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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 85, page id 797435492:0313
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 C. 1
Eliquisureunque parratis apponemus iam quae ad magniendinum
LL erangentibus (seu e perpendicularibus ad curras) Dimensiones
eliciendas percinentia se objecerunt Theoremata; de compluribus utiq
selectiora quadam.
I. Sic curra gux piam V HI (cujus axis V D, applicata (I D ad V D
(DutaE) ducatur recta L. D au curram pexpendicularis, _ recta F AZ ad
axem perpenicularis, sic recta AZ interCepEX A P aequalis; erit sparium
AD d.  aequal s semissi quadrari ex recta DH. Novi dudum
Plaa sic ansusus HI D C semirectus; e aegnisocetur recta VD in-
detinice punctis A, B, C; CPer qua ducantuE rectae F AZ, FBL
CCZ, ad HID parullelX; Curva Occurvenvsin IE, F, C; a quibus
RCCIX FIY, FK Y, OLY ad V D (vel HO) parallelae ducantur;
quin _ recte EP, FP, GP, HP currx V II perpendiculares sint; li-
nex vero se incersécent; ue vides. Fsque triangulum LILC simile
criansulo P D E (nam ob indetinutam sectionem curruia C H pro re.
eta haberi Bores) quare HIL. LG:: P. D. DEL adeoque HL XD H
LCKDD, hoc est HIE X EIO = DC XD. 1. Simili monstea
bicur discursu, quoniam eriangulum CM F exiangulo P CO assimila-
CUIX, FOTELR XE Y : CBX CZ; _ (IilICEE IC L XR Y = BA X
BZ; icidem denuo IO x IY -= A V X AZ; unde constac criangu
lara HIDO Cquod a rectangulis HL X HO I L. R XL Y L KIX
KX-]. IO x I Fminime difterc) sequari spario VD + e Cquod ici-
dem a rectangulis D C X D L - ]. C BX CZ.) B A XBZ ]- AV.
X A Z minime differt); hoc est
D1s
equari spatio V D + 8.
Corpior discursus apasosicus adhiberi poltic, ut quorsum?
II diidem
6. 127.