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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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TROCHLEA, a term in AnacomY, the same (Line, o chich the Limits of che. Made is caken,
Wvirh Bathmis.
TROCELEA, is also one of the Mechanick
Povers, and is whar we usially call che Pulley.
TROCFTLLARIS, is che upper or greater ob
ligue Mlusele OEthe Lye. Sec Obliguus Superior.
TROCTIOID, che lame wich Ercloid; wrhich a, b c, c, beins suppoled Poinrs obserred, che
sec
TROCTTOLTCKS, is by Lome rakten For thac cionalro the rimes ot cach Observariou, betore or
parr ot ihe Mechanicks, Wvhich Mems che Proper- (afrer che Fropical Moment in Cancer.
ties oF all circular MorionS.
TROMA, is a Wound trom an external Cause.
TROMBOSIS, is a Lremblins, Or a Deprava
tion oE che voluntary Morion ol ihe MembeTS.
Dlanchard.
TROPES, are when ords are changed trom
cheir proper Significarion, and appliedco other chinss
than wrhac cher naturally MCan.
TROPICAL Tear. Sec Tear
TRODE, in Archirecture, iS an OrnamenE
Which reprelenes che Prunke ot a Trec charged or
encompassed all round abour wich arms ox Mili
tary Wcapons, boch Offensive aud Desensive.
TROPICRS, are Circles suppoled to be dramn
Parallel corhe Lquinoctial ac 23 de8. 301 distance
Trom ic, one ror ards che Norct, called che Propick
of Cancer; and the ocher romards che Soutt, calla
che Propick of Capricorn because cher lic under these
SignS.
MP. TTalley, in Philos. Frans. N 215, bY chree
sublequent Obserrarions made neax the Propick,
ac proxer incerrals oF Time, hens a Method tO
sind chic Momene oF the Suns Ingrels inro the TrO-
pical Sions, capable oF all che Fixactnels the most
Accurate can desire; and rhat ithout any Confr
derarion oF the Parallax oF the Sun, OF the ReFra-
ctions ofthe Air, ot che prearest Obliquier of che
Ecliprick, or Laticude of che Place, premilins che
Solloin s Lemmata, viz.
P. Thar che moriori oF the Sun in che Fcliprick
about chetime of che Fropicks, is lonearty equable
thac che difference from Lqualier is noc sentible, trom
Are Days betore che Tropicks, ro sire Days atrer;
and che difference arisins trom the licle Inequalies
thac chere is, never amounes ro abore = oF a linglc
Second in che Declination, and this by reason ot
the nearnels of the Aposaon oF che Sun tothe Tro
pick os Cancer.
2. That FOr sive Peorees Besore and alter che
Tropicks, the disserences whereby the Sun Falls
Morr OF the Propicks, are as the versed Sines oF
chesunsdistance in Longitude tromthe Tropicks
erhich versed Sines in Arches under sire Degrees
are berond theurmost nicetr ot Senle, asthe Squares
o chole Arches. Erom chesermo Collons,
3. THaE FOT AVC CayS Betore and aTTeF THC FFO.
vicks, the Declination of the Sun Falls Morr oF the
urmost Fropical Declination, by Spaces which are
in duplicare Proportion, Ox a5 the Squares oF the
Times by wohich che Sun is wanrins ot, or past che
Moment ol che Tropick.
Hence is erident, chat if che Madows oF che
Sun, cicher in the Meridian, Or any ocher Arimuct,
be caretully obserred aboue che rime of the TrO-
This beins premised, the erue rime oPthe Fropiek
by chrec Obserrations, is tound trom ehiis Ceome.
crical Problem.
Favine chrec Points in a Parabola A, B, C, or A, F, C.
siven, rocether mith the Direction of the Axis, Y0
fnd ile distance os those Pointsfrom che Axis.
OE chis chere are tuo Cases; the one when che
time oF che second Obserration B is precilelr in the
Middle rime becreen A and C: In This cale, put
tins  For che whole rime becween A and C, then
A c che Interral of the remorest Obserrarion A
trom che Tropick, is sound by che Collovins Ana
109Y.
2 ac = b c: 2 ac = = bc: : = + (OP AF): AC
the time OFthe remorest ObserratiOn A FrOm thC
Tropick.
Bur the other Case, when che midale Obserra-
tion is not exactlr in theMiddle berwmeen che Oiher
tvo rimes, a5 ac P, is Comething more operole, and
che whole Time From A eo C beins puF == +, and
From A 1O F = 5, cc = c, and b c = b, the
Theorem will stanc chus =LC = b55
Time (ougHE.
21C-265
= A C, thC
F0 Wustrate ehis Mechod oF Calcularion, he
sires chetro follovins Examples.
Anno 1500, Bernard WValther, in the Month ol
Zune, ac Nuremberz, obserred che Chord oF che
distance ot the Sun trom che Zenith, by a larse
Parallactiek Instrument ot Pcolemy, 25 Lo1loWs.
2. 454677
8. 44975
Tune 3 9. 44934 F and 7une 7 12. 44883
16. 44930
l16. 4499
In boch twhich cases, the midelle Time is exactiy
pick, the Spaces whereby che Tropical Made falls in che midale berreen the Exrreams, and chere-
MOrE OF, OE excecds thole ac other rimes, arc al- Fore in the Former thrce, a c = 533: b c = 17
vars proporrionable to the Squares of thie Inter. and t, the Pime berween beins Ta DaYS; bY. chc
vals oF Time berween chole Obserrations and rho) sirs Rule, che Time ot che Zropiek will b e tound
truerinie ol che Fropick; and consequently, il ihe bs chis Propercion.
be lace ihe Axis, and che correspondent Limes
From HC Lropick, expounded by Lines, De crected
OH tneir respectire Poines in che Axis a5 Ordinates
the Lxcremicies of chole Lines Mallrouch che C urve
oE 2 Parabola, 25 in the followine Fisure, where
LiHeS aB, bC, cA, C F, are respectirely propor-