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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 806933011:0601
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MONSTRAFTON
Ci = 5. = d.
= b
becalse b - - f = 2L
() 25CL Cucl.) and f = 0 by Step. r. Where-
Do C
5 = 2L, becaute 5 F b = 2 L
(By 13 ef.) ande = b (b7 Step. 2.) Wheretore
LL. vel the last Fieure.
COAOLLRkF II.
Tuo Righe Lues as Lia Parallelro a Third,
wrhich curs ox crosseth ehem boch, and conse Ansle a == b, and 0 al(0 == b, becaule che
quenely (since an Ansle is che Mucual Incact.Outer Lines are Parallel ro che Inner one:
Thereforeche Ansle a = 6y 1. c. TheEWO OureF
Lines are also Parallel by Cor. 1.
ne
because o = o irs Verrieat or oppo
ole, and o =f, bxthe precedene Corol-
aF)
is
C = b, becante = 10 a, ntich is = b.
3
di because:
orored che lame ray
Thus the ervo Lines, a b and c d, de
it fhey are egualr Distane L Cacu orher in
e, BD, bd, and in all orher Places.
 because a
- b,
Tore 0-)
=cn
COROLLAEY L. c.
Pnrallet Lines P p, have the Came Inclinatam
and a = b
one a5 tha OrHex, to any RighE Line 25 Z Z, as F, are Parallel to cach orher. For Sincethe
on oE rvo Tines rhich meer Il a POinc) che Fx-
ternal angle ot a,  de eguut  Inter-
nal and Opposite one, fOr b: That 16, 0 = f,
im
a
eROBL P M I.
A. F29Bt LnC as Z.  veins siven,  ano2
ther Lael e0 it, theo A, a siven Point.
it must be becaule the uppet Lalauet L, LsCC.
more or less inclinedto L L Thanche lover l’a-
rallel p is; Wtrich if crue, chen che Lie Cal
be Paraltet; wohich contradicto ihe suppoli.
rior.
=
aotOSFF+ON.
For it o be nor equal tof, and a nor equal E0 B,
ARishC m L L. Saci bn cd L allet L. ines
pates the Alcernare Areles 0 =5, and
b; also 0 = d, ant
o Incernat AnBLC c- ( b, or c )
ina t
Fuo LLSHt OnCs
c
3
Thar i3,
From A draw a Line makino any Anple, 25
ABC, wich ehe siren Line; then serrins Me
FOOE OE the Compasses in A, make c AHG(C
BAC = AB C 10 MaII C AO be the Linc
reguired, for che Ansle A = 10 ihe Alerrace
Onie B.
PARALLKL