# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851387705:0417 # Permalink to this reading: https://leibnizlegible.com/page/851387705:0417?run=74 # Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica (shelfmarks Leibn. Marg. 100:1/2, Stück 1; Leibn. Marg. 100:1/2) # Folio 397, page id 851387705:0417 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=417 # Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000417.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 55 lines, status machine # Lines: 55 recognised, mean confidence 0.81 # Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. # Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text. # Wording rule: say "the machine reads it as …", never "Leibniz wrote". # After the first blank line: the recognised lines in reading order, one per line. CropL. AIX. TNFFNETORUM. ROP. LXIX. Corollarium. Parabola rectis quortibet secetur (basi paralletis e agaiiter ab invi- Dcem remotis, portiones aeque altas abscinden- ribus,) crunt abscissae Parabolae (verticem inter C0 rectas secantes,) ut FV Z, 2V 2, 3Y 3, 4Y 4. Cc. vel ut Y +, Y 8, Y 27, V64, 5c. radices quadratica numerorum cubicorum. Spatia vero interjecta, ut earum radticum differentiae. Sunc enim bales (quippe Ordinatim applicatae in Parabola) in alcicudinum racione lubduplicata. e js e ee E1 SIS L1EIA NC sec ~BD R O. D: ~, F XEXC. 1. 5195I Corollariums. PTConoeides Parabolicum planis quoclibet secetur (basi paralletis, e aequali- ter ab itoicem remotis, portiones abscindentibus, aeque altas,) erunt, Cor noeidea sic abscissa lverticem inter e3 plana secantia) ut 2, 4, 9, 26, 9c. numeri quadrati: Ft portiones interjectaen ut 2y 3,5, 7, 10. Arichmetice- proportionales. (Et similiter in Pyramidoeide.) 31VC) C cranom oesi . t . sic 21533 si lcs1 3B C atim iaulain D it cs. . Nempe, uE de Prianculo dictum est Drox. S. J. tunc enim conocidium ableistorum bates in racione duplicata semidiamerorum, hoc est ordinatim applicatarum in Pa. rabola; et propcerea, alcicudinibus proporrionales. PROP. L XX L. Corollarium. CTcomplementum semipar abola rectis quorlibet secetur (complementi baso arat- lelis, Cd aequaliter ab invisem remotis, portiones abscindentibus aeque-altas. erunt complementa su abseisse (vertirem inter e rectas secantes.) ut 2, 8, 2). 64, 3c. numeri Cubici: Et portiones interjecta ut 2, 29, 29 37, Bc. numero- rum cubicorum disferentit. (. : L. 3 BIE A5 1 13) CLII HBAEDALALC. AIDEIS Nempe ut supta de Cono dietum elt, Prop. 68. sunc enim bases, Hoc eteu comple mencorum ordinarim applicatae, in alcitudiuum ratione cupicata. P RO P. LXXII. Corollarium. TConoeides etiam semiparabolue complemento daptatum, planis quotlibet secetur (basi paral- delis, e ab invicem aequaliter remotis, portiones abscindentibus aeque altas,) erunt abscissa conoei- dea (verticem inter (3 plana secantian) ut 1, 32 2437 2024, c. numeri supersolidi: et portio- nes interjectae, ut L, ZTGZY2, 78L, 80. numero rum supersolidorum differentiae. (Ft similiter in Prramidocide.) Ddd3 111 C s St siC iss s d