one Line.
Let che vohole Line BC 2 a, and che Paroiad.
ded e; then che Wrhole encrealed Line willbe
e a  e; and chehale Line and Part added Wil
bca 16. The Sum ofathe Squares ot2 ac
and OF, c, I5 4 a a  4 ~ e  2 ee; levtich is plain-
ly double 20 a an and, a  12 alc-)ce 0 ad ded
cogether, 0.
t
LINB, in Forrificarion, is thar whichlisIdrawn
trom one Poinero anorher, in delineatins a Planc
upon Paper. Bur, in the Field it is somerimes
catren for a Direh Bordered rich ius ParaDet
and fomerimes For a Romot Gabions, or Sacks
Ot Fauh, exrended in lensch on the Cround) 120
serre 25 2 Shelrer againstahe FinemiesuFire
Thuscher Car, When cho Trenches evere carried
on Wichin 30 Paces oF the Glacis, ve drenato
Lines, onc on the Righr Fand, the orhetion che
Lett, for a Place OF AIIS. ei
conora BIC
TINF Capiral, is thac Which is drawn from
Mho Ansle os the 60r5C 10 che Ansle os the Ba-
stion.
FIE Cogritet, is chacrotich isadramn Trom
the Ansle os the Contre cothatof the Bastion 
TINK os Desence, is tharwwhich represents the
Course es the Bullet ot ans lort ol Fire arins
more especiallr oF a Musquer Ball, accordinsrc
the Sicuarion which ic oushero have 10 dotend
theFace ot the Baction.
LINF of Desenco Fix duornFichaneh iouCMaE
wrhich is dravn trom (cheAnole ofthesurcain
tothe stant d Ansle oF. che oppolice Bastionste
verrheless, richout couchins iho Face ofthe Ba
stion. This must nerer excced 800FCet Wutrieh
cher reckon the Distance aiMusquer Ball Wwill do
executiOn.
LINF OF Desence Rezant, is thac wutuch beine
drann from a certain Poine ofrirs Curtait, a-
serh che Face ot che oppolice Bastionqoehisois
Called alsothe Line of Desence Stringentor Ftant-
ins.
LINE S appronch or oE. Motactem sienitieoriche
Work Wrhich che Bchegers carrr on aindet Cd
vert, 10 sain sche, Monc, andche Body obixhe
Place.
LILF of Circumvallation, 15 a L ine Ot Fronch
cur by ches Besiesers, Wvirtiin Cannon MODOD che
Place trhich rangech round cheI LalI asC
eures iis Ouarrers agamthe Kce n
109cd.
C
LINE os Contravallation, is a Dirchsborder d
rich a Parapes, wrhich serresro coredheBe-
sieoers exprse side ot cheblace, and 16 Hop une
Sallies othe Carrison.ainomoor bas suoiro
CTNES mithin sides ares the Moaes coate ule
Lexche lesser unequal Part bC e, Then che Grear
ex unequat Part WviII DC 2 a es whict mulci
plied by e, Produces 2ae ec: Fo wtich ad
6. IF a Tine be Bissected, and chen anocte
Cet à be one Pare, quid e che ortier. The
the Sum Wist De a a.  4 ac l 4 c e.
And I sou lquare a 2c, Which expresse
hè wrhole Cue, uithe added ro i, Thc Product
Wbill be che lormer Sum oF a a-  + a C-  4 C c.
9. L2 Tine be bissected, and also cur into
ENVO OtHCL Unequal ParES, the Sum oF the Squares
OF Ehe unequat Lales WA be double FO the Su
Disserence betureen che ruo unegual ParIS.
1153. A BF
ots seste eobet ssor
Jeonan Eid S.o. )
Tec the vohole Line De 2a; and chie Disse.
rence betreen he equal and unequat ParIs.
ien are sente n    te dlaust iate ) ale tiete, re hitale etielit o
TPES mithout sa arenthe Moacolordillo
Place, teprevent cheliko Sallics. 13 erts oroc
IE