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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 806933011:0288
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0c = c c, 15
Rectane le D L L. L. L. D.
Wtich Proposicion may be betrer exprt
thus.
or Axis Transversus.
degments ot the Diameter.
Square R I: Square CF: : 0 e c d - c 0c d: ( ParE OE the FiUrC, (Or = OF che Rectansle under
0ic d = eicd:: hatis (diridins aA by c d) a5
Bur che Rectangle DIF: DFF : : 0C = ec:
oi = i i: (tor by bare Mulciplication che Rect.
ansle D I E will be Foundequal t0 c0bb =- ecbb:
and D FP vas abore Found eobc == 0i b b -
leare oc = ee, and oi =i 1.) Wheretore thc
Ehe Latus Rectum and Transversum) and Then exaeL
the Square Roor oF che Remainder: Thac MMaH b
the Distance OF the Focus Fromt esse Centre, aud
then subErACLCHALLLOIM AdIL EHC Ladus Lrans versum
and ic sires P. PY che Diltance ot ihe Locus trom
the Vertez.
COROLLARX II.
Utich Rule is verr ealeim eraeice; Cor  ob
i i b b:) ertrich ciro Ouantities dirided by b b will
Square R L: Square (F:: Rectanole DIF.
sum) ale noctims buc ihe Rectanste oE +
the Rectaneles under che Sesments os ihe Diameter, D E inEO L. ML Che L atus Kectum ((Or   X    -
00ca
In any Fllipsis che Squares os the Ordinates, are as
Wrhich is cerrairis erue allo in a Cirele, vohere che
Squares ot the Orcnates are cqual to MucH Rectan
sses, as beins mean oercnat berween che
COROLLARYS
In any Fllipsis drawine an Ordinare aSFK, and
suppose the Focus ro bc in NV, and chie Latus Rectum
I. M applied in N ac fe ansles e0 che AXiS.
is onty the Square  CL aCe Laus transoei-
Wheretore And ML N a mean Proporrional be-
tveen L M and MO (= = D F) c On C M
M N, andchen dra C H, Whick at Bethc et.
Mance of che Focus trom che l’enete.
(= C E) deseribe a SCMMCHCIC, AHC  LC a pPI
COROLLARY N.
That is, Rectans lC D N P = C F Square
CN Square. Calle Asquare, im m. Andrhen
willche Rectans C DN E = (C F SquarC)
n m. WrhichHTocarion, as one ol che lame na-
Then will che Square OF = ( = = the Larns ture in che Hyperbola, will Beot use hereatter.
Rectum) = 5g. O(L. N BC = ~oCCd d WherC.
Fore by this Proposition: AS Square FI: Square
L. N:: Rectarisle DLB: Rectanole D NF.
Thatis: 0 ec d = cecd. 0ccd
00c
4bb:: oebb-
ccbb:. Weretore ihc Recansle D NE.
oc d
Nou Rectansle D N F -- the Squ. OFCH =
Square C P (bY 5 e 2 Fucl.) and consequentiy
CNSquare = C P Square- Rectangle DN L
Thac 15 0bb 00c4
cheretore C. H che Dillance srom he Cenere roche
Focus, is equal ro Y: 00bb = 000 d
Since in Cor. L. Evas proved, That the R ect.
ansle D N F. -I CN Square = C P Square:
X ete ka e. it.
PR. O P. N
In ihe Ellipsis, the Latus Rectum, is to the Latus
Lranvertum, as the Square of any Ordinate
TK is to the Rectanele D LF, made by the Linai
Intercepced becmoen it, and che Vercices of che
Latus Tranlvertum.
and from hence will arile chis Canon lor derer-
minins che Foci of an Elliptis From che Square ot
hal chx Fatus Fransvessum, Subtract ie courch Frausuesum ob. The Squate o he Drdinare ooca
eccd;
For, ihe Larus Rectum 15 =  , and ihC L acus