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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 89, page id 797435492:0317
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# Lines: 39 recognised, mean confidence 0.86
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R. B C 2.
XI.
CO ==RL XB Z; _ AB XBE = TRXRZ, _CV A R AF:
DIXIZ. Verum suma C D X DII -)  BC X CC-] ABX
BF + V A Z A F a spacio V D HI minime differt; C Cumma L HL X
DO. J - RT XL Z F IR XR Z -]-D IX IZ a spatio D HIO mi-
nime differt. itaque spatiO V D EI, D EIO aquanEE.
Hloc perntile Theorema doctictimo Viro D. Gregorio aberdonensi
debetur; cui sequencia subnectimus.
XI. Tisdem positis; Colidum ex spatio D HO CirCA AXeM VDR
rocaco tactum duplum exir Colidi facti ex spatio V D H iridem circa aR. F18. 125.
CMV D ROtatO.
NNam est HL. L. O:: (DH. DT:: DH. HO::) DH9.
DExHO. unde HIL X DH X HIO = LOXDHI9 = CDX
DEg. Simmilique disCuRTU (ANE L R XDL XL Z = BCXCC9.
_RIXDR X, KZ = A BX BF 9. _ demumIDXDIXIZ =
V A X A F g. EA aurem (ut rulso mocacum habetur) CUMA C D
XD H 9 -). BCBX CC9.].. A BX BF9 + V A X A F 9 dupla
summI D IX PF -]. D R XR F -IDLXLC, 56. Ouare Tolidum
ex spacio HIDO circaaxem D R converso factum duplum est Tolidi,
quod e spacio V D H circa V D converlo producitur.
ZII. FIINC, CUMMa DIXIZ FDRXRZ L. DE XL. Z, XC.
aequarur summx quadratorum ex applicacis ad V D; Scilicer ip (IS AF9
t BF 9 -) C 69, ec.
XIII. Simili raciocinio constabir summam D lgX IZ -) - D KgX
XZ - ]. DLgX LZ, _c. criplam ese summae DI9 X I F.I. DK9
X R F -  DL qXL. G, ec. hoc es, aequalem summae cuborum ab
omnibus AF, BF, CC, ecc. ad VD applicacis. Idem quoad re-
liquas potestates obserrabilis eA C orelusIonum tenOr.
ZIV. lildem positis; (I D XHI Cir linea ralis, ut quaevis ad D 1I
ordinaca, ceu l Z, Cic media provorrionalis inter libi congruas ordi-
natas IF, IZ; erit solidum ex spatio V DHI circa axem D HIFOTaLO
duplum Colidi ex spario D Z H circa eundem axem D H conver sO prO.
creati,
NaM Ob VAXAE =-DIXIZ, CrIEVAXAEYEI = DIXIZXIF =IDF
X9. Similique de causa A B Z B F X FR == IR XR X9; _ B C. I 2O huius.
YCOXOL = RL XL Z9, _C. FS AuLEM SUMIMA V A X AF
XFI. L ABxBFx FK. H BC X CC XCL, e c. Sub dupla sum
MX