# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/806933011:0643
# Permalink to this reading: https://leibnizlegible.com/page/806933011:0643?run=74
# Title: Lexicon Technicum: Or, An Universal English Dictionary Of Arts And Sciences (shelfmarks Leibn. Marg. 71; ZEN Leibn. Marg. 71)
# Folio - , page id 806933011:0643
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=806933011&page=643
# Source image: https://digitale-sammlungen.gwlb.de/content/806933011/jpgs/default/00000643.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 91 lines, status machine
# Lines: 91 recognised, mean confidence 0.81
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

00
the Polrson, and trom thence dra Lines t0 c.
very Angle a b, a c, a d, ecc. For ther Mall make
25 many Priangles asche Fisure hach Sides.
The Angles oF any Polyson taken together, wil
make evice as many Righe ones, excepF FOUT,
25 theFigure hath Sides.
Thus: HF the Potyson have lx Sides, (as inthe
Figure above) the double of chat is +2; From
Wohence cake 4, there remains 8. L Cay thar aII
che Anoles b, c, d, e, f, e, OF thac Polyson cakren to.
gecher, are equalro 8 Righi Angles.
For che Polyson harins 6 Sides, is divided inte
S Frianeles; andthe 3 Argles oF cach, bY L. c 32
Eucl. are equal 10 2 Righr ones; (0 char all the
Angles rogether make 12 Righrones: But cach
ot chele Friancles hach onc Angle in the Poine
and by ic ther complear the Space round the laic
Point; and all the Angles about a Point are knovn
eo be equal co 4Rishr ones; Wheretore thole L
caten From 12, Leare 8, the Sum of che Righe
Angles oF che FexasOn.
So chac ris plain, che Figure hach tvice 25
many Righe Angles, a5 it hath Sides, CxCCPE A.
B C. D.
is cqual ro a Rectansieu Lansle, one ot wtole
ochex he Perimeter (or dum ot alt he Sides) 0t
he PolyGom.
IF vor take a Point, de a, dny where wictiir
Every Polyson circumseribed about 2 Circle,
Legs Mall bC the Racus ot isse Circle, ane the
le 
Mrii
Lec che LineF A BC
B
equal t0 dius f
and eO iC aE Righe AN
oles drai che Infinir
Linc ABC B, OC. Ou
se trtien latie
EOAB, B B = 10, 1
AB
1di C
ec. 50 chac che whole
Line A BC D L A
may be equal to chc
Whole Compals Or Pe.
rimeter oE the Polyson
AISO deaw FF, P2.
bbdc. a
rallet 10 A A; CO char
all che Porpendicula
EB, FI, F k, (90. IM2
de cyuatoa Hladius
su ca
tcll eta
roche Trianole a f b i
the Polyson, andthe
ed t
oIhC ACFD
cf d, ec. 50 chac al
chese Triangles caket
rogether, will beequa
20 al chese in che Poly.
sonus or co ehe whole
is then plain
a C  Wocl de eisua
0l950
Butcte A F A A is
C
  dl equa
equalro all ches Tri
angles wichin cheParal
lels; becaule drawin
the Lines BF,
t
(90. The
eo che AF AB; ch
30
dd = 2+ CD
WVheretore che LeI
ansle PA A is eo
re
he Lorso o 
obe provec
COROLL ARY
tence erery Regular Polyson is equal co
Rectansle Trianste, one ot Wwhote Legs id
the Perimeter of the Polyson, alia elle Olties
a Perpendicular dravn tront c e
one dt e dideo De e Polysono