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# Title: Leibniz-Handschriften zur Mathematik LH 35, 2, 1
# Folio 278r, page id 00067993:0557
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 279v); this page is its right half.
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 70 lines, status machine
# Lines: 70 recognised, mean confidence 0.91
# 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.

eu ordinati
in plano aliquos
am alsti ex cuju punctis C
ir
aanem 1B2B3B demittantur b
s
 inter
1d 2d3d ek. parullela ipsis BC, sive 
riore
tu
reooilis
cum axe 1B2B3B etc. angulum faciense in A.
in quam ex punctis C demittantur ipsae CD.
 asi 1B2B) B etc parallelae
set nonninqu
vice ordinatae conjugatae. ipsae autem AB ut
A.B. A2B.  etc. dicantur abscissae. Et
sae A1D. A2D erc. dicentur Abscissae conjugatae
ta ap
in sectrix etiam vocari solet AXIS maxi
si aliud punctum fixum praeter Ae nemper (4) aut F)
aut xe conjugato Ad
in axe assmatur AB, assumatur, ta ut puncta BC
cadant inter A et E. ( et F) orunt erunt
vel 2BR
. e complementa abscissarum
DF. DE complementu adslissarum coujugata um
eta E
GR
parallel itla ipsi, AF (AE) erunt CG complementa
icatarum vel
 sidinatarum BC et erunt ckcomplementa
ordinatarum conjugatarum cd DC. + quod si
nctLinea ipsa  producta incidat in angulos
rectarum nempe A et H. et AEHF aelogram
erit AEHCA Trilineum et AFHCA erit
Trilineum complementale et A AEHF erit
parillelonammum trilineo circum scriptum. Quod
paralle logiammum si sit rectangulum, seu si
ordinalae sint ad axem perpendiculares, tunc
Trilineum dicetur Orthogonium. Et
A erit vertex et AE altitudo, et EH basis. Frici
Altitudo autem idem quod maxima abscissa
et basis idem quod ultima ondin applicata
invertere etiam licebit et considerre sumto trilineo jacente HEACH (id est AEA CA) velut erecto
considerare H velut verticem HE velut
altitudinem, et AE velut basin. Idem est
in trilineo complementali AFH CA vel _ quod idem
HFAC H, prout sciliaet Avel H pro vertice, et
AF vel FH pro altitudine vel pro basce sumimus.
Unde etiam omdinatas sumere possumus vel CB
ipsas BC vel ipsas CD, vel ipsas cG vel
denique ipsas CK. prout confiderati contemplationi
utilius videbitur saepe enim multum interest
Multum etiam interest interdum quodnam
assumatur punctum fixum. Nonnunquam
enim proderit praeter verticem A vel punctum
infimum E. aliud assumere punctum fixum ut L
unde absci unde ducta LM parallela ipsis BC
erunt LB vel LM  abscissae vel abscissae conjugatae,
CB autem et CM erunt di applicatae vel
applicatae conjugatae. Sed in primis utile
est eorum punctorum earumque rectarum
rationem habere, ubi maxima minimave curvae
latitudo est ut B+C SBC seu ubi ordinata
u ipsa est maxima ut a B vel 4BaC vel minima ut 8B8C
 e  ti u
complementa ordinatarum vocare retiam soleo
alas complementales
orde