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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 806933011:0744
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Riehr Fine ac; and deau oue ehe Lires a b anee
ed, tillther meet rosether in che Points.
Cn bc: ba:: BC: BA, 8. 6. 1
D E M O N SY R AFFON.
Fallel roc d alto, becaule ehe Angle a c b, 15 equat
toche Angle ce f; the Lines bc and fe are paral.
lel. Wheretore bc df, must De 2 Parallelogram
wtole opposice Sides are equal, 1hac b f = c d
and bc
a
Theretore, because e d is parallel corhie Base af
OF the Friangle f e a ; de: f d (Or bc): 
Thacis, d e: b6 2: c,6: ac. And cheretore
alternalr, d e: ce : : b0: a c. And (0 chie
Sides abour c and care proved Proportionable.
A)O becaute bc l Patallel co che Base f e, ot
calilus donc by ine dneleo and a
2C : : f
COROLL A RY 1.
From hence ic Follons, Thar all Similar Trian-
eles are to one another, a5 che Squares oftheir HO.
mologous Sides. For chele Triangles are the
FTalres oF Similar Rectangles Or Parallelorrams,
Which are to one anocher in a Ouplicate Ratio oF
cheir Flomologous Sides: Theretore che Hlalres
must beas che Wrholes.
COROLL A R Y II.
AII Similar Polosons are co one another 25 the
Squares ot cheir Homolosous Sides. For beine
made ux oE Similar Trianoles; the Aggregates Or
Sums will be to cach orher, 25 the PartS CUF, OF
Wwhich cher evere made.
SIMONZ, is an unlantul Contract made to
have a Man presented ro a Rectory or Vicarage:
Ic was agrecd by allthe sustices, chat if the PattOM
prelent any Perton co a Benetice wich Cure, FOK
Moner, thac such Prelentation, (9c. is roid, cho
che Prelentee vere not Priry ro it, and che Scature
sires Presentarion ro the Kins: Buc chis is non
repealed
SIMPLF Flant. Sec Flante.
SIMeLE Place, 2 Term in Cieomerry. Sec
Place Simple.
STMPLE Problem. Sec Linear Problem.
SIPLE Problem, in Machemaricts. Sec 2
Linear Onc.
SIMPLE Duantities, in AISebra, are TucH 25
have bur one sign, Whether Postire or Nesatire:
Thus.
a and = 3b, are simple Ouantities.
But a ] b, and ]. d- c- hare compound
Ores.
SIMEL E Tenaille. Sec Tenaille.
SIITAPISMOS, is a Medicine applicd ro che
Head, and is prepared ot Mustard, Wila Raddimt,
and Leren. Blanchard.
SINeIOT, ihe Fore parr of cheHlead, reach.
ins trom he Fore-head to the Coronal Suture.
SINE, Or RishE Sine, iS a righe Line dram
Fromone end of an Arch, perpendicularty uxon the
Diamerer dravn trom che ocher end ot chat Arca;
Or ic is halt che, Chord oErvice che Arch. SeC
more under che Word Trigonometry.
SINE assensu capitali, is a Wric against him
tharalienates Lands wichour consene oF his Chiap.
Fex OF Covent.
SINE- Complement. Sec Complement.
STNE dic, in Law, when Judement is siven 2-
sainst che Plaincist, he is Caid to De in misericordia
pro falso clamore suo: Buc Wvhen For che Detendant,
then eis Caid, F. at inde sine dic.
STNGLE, Or Simple Excentricity. Sec Eccem-
ericitu.
SINODETOS, or the Flickoup, is a Convul-
sive Morion oF the Midris, caused by coueh and
irregular Parricles, Foreins it corhis disordinate mo-
tion. Blanchard.
SINTCAL Ouadrant, is made oF BraIS Or Wood,
wich Sines drann trom cach Side intersectins one
alocher, wich an Index dirided by Sines allo,
d he Fdge, ro cake che Alcicude oF the Sun.
Sometimes instead ot sines, cis dirided all inco e
qual
Becaule the Angle a = Anele dC e a f, 15 p2
che Friangle a f e. Theretore ec:
Or c4) : ab: Thac 16, ec : ac:: c d : a b
And cheretore alrernatty, ec : c d : : ac : a b
And so rhe Sides abour rhe equal Angles a anc
doe, are tound Proporrional. The same may b
Aoter Demonstration 67 Latub.
Because the Angle A is = rO a, AnglC C 10C
(5C. Theretore the Ark opposire to them must be
equal: (Thac is, noc in lensch, bur must concain
an equal Number ot Desrees.) Wheretore Cords
alto lubrendins chose AekS, must De Proporrioriable
Cordsof che lame Number ot Degrees; and con-
sequenty will be al Similar Parrs oF cheir oWn
Aoper Radius.
Thatis, Ca: ab:: (in respeCt OF itS R adtiu5)
C A: AB. in respect oE irs Radius. Theretore) wirh ninety Deorees on the Limb, and cwo Sighes
luce diled aboue ile egual auoteo oul be propot.
cionat