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# Title: Qua Continentur, Oratio Inauguralis. Mathesis Universalis; sive, Arithmeticum opus Integrum, tum Numerosam Arithmeticam tum Speciosam complectens. Adversus Meibomii, de Proportionibus Dialogum, Tractatus Elencticus (shelfmarks Leibn. Marg. 84:1, Stück 1; Leibn. Marg. 84:1)
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10
De Prorresione Geometrica
C AP. 33
49. EEDaCO numero cerminorum, cum rectangulorum as
GresaTO; T, Z; dacur rectangulum exeremorum. VI. CUN
enim AICZ = TV. cric Y) Z -V
50. Dacis nuraero terminorum, rectangulorum aggre-
saco, e cermino minimo; T, Z, A; datur maximus. V.
Nam per praeced. T) Z = H. ErgOAT) Z =-V.
5I. Datisiildem; dacur excremorum ad inricem ratio
. Nam perpraeccd. AT) Z ==V. PrSO A =T)Z =
53. Datis numero cerminorum, rectangulorum aggresato,
_ termino maximo; T, Z V; dacur minimus. A. Nam per
PEOP, 49. F)Z =-H. ErBOVT) Z =A.
53. Dacis iilulem; datur excremorum ratio. X. Nam, Per
praeced. VT) 2 =-L. F 18O.
ciam Z) V 2 T (Z. vel V = T. Z:: V. A.
Vele.
54. Datis excremorum cum ratione, cum rectangulo Z, U
dacur cerminus minimus A. Nam Z) H (A 2. Cujus ra
dix, A.
55. Datis iisdem; darue cerminus maximus. V. Nan
I a = = V2. ErgOV: HX =: =V
56. Datis excremis (vel eorundem ratione, e rectangu lo)
cum communiracione; X3 VL. R; habecur rectangulorum
dgGregatum. Z. NVam Per PrOP. 18, habCTUF T. ergOCE (per
PxOP. 47.)Z = TH.
57. Datis extremis (vel eorundem ratione de rectangulo,)
cum rectansulorum asBregatO; Z, H, Z; habetur communis
ratio. R. Nam Per PTOP. 48. HabETUT T; erBO _ R. Per
PFOD. 17.
58. Datis cerminominimo numero cerminorum, & raciono
communi; A, T, R; dacur rectangulorum aggresatum. Z0
lTaM DEEPC. F9. V = A R d. RrBO PETPC. 47. TV a = L
TA = R d. (per d incellige T = 1. 0)
59. Dacis termino minimo, numero terminorum, e re-
Ctangulorum aseceBatO; A, Y, Z; dacur racio communis.