# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/806933011:0603
# Permalink to this reading: https://leibnizlegible.com/page/806933011:0603?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 806933011:0603
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=806933011&page=603
# Source image: https://digitale-sammlungen.gwlb.de/content/806933011/jpgs/default/00000603.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 78 lines, status machine
# Lines: 78 recognised, mean confidence 0.86
# 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.

AISO, is cirhex Les oF an ABBle B AD, 25) For every Priangle chac can be dravn on Me
suppose che LeB AD, or ans part oF chat L CB
AB, De conceired co morealons the aher A L,
rich a Mocion Parallel ro irs Airst Siruarion, ic
vill allo deleribe a Ouadrilareral Figure, wtrieh
ifthe Deserient Line AB, be equal tort M
Will be an Fquilaceral OlC. But Whenle Or
genr is cicher longer et oter ans ne Deleri-
Base F B, or on a Basc equal eo ic, ane navine
the Came Fleishe, or beins bermech elle lame
Parallet Lines, Will be equal eo che Llatele
AEB, erhich is haltche Paral2 Ped
orlys will bc equa.
deduccd.
sent A F, (Cor l0 chose ene Lines may De called)
2. 11 0 30
From WieH Lormation of Guadrangles, (anc
allo of Priansles) chele Corollarios maz bc
OROLLAEY V.
ETence all Paralleloerams chat are berween etie
Care Parallel Lines, and on one and he lame
or equal Bales, must be equal
beneLine, ihen che opposice Sides ol heFisure
LR. X
Thac all Ouadrilareral Figures etius Formed
Musc allo De Parallelograms or have nen este
sice Sides ceual and Parallel. The ReaIOn L
ivtrich is, belause che Movine Line, O DC.
Ccribene AI, is alivars supposeu 10 de Carriea
Parallel 10 i selF; and ihie Dilcatue between
A 2t. A D, et A and B e DLIEHE POIES, at
alirazs cC latt. 53e1.
Ca) LuC Ta AF, DF, CB
the ocher mult bc l0 allo; arid chen al che An
eles oF che Fisure. Will be Rixhe ones, and (0
cvill be a Rectansle as AF; and it the Deleri
bent be equal ro che Dirigene, che Figure wil
De a Square, a5 A6. COr. 29, c Y. F.ucl.
FTence also ris plain, That che OppOsite An
eles ot ererr Parallelorram are equal; because
ches do cach ot chem, wich che Anple betWeet
chem, matie rvo Riphc Aneles.
Mar ene lante Bale DF, or us equal Ct
must be equal to onc anocher
FOF MhC Parallelograms A F, and C B, have
borh che Describenc and Dirisene Lines equal.
And alsO, AP, and D P, have the lame DC.
Scribene Lines DP; and che Line DF, cho in
80 noc in phe same Dirigent Line i0 Form the
Parallelooram D F, rec ic poes in che whole, bu
the Came Pespendicular Alcicude, and only moves
Porer For foins Obliquelr, buc all the Indirisi
ble or Componene Lines in ore, must be equat
comhose in ihC OctieF.
COROLLRRE VI
Hence also Collows, Thac Friangles on he
lame, or equal Bases, must be equal il chey are
becween che lame Parallels; because chey arethe
Elalres ot egual Paralteloprams.
COROLLARE VI
Alto Hom He B Casily proved That che
chree Aneles a, b, c, ot any Triangle, are equa
corvo Rixhr Aneles. (Sec Fis. 1.)
FOF Since cC AC a 1, 0 = 2 L: (be
cause A D is Parallel 1O LB.)
and chat b = 0, Tor che Came R eaTOn.
Theretore b F 0Y a = 2 L. 8 F. V
COROLL. ARY 11.
Since the Angles A and P are toseche
torvo Righe Angles, il one be a Riotic Angle,
DADLLARY Hb
Wrhence it appears, Thac ererys Diaxonat AB
34. e. L L.Uet.
Divides rhe Parallelogram inro rvo equat ParES,
GOROLLARY N
AS alo, THaE eVerY Parallelosram must be
Boublero a Phiansle, havins ehie salle, Ol an
equal Bale and HlelBalo Al e a Ln.