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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
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AE A X F R I A R V M.
Datis duobus excessibus trium maenicudinum continue proporcionalium exhibentur rres
continua.
Pas. 79. pr. 40.
E. quationes rectan sulorum aut quadratorum ortorum ex sermentis linea in proporiio-
nales quoruis continuas divisae. 81. pr. 42. 43. 44. 45. 46. pas 89. pr. 63, 04. 65. 66.
A. qualitas rectanculorum ortorum ex sermentis duarum linearum, quarum sinculae in
quotuis continue proportionales sint diuisa.
82. pr. 47. 48. 48.50.
Continuatio rectanculorum aut quadratorum in eadem proportione, ortorum ex varia
dispositione aut dius sione linearum in parces proportionales continuas, aut discretas.
84 pr. 51. 52.53.54.55.56.57.58.59.
Proporconalia rectancula orea ex lineis proportionalibus.
De duplicaris, es emiplicaris rationibus, quas habent rectangula ex varia divisione li-
nearum inparces proportionales.
87. pr. 60. 61.2.
Plana quaevis proporcionalia, super duabus rectis eadem ratione diuisis, it a constitura vt
pland inter se sint similia.
Friancula ex trapezia quorcumq: semper proportionalia continue.
Friancula tria ad circulum constituta quae eandem rationem continuent. 9+. pr. 73.
Friansula ad duos circulos constituta quae reciprocam habeant rationem. 94. pr. 74.
P A R S S F C V N B A
Terminum prorressionis in infinitum continuata assienat.
DRoporciones speltances ad cerminum procressionis inveniendum. 95. pr. 75. 76. 77.
LPrima 10. Encl. niversaliter proposita ex demonstrata.
96. pr. 78.
Ostenditur maenicudinem assienari posse, quae aequalis sut toei seriei proporcionalium in
infinitum continuatae: imo es maenitudo ea assenatur.
97. pr. 79.
Terminus cuiusque procressionis in infinicum continuara diuersimode assienatur. 98.
pr. 80. 81. pas. 100. pr. 85. 86. 87.
Respondetur ad argumentum Z enonis quod ipse in materia de continuo Achyllem vo
cat.
101. pr. 87. in Schol.
Proprietates iucundae seriei continue proporiionalium in infinitum producta. 99. pr. 82.
83. 84. pas. 103. pr. 88. 89.
Problemata circa divisionem datae magnicudinis, aut magnicudinum in certa ratione,
sic vt cerrus habeatur terminus datae rationis.
103. pr. 90. 91. 93.94.95,96.
Duae series infinitarum proportionalium sunt inter se vt duo primi termini. 106. pr. 97.
Comparationes variarum serierum infinitarum proportionalium inter se. 107. pr. 98.
99. 100, 101. 102. 103. pac. 119. pr. 116. 117. 118.
Comparationes variarum serierum orearum ex rationibus similibus quae sunt inter al-
ternatim positos terminos. 1II. pr. 106. 107. 108. 109. 110. 11I. 112. 113. 114. 115.
Diversae continuationes rationum quae sunt inter quantitares, per quas ad maenitud-
nem data minorem, auc dati maiorem deveniatur.
 121. pr. 119. 120, 121. 122.
A RS. YL K L1A
Proctsaas planis apat aseri to.
Va de rationibus maenicudinum in infinitum continuatis duta, pecullariter ra-
Ctionibus superficieru sic continuatis applicatur. 125. pr. 123. 124. 125. 126. 127.
Fot
86. pr. 57.
91. Pr. 69.
Supr. 71. 720