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# Title: Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio (shelfmark Leibn. Marg. 84:2)
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Arithmetica Infinitorum.
PFOP. L3.
nibus descripca) aequalis lemissi peripheriae luae B, bis sumpca;
e in secunda Spiralis MIABC (cribus circulacionibus de
Tcripca) aequalis lemissi suae peripheria C Fer SUMPEX: Cum q3
lupponantur aequales peripheria B in prima, et C in secunda,
CPropeer X quales radios;) erunc Epirales MAB prima, 
M ABC sccunda, ad invicem 2 ad 3, (nempeve peripheria bis
lumpca, ad eandem rel aqualem ter LI PEan;) hoc ett, in re
Ciorona ratione rectarum homolosaruM MA, MA: Nam recta
M + in primA CCC E FECCX NAB, _ recta Ma in sccunda eAt ? (e-
juldem vel aqualis rect) MC: Cunc ivitur MA in secunda ad
MA in Prima, 115 2d3, ves uCE ad 5, vel nc 2ad 3. 1de04;
Spiralio pricris scorvencum MAB, ad Spiralis posterioris les
MEMEHM HABC, uc recta Ma in secunda ad rectam MA im
Prirma.
Acq; idem similicer oftendetur, quaecunq; sic ratio homolo
Barum rectarum in distimilibus (picalibus.
PROP. ZIII. Corollarium.
r autem ejusmodi spiralium dissimilium recta
conterminae sint etiam inaquales; erunt illae spirali-
un seementa adinvicem in ed ratione quae compo-
nitur ex duplicata ratione rectarum conterminarum, 
reciprocaratione rectarum homolosarum.
Sequitr Cx prOD. IT. 12.
SCHOFTVM.
Nocandum autem est, in proposicionibus praecedentibus, qua
cu ii qua in delinea Spiraliagune (quod e in sccururis aliquoe facturus
Epitora ad Dachtam) me linea Spiralis appellationem (ne lonsa circumlocu-
grodu praetacus cione cories opus sic) abisire ulum Fuisse. HemDe, per lineam
Spiralems (gnories ea ad PexipheriaM COMPATATUE,) inrellectum
vellem Pcereeaium omnium arcuum Sectorum similium, numero infinito
rum, exe quibus conssat fieura illa ex infiniiis numero sectoribus Spirali
inscriptas (qua Scilicet _ nos adt Prop. 5. Ecc. hujus, ec Archime.
des 2d Prop. 3 1. 8C. lin. Spir. WA Cumius:) ue 2d prOP. 5. innui-
mus. Ouod quidem ABcregacum ipa linea Spirali proprio
temlis Cum pCa, Derpccuo minus est, ee maxime quidem cirea spi.
ralis
non connihere