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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 228, page id 175905688X:0250
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=250
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine
# Lines: 39 recognised, mean confidence 0.88
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

228
LR ANCISCF a SCHOOTF N
At vero duabus conditionibus deficientibus ad hujus puncti
determinationem, locus, in quo illud reperitur, superficies est,
quae similiier aut plana, aut Spharica, aut magis composita esse
porest.) Ouxe rerba, ut recte incelligantur, exemplis sequenri-
bus illUIFEFare COnABIIIUF.
Daro trianoulo aquilatero ABC, a cujus vertice B
Supersiciem 2d balin A C demista lic perpendicularis BD: OpOFtCAE
inera ipsum invenire punctum, uc P, a quo li ad oppo-
lita lacera deducantur perpendiculares VF, P CF, d
EFI, ipla simul sumpex aequentur perpendiculari BD.
Factum jam (IE, XC prO-
ductâ FF, ulque dum se
cet latus AB in I, BC
vero productum in R:
DONatuE A D Seu D C
Da D BDB, A F DX, 8
F F ∞ p. Flinc cum sini-
lia sinc criangula ADB,
_E AFI, CTIE SICVIE AD
ad DB, hoc est, a ad b,
ita A F Seu x ad F. I; qua
ideo erit =. F. qua (i au-
FeratUE F P ∞ y, relin-
quetur F. I∞ = - y. Si-
militer, quoniam similia sune triangula C D B. _ CFR, erit CD
ad DB, hoc est, a ad b, ut C F PCU 2 a = x ad FH; gux ideo erit
2b - =. F. qua Si auFCratUF F F ∞ Y, restabIEF K ∞ 2 b- = -y
Fodem modocum, propter similicudinem criangulorum ADB,
E GI, A B Sic ad AD, hoc eHt, 2 a ad a, (CU 2 ad F, SiCUEFF feu
= y ad F C+; CFIEL C ∞
=y. Non lecus, cum similia
sint triangula ERHI _ DBC, crit ut B C ad CD, hoc est,
2 a 2d 4, CCu 2 ad F, ita F. R (eu 2 b -  = - y ad F FI; quxe ideo
C.
Locus ad
le
dic