# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1815201908:0027 # Permalink to this reading: https://leibnizlegible.com/page/1815201908:0027?run=74 # Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1) # Folio - , page id 1815201908:0027 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=27 # Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000027.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 55 lines, status machine # Lines: 55 recognised, mean confidence 0.91 # 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. E L. I LY C H V S P A R S Y F R T I A. Demutua circulorum intersectione es contactu. N circulos se contincentes immittuntur linea à certo puncto, sie u interceptae à cir- culis sint aequales inter se, aut certae certis. pac. 199. pr. 56. 57. Annulo qui intercipitur a duobus circulis concentricis datur circulus aequalis. 200. prop. 58. Decirculi seementis similibus super lateribus trianculi descriptis, circum seripro circulo, ea aut contincente aut secante variae proprietates. 200. pr. 59. 60. 61. 62. 63. 64. Datis duobus circulis, punctum invenitur, per quod acta linea dividat circulos in simi- les paries. P ARS QV A R Y A. Delinearum in circulo potentia. 204. pr. 67. Ariis modis ducuntut ea in circulo, sic ot rectancula super linearum segmen- 205. pr. 68. 70. 71. 73.74. pac. 212. pr. 85. Item quadrata aGu Ccdnis, aut quadrata quadratis aequalia. 207. pr. 74. 75. pas. 208. pr. 77. pas. 209. pr. 80. pas. 213. pr. 86. Tiem rectancula aequalia certae ficurae. 205. pr. 69. pac. 208. pr. 76. Iem sie ducuntur linea et circuli super eis ue diametris descripti aequales sint 2ni certo. 209. pr. 78. Considerantur rationes quas habent certa rectancula ex quadrata inter se, aut deter- minatur quantum 2num excedat alterum. 209. pr. 79. p45. 210. pr. 81. 82. 83. 84. Pac. 113. pr. 87. Poly conanscripta circulo conferuntur cum quadrato semidiametri. 214. pr. 88. 89. Rectangula desienantur qua triplicatam habeant rationem ejus quam certa linea in- terse. 215 pr. 90. 91. 92. 93. In diametro circuli linea per puncta desionatur, suver qua ve basi si ad peripheriam con- stieuantur quavis transula, semper quadrata laterum quae non sunt bases simul sumpra aqualia sunt fucura inter se. Prolecomena ad sectiones coni. 216. pr. 94. Considerant u culti Mcunculorum scalenorum, qua sii ua s tis sint. aequalta. Efinitio coneinsque expositio, es quotuplex sit. 220 Variae es a consurationes circalineame Ati onscent pepeniculari- ter dimissam ad basim trianculi peraxem, cuius puncta incidentiae circellos in base In dato conoscaleno exhibel mnmues maximum irtaneulorum quae sectione per lem trianculum qudd lum t otan pet naeit. aulam hadent racionem, niscaleniper verticem es centrum basis. cont describere ostenduntur. 221. pr. 1. pa8. 2.23. PY. 30 222. Pr. 2. PaG. 224. pr. 4. 5.6. axem facta exsursere possunt. 228. pr. 7. 8. 230. pr. 9. Proprie- cum De axem. qua tamen matornon sit quam ed qus tet a ammum trianeu ooo122526+71O 2O 20 22 223334 252027