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# Title: [Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ (shelfmarks Leibn. Marg. 0; ZEN Leibn. Marg. 0)
# Folio 107, page id 797435492:0341
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797435492&page=341
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine
# Lines: 41 recognised, mean confidence 0.83
# 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.

LiLL
Nam ob ME N. NI R: : PM. ME:: PO. O A; CrIE MHI X
OA =NR X OA; hoc est rectang. pB = rectans. FII.
X. POTTO, Curram A B FanSAE reCtA M P, CINEGNE CUrVX DZO,
aest tales, uE F. X aequetur ip (I M Y, _ pp ipsi M E; erit spatium
aes aequa le spario D X OB.
NNaM M N. NL R:: M T. M F. GuarEMNIX M F = ML RXMF;
hOc eCL KV X pB = F SX F X; unde patet.
X FTincrurIuS, superficies solidi ex spatii A B D circa axem A D
159.
convertione progeniti ad sparium D X OB se habet, ut Circuli C ir- f. 8. 758
sumf. ad radium; hoc isicur noco limul illa innocescet. unde rursus
Sphaeroidum, Conoidum que superficies dimetiri licebit.
ZII. Silinea D Y Pcalis Fuerit, uE SIE F Y = V F X XME. erie
solidum ex spatio aSs circa axem a 6 rotato factum xquale solido, quod
ex spario D B I circa axem D B rotato prosionitur.
EFeNII CAEMH. M R::M T XM F. M Fg:: F Z XM F. MF9
5: F Yg. M Fg. QuarEMNI X M F 9 =M R X F Pg. hoc est ur FIZ. 158.
X pl G = F S X F, L9.
XIII. Simili ratione Cuborum (aliarumque potestatum) ex ordina
ris u P summas cum spatiis ad rectam D B compuratis licebir conterre.
XIV. SinE prXeterea linEX AZ R, aE. L taleS; WE F Z ipAM F, X
p EipCI T F xquentur; spatium a C L x quabitur spatiO AD R.
259.
EIenII M N. NR:: MT. TF; hoc est uV. FC:: FZ. HE. F18. 158.
qare p V X N E = F C X FY.
ZV. Fciam summa quadratorum ex axplicatis u E xquatur summae
ReCtanCuOrUM ex TF, FZ; _ summa Cuborum CX pe Z aQUanEUE
2.
ipsis TF qX FZ (ad rectam scilicet A D compurationem exisendo) F18. 258,
parique quond exteras porectares modo.
ZVI. Rurtus ponatur recta O MI P currX AM B perpendicularis;
Tirque recta 6 s aequalis ips B D, E compleatur Rectanculum abd
1255
TI CUrrA RZL calis SIC, ut F Z ipsi O P aequetur; erit rectans. abd C F18. 160
aquale spatIO ADL K.
Nam estMN. B R:: (PM. M F :: ) PO. TF. GuarE MN
X IF = N RXP O; hoc et ur X pE = F C X FZ. unde Patet.
HIrC
e19. 258.
d68