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# Title: Lexicon Technicum: Or, An Universal English Dictionary Of Arts And Sciences (shelfmarks Leibn. Marg. 71; ZEN Leibn. Marg. 71)
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Layine a Mortar 10 paso. in oicat i
strike any Object above or belon the FIo-
rizon. By F. HaleY.
Ic Was Fortrerty ehie Opinion oF cHOLe CONCeEE
ned in AerilleEY, That chere Was a certain, RC
quisite ot Porder For each Cun; and in MOr
cars, wrtiere the Distance was eo be raried, i
must be doncbr sirins a greater or lesser Elera-
cion co elie Peice. Buc non our larer Eixperience
has taugheus; thatthe same thins may De miore
certainly and readily perfortred by increasine
and diministine che Ouantier of Poirder, Whe
ther segard be had ro che Pxecurion ro be done.
Or tothe Charse oF doins ic. For When Bombs
are di chars ed wich great Elerations OF the MIOT.
Fax, cher Fall 100 perpendicular, and bury chem
Pelres t00 de ex in the Cround, 1o do all chat da
maec cher mipte, il cher came more Oblique
and broke upon or near the Surtace of the Farih.
evtich is a ching acknowledeed by the Beheget
in all Fotns, who unpare their Strcets c0 les
che Bonibs buey chemlelres, and chereby Niste
he Force oF cheir Splincers.
A Sccond Convenience is, Fhar ac the ex.
eream Flerarion, the Cunner is not obliged to
be (0 Curious in the Direction ot his Peice, bu
it will sussice to be within a DeBrCC OF ENO O)
the Truch; Whereas in the orter Method o
Slioorins le oughe ro be verr curious.
Buc a Third, and no less considerable Ad.
vantase is, in che lavins oF che Kinss Poder
autich in (o ereat, and so numerous Discharges
as We have larely seen, must necds 2IOUNL 10
considerable Valuc.
And Tor Sea Mortars, il is scarce practicable
ochermise ro use chem, where che Agiration ol
the sea continually changes the Direction ot th
Mortar, and vould render the Shot verr uncer
tain, vere it noc chat cher are placed abouc 4
Deorees oF Eleration, where several Degrees a
bore or under, makie very licle disserence in che
ERect.
In Numb. 179. ot chese transactions, F Consi
dered and demonstrated all che Proposirions rela
rins co che Mocion ot che Projectiles, and sare.
Solucion co chis Problem, viz. Fo hit an Objec
above or belor the FTorizont al Line, with the rrea
test Certainty and least Force, 25 may bc scen in
chat Transaction, P. 16, 57. Thac is, Thac ehic
Horizontat Distance of the Object beine pur
Charse requisice ro Mrike the Object wich the
srearest Advantasc, vas chac wrhich wirt ar
Flerarion et 4) Dgiccs, o, Cast ee so
 che toctu  ee a 
bb- BB B. Wiene bsect Was aboe
43 Degreco   slecent ace at
Sum ot the LIrpochenulal Diltance ot the b.
Fleiphe chereot abore che Cun; and in che o.
cher cale, Wvhen che Obicet is below che Flori
Zon, che Ditterence oE che Came, per 47. 1
Fuclid.
And Pihen Bewed hon 20 lind che Eleration
prover Forche Cun so charged, viz. AstheH0.
rizoncal Distance of che Object, ro che Sum oy
Ditterence oF che Hyporhenulal Distance, anc
Perpendicular Hciphe :: 50 Radius torhe Pan-
sent oF che Eleration Couehe. Bur L WaS nOT ad
charrime avare thacthe atorelaid Flerarion did
Constantly bilect che Angle berween che Perpen-
dicular and che Objeet; asis demonstrared trom
the Difference and sum of che langene and se
cane oF any Arcti, beins alvars cqual ro che
Tansent and Cotangene ot the hale Compli
mene chereot ro a Ouadrant.
Hlavins discorered chis, L chinke norhines cam
De more compendious, or bids fairer ro compleat
the AE eF Cunnery, iE beins as eatie t0 Shoor
rich a Morrar ar any Obicct on Demand, a5
it ic vere on che Leret: Neicher is chere need
ot any Compurarion, buc orly simply lazins
cheCun ro pals, in che middle Line betreen
che Lenich and che Object, and siving ic its due
Charse. Nor isthere anr grearneed of Instru-
mens Cor this purpose: For il che Muxule oF che
Mortar beturnedrrulr Square ro theBore oFthe
Peice, 25 ic ulnally is, or ouxhe r0 be, a piece
oF L OOkins- Sla(s Plare applicd parallel ro che
Muzzle, will by its Refection sire the true Po-
sition OF che Peice; the Bombardeer having no
more ro do, bur ro look perpendicularir donnon
che Lookins-sla(s, alonest a (mail Thread wicte
a Plumet, and ro raise or deprels che Lleration
ot che Peice, till che Object appear reffected on
che Pame Point oF the Speculum, on which che
Plummer Falls; For che Angle ot Incidence and
Reflection beins equal, in this cale a Line at
Righe Angles, to the Speculum, a5 is the Aris
oF the Chase of the Peice, will bisect che Angle
betwcen che Perpendicular and che Object, ac
cordins as our Propolition requires. Eo thar it
onty remains by sood and ratid FXpCrimeNES 1O
be aNured oF the Force oF Cun-ponrder. HOw
to mate and conserre ic equal, and eo Know che
effect thereot in cach Peice; chat is, how tat
differins Charges will cast the lame Shoc our et
ic; wtrich may most convenientr be engraven
On the outside chereot, as a Randing Directior
to all Crumners, who lhall trom thence tormara
hare occation to ule rhat Peice: And eere this
Macter vell ascerrained, ic mighe be worch ene
Wvhile co make all Mortars of che like Diamerer.
as near 25 may be alitre in lenorh oE Chale
Neiehe, Chamiber, and all orher Circumitan
CCS.
inclined llanc 15, Wwhen the AxIs ot che leice
ren Objeet wich ans torce sreacer chan whaetut
eet trom che cum and che Perpendicular sices c0 rench ie victi ehe alorelaid Widale tile
iocior
et 2 se in tbe Ar.
Proposition os Cener
of Cumnerr, semine the Rule
This Discorerr rhaE the VEmOR RansC On AM
makes equal Angles ith che l’erpendicular AIIC
the Object, compared wich wtrat Lhare demon-
Atrated otthe Pame Problem in the atoresaid DTum-
ber 279, does lead ro and discover rwo very tea
de Theorems; the one ro sind the grearest Hori-
Zoncal Ranse at 45 Degrees Eleration, by any
Shror made uxon any inclined Plain, Wvich an)
Flerarion oF The Peice Wharsoerer: And che o.
b, and the Lerpendicular Hleighe = B, ElC
Thetorizon,   Wese Be  eite Cats
must be lesser, (0 25 r0 reach on che FTorizon, ac
eles coina ihe lleracions piopei io leriue a 51
Vbb - hB= B; chacis, in che one cale, the