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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 806933011:0291
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The Trvestication of the L’angent 1d EB Culsost
EaBF = g: DC = v. FC = y. CD =n 3
BE _e Hansverse AXCs H che Centre, F A
AC = +:
C Disturpoled e imall.
the Tangenr, F C, OD Ordinates.
A C2: FC2:: AD2: B D2
BucC D2 = OD2
WVHCFCTORC A C: FC:: AD2: ODE
Buc F C2: OD2:: F C F BC: FD X BDB, C Cres BoPetCA
Theretore ACE: AD:: FCXBC: F. DXBD BY equaliry oE Proporrion
Oy Similar Triangles.
Because C D is Indetinicely siralli
QX  it s: qX = x 2
WVheretOre Eg = 2 X 1 = 29X = 2 v x
And cheretore + = 292 - 2 X X
THC lalc Scep in Symbol5.
By Commins an Equarion, and caltinS OR che FerIS
common on borh Sides.
By diridins allby n.
Cattins oRn, or pumine n = 0.
By diriding all b7F.
1 = 2∞. 2. F. 1. (BY diridine b7 q -- 2 x.
PROPOSTFFON. L
LCar, AC: CF:: BC: CH.
: F 2+ n  n:
= 2n X = n
F n X -  = n GX = n n X:
+ X2 - ] - n q X =) n X
WHereIOreF qn = 2n X F = n v = 2En q X
TheretOret. 9 = 2 X F = n b = 2 t g X =
And contegueniys r 9 = 2 X V = 21 q X = 2
=: 29 - 2X :: x : 4 = 2 X
AC: CL: . bC: C1. 2. F. 5.
Wheretoret : g - x : : X: 3. = x.
By dividine che second and Coureh Ferm by 2.
cc
F
E