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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 87, page id 797435492:0315
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E. E C F. XI.
omnia A Z. X AF ) - BZ XBF. ]. CZ XCC, 80.=
D E cub.
Crune OmNIA A Z X VV AZ 8. )- BZ X VVBZ8 = C7X
DHcub
NVCZ8, 86.=
V= = -
DF7
8  FI aurem DH9 L
2VD + e, vel DH = 8VD L P2; quapropter omnia AL X
VVAZOA BZXVVBZP L CZX NVCZ8, 80. =V
18 Y D + 82 = Z Y VD+83.
VI. Exempla. Sit V D at circuli quadrans (cujus radius dicaeur
R, e Peripheria P) sEgMenTa V AZ, VBZ, VCZ, 050. in si-
q
Icem Summa AZ YV AZ ] BZ YVBZ F CZ YVCZ,
16. = = a
RP
Lo p3
1 8.
Si V D .L sic Paratiolx sesmentum, factum e segmentis in applicatas
erit Z V DgX A. L9; ac c radicibus segmentorum in applicatas Factum.
erit Z N E= VD. XD p3 V 3Z= VD3XD +3.
Similia plura de Factis e Scemencorum porestatibus, aut radicibus
aliis in applicatas, aut sinus ductis, hinc extundi POsenE.
VII. F dictis porro sequitur, si omnes (verrici, ex perpendieula-
ribus incerjectae) VP per respectira puncta A, B, C, ec. Concipian-
tur applicata, Dutd uE AY, B Y. C 7,00. respectiris V P XGueNtuE;
erit e lic applicatis constientum sparium A DEd aequale semisse quadrati
ex subtensaV FI. 1 1.
PTam, ob Omnes V A ) - VB.)- VC, 55. =
1is (3 1C,  et L
..
A P. ) BB, ut CP CC. =
vi
D43 _ omnes.
193. liquet Eore omnes V P. =
is
VIII. POrTO, I(Politis utdem) lic curra LE X AS TalIS, ut lIC L X
A P, _K X = BP; _ LX = C P, ecc. erit solidum factum ex
spario
L18. 223.