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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 262r, page id 00068196:0519
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sit planum  Bed referenium ad tres rectas AB, AC, Ad, inter se noruales tjus sectiones cum planis ABC, ABD, ACd suit reta BC, 6B, cd.
patet esse BC = AB + BC, et BD = AB + AX et CD = AC + AD et rursus 2AB = BC - CD + DP
2AC = Cd- DB+ BC 20 - DB = HE Z cd
Oblato jam puncto E, cujus sublianitas sit A longitudo AM, loniliaquitudo sit AM. latrendo AQ, altitudo AN, debet aequatio invenir relatione
exprimens inter indeterminatas AM, AN, AZ, interventu determinatarum AB, AC, Ad. Scilice, indeter minabo formant parallestepedu
cujus unuop E est in suctimi, reliqui omnias iq dictis planis normalibus. Scedqui Mechodus pro culculo tolis esse potest
cum E sit in plano Bcd, sequetur ex l sola distantia a B et C, ejus silum determinati, Ergo ex EB, EC, inveniri potest Ed. N
ad ex ipsa generali relatione puncti  aE ad tres normales palat calculus docet fore (F = AM + AC- rAC. AN + AN + AC
EB  et B - AM + AN + A9 EC = AM + AC = AN + AQ ED=, AM + AN + AD - A72. Ergo ita ED (ut EB EC) jam habetur
sed ex natura plani datur EB. ED, ex ipsis EB, EC, nam in plano si debur locus puncti E, di Ergo habetur caquatio. Q
Nolo absolvereu calcutum, jadicare tamen placet.
Ex E et d, argantur nonmales in BC, scit. E_, et d dR. jam
ex EA, fi. jam fit ER trianguli BCE aream dividendo per semilatus BC, adeoque tit 
GH = sCE +E = BC. BC - C- EB: 2BC et BH = BC - CE + EB, : 2BC 1 fiat autem ED = SDR - EH + BA- BX
similiter DR = S co + DB - Bc . BC2 - cD + DB : 2BC et BR = BC2 - cd2 + BB, : 2 BC 1
Ex  hoc. calculo, ut oiter dicam patet theorema notabile, esse AB med. prop. inter BR et BC
nam invenimus esse AB = BC - CD + DB,: 2 et BR. BC etiam = BC - CD2 + DBV
Est hoc memorabile pro solidis Theorema, et ad facilitatem taleuli non spertendum.
in valorem priori aequando, et omnia ipsasue
Figua melius delineanta
et superfluis exoneranda
adeo BC, CE EB, BC, cd, DB per AB AC ad AM, AN
rinatarum cujus locus est ad planum