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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 806933011:0486
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duces a Bodr perfectir insipid; irtrich plaitus
Aews that Pasts dexend on Mechanical Princi
ples, and are rarious, acco d cl Pariou
Textures oF Bocies.
nodicat, ox Tlumand mest lec in cheir pe
LONAL Cycle. Sec Cycle of the Moon.
LONATIONIS of the Moon, are the Times
between one Neu Moon and angther: And LIIS
is srearer than ihe Periodical Month by rve
Days and sire FTours; and is ealled che synodi-
eal Month, consittins ot 29, P ay5, 12 Llouis
in the Form of a Crescent or FTalF- moon, made
by che Aets ot tuo incerlectinq Circles; a5 in
the follorrins Figures the Space LIs
lax, ic must bc chac AB 9 = 2 BC g
Ot che lesser Circle A B.
Ouadrane A B C demi-circle BL A.
LLoCeclacaat d ata Le cavoa LIdLLLe
acid L aII VEL CIIC STIIOM OL EIHCLC LOSCTMeE PFO.
DeF PlaCCS.
and 2 OF an FTOUT.
Et
a Lune.
LONALY MontBs, ae cither Periodical, Sy
PR OPOSITTOW 1
1. Lde Quadrarure os tippocrares hin Lune
I, 15
cher
Tlay, ihe Friar
L. I, and L. 2.
DE MONSFRAZTON
The Friansle J Beins Ouadrancal and Hosce.
Bac 2 B Cg = = Square OF 2 BC = : the
Square oF the Diameter o5, the greater Circle:
thac is, the Square oF the Diameter OF the grear
et Cirele is double che Square ot the Diameter
Theretore the Semi-circle on 2 B C = twice
the Semi circle BL A; and consequenty che
Take cherere el cach the common Scg.
Ceometer, are Fisures ine Lriansle T. 8. F. D.
ment S, and chere remains the Lune L = 10
3. 10 square ihe Las s st Ll L.
chroushc the Centre oF the lesser Circle, must
diride boch Friansle, Seomene and Lune, inco
qvo equal Parrs, and consequener =I = Z L.
And chus che FTaIF Lune is squared.
4. L0 sguare any Part lest or greater than
Tals the Lune.
and a Lune, 25 L. Tis required ro find che
DEMONSTRATTON
The semi cirele on BC is equalro che Semi-
And elle Scements, S L and S 2, are com
mon ro all che chrec Semi circles: Which vens
catren trom the greater Semi-circle, illes scare
che Frianole I; and catcen from the tuo lesset
Semi circleo, chey leare rhe o lunes, l
Theretore che Friansle Y = 20 boch che
2. Ochervise in 2 Quadrane,
circles on B A and C A.
and L 2.
LHes. 8. E. D.
Seoment oF the Lune B P. D, made by che Linc
F C dramn to the. CChrre of the grearer Circte:
which Pordie Cairh 15 as difficule 25 squarins rhe
Lec there bea Onadrant, a5 betore, B A C:
Circle. Lib. 6. Arr. 64.
CONSTRVCTTON
eles with FC
Parr OF thC L une B F D.
Dran E B and E A, and B C at RighEAN.
Y, the Triansle B P F is equal t0 che
+
because ris equat 10 d a =s, a5 being ex.
1a, el. Ltlalio e Z, 25 equal 10 ihic L une L. cerpat Ed C Lhransle C L. b. Buc ic Ao
MONSTRAFFON
The Angle at G = = OF a RighE Angle