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# Title: Francisci Dulaurens Specimina Mathematica Duobus Libris Comprehensa (shelfmark Leibn. Marg. 134)
# Folio 119, page id 1066520976:0141
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LIBER L. C APUTV.
pihil etse cnca. Laelio hamque ab anguloru.
aequalibus laceribus comprehenlorum, verricibus, quasi
ceneris, e lacerum xqualium intervallo, circulis, arcus
incer corum latera comprehensi aquales CrunE, Propter
policam cum lacerum, cum anoulorum ab his compre-
henlorum xqualitarem. Ondehorum arcuum equalium
subrenla, qua dictorum Nlorum bales sune, inter se
aquaneur (ex probatis ad definitionem circuli).
P R FNE A P AR S.
CONSTRUCTTO, ET DEMONSFRATTO EN 2, CASUI.
Jam s in propoliris Olis unum ex lareribus altero ma-
jus sIC, DE in 3, X 4 Aguris. Ab altera parre majorum
lacerum, ex ad ipsa majora larera, in punctis aequalium
angulorum, a dictis laceribus comprehensorum, HanE aD.
gulinominatis angulis aquales. Jam urerque auctus angu-
lus aequaliserie; cum ucerque sic duplus angulorum ex
trpochelixqualium. Siigitur ab horum aequalium angu-
lorum verricibus quasiceneris, incerrallo rero minorum
lacerum, ex trpochesi aqualium, arcus inter iplorum lace-
ra intercepeos delcribas, crunthiarcus xquales inter le.
Ouamobrem echorum arcuum subrenla inricem aequa-
buneur. Sed has subrensas aequibisecat majus proposito-
rum Llorum lacuS, Proprer policam Llorum ex ueraque
talis laceris parre existentium aqualitarem; critergo ca-
le lacus ad iplas subrensas perpendiculare. Ouoniam au-
cem subcensa inter se xquantur, ut probatum est, et
ab iplarum exrremicatibus, ad rum, in carum medio
crectum, ducta rectae linex, hoc est, descripcorum ar-
cuum radii inter se xquales funt. Pgitur perpendicula,
a punctis in quo radii concurrunt, in subrenlas demissa
inter le aequantur. Sed illa perpendicula partes lunema-
jorum lacerum, per hxpochelim aequalium; ablatisergo
abhis, nominaris parribus aequalibus residua majorum
equalium laterum invicem aquabuneur. Aequi residu
illx linex aquales perpendicula habent aequalia, medie-
caces nempe dictarum subrenlarum. Ergorectaelivex, ab
extremis calium plorum ad exerema residuarum ex majo-
SIIHIIB IHBIMIIII SMB MMIIIHII IIMIMHHE