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# Title: Ioachimi Iungii Philos. ac Medic. D. & Gymnasii Hamburgensis Rectoris Geometria Empirica (shelfmarks Leibn. Marg. 9a; ZEN Leibn. Marg. 9a)
# Folio 17, page id 73061350X:0025
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 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.

pi
26. Bina quadrara e Catheris AC, BC. crianguli rectaneir-
lisnimirum C. AD, C.BL limul Cumpca, aeguancur quadrato
tixporenuta, nimirum ipli AFCB. Si enimapiceangulire
etiC, in hiyporenulam AB. perpendicularis CFEdemitracue,
ex procucatur, donec quadracum trpocenula secer in bina
oblonsarcetangula AFIHCC FICB; urrumq: corum equa
Dicur quadraro contermina cacheci: nimirum AFIIErectan.
bulum, quadrato CAD, d rectangulum FIBCII, quadraco
CBB. Duin ec conrertendo, si quo in triangulouniusla-
ceris quadracum aquerur quadraris reliquorum duorum;
eriansulum iltud eric rectangulum.
a
BLEAATA
23. Dato triansulo ABC aequoaltum e aequale p2.
rallelosrammum, in dato anguIo Z ConAtruCrE.
Unus apicum erianguli daci (prolibitu) eligacur rercex
criansuli, nimirum B. Ducatur per verricem B recta paral-
lela bali AC, qua sicDBF, e bilecetur balis AC in F; (ad al.
cerucrubaleosterminum, nimirum A, uererricem) tiacan-
Sulus FAC congruus daro angulo Z, ita ur ducta AClcceE
rectam DE in TI. A recta DE extermino II velccCTUrHII, X
qualis ipEI AF, ita uc puncta Fec I cadanein candem plagam
rectae AEL; ducta F) complebie parallelogrammum quaesi
FEM AFITI.
XI. Si construendum sit rectangulum paralleloerammum; una ope-
race bisectiofit, es rectus auculus construitur.
C OrOII. Licet ergo tria parallelogramma inter se tum aequianeula,
tum aequalia construere.
24. Datotriangulo ABC, supra latUS ejuS AC, qualI
supraterminatam datam balin, in dato angulo X, p2.
rallelosrammum aequale construere. Sire, datotrian
sulo ABC, aquale Parallelogrammum in daro angulo
Lconstruere, quod lacus unum, nimirum AC, cum.
triansulo communchabeat.
AC2.