Viviani, Vincenzo, De maximis et minimis, geometrica divinatio : in qvintvm Conicorvm Apollonii Pergaei

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[61.] III.
Page: 57 (37)
[62.] IV.
Page: 57 (37)
[63.] V.
Page: 57 (37)
[64.] VI.
Page: 57 (37)
[65.] VII.
Page: 57 (37)
[66.] VIII.
Page: 58 (38)
[67.] IX.
Page: 58 (38)
[68.] THEOR. XI. PROP. XIX.
Page: 58 (38)
[69.] COROLL. I.
Page: 64 (40)
[70.] COROLL. II.
Page: 64 (40)
[71.] COROLL. III.
Page: 64 (40)
[72.] COROLL. IV.
Page: 65 (41)
[73.] COROLL. V.
Page: 65 (41)
[74.] COROLL. VI.
Page: 65 (41)
[75.] PROBL. VI. PROP. XX.
Page: 66 (42)
[76.] COROLL. I.
Page: 67 (43)
[77.] COROLL. II.
Page: 68 (44)
[78.] PROBL. VII. PROP. XXI.
Page: 68 (44)
[79.] MONITVM.
Page: 69 (45)
[80.] THEOR. XII. PROP. XXII.
Page: 70 (46)
[81.] PROBL. VIII. PROP. XXIII.
Page: 71 (47)
[82.] PROBL. IX. PROP. XXIV.
Page: 73 (49)
[83.] PROBL. X. PROP. XXV.
Page: 74 (50)
[84.] PROBL. XI. PROP. XXVI.
Page: 75 (51)
[85.] SCHOLIVM I.
Page: 76 (52)
[86.] SCHOLIVM II.
Page: 76 (52)
[87.] PROBL. XII. PROP. XXVII.
Page: 77 (53)
[88.] PROBL. XIII. PROP. XXVIII.
Page: 78 (54)
[89.] PROBL. XIV. PROP. XXIX.
Page: 80 (56)
[90.] PROBL. XV. PROP. XXX.
Page: 81 (57)
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Iam ſi iungantur AN, AO, AP, & c. quæ ſecent LO, MP, FG, & c. in 5, 6,
7, & c. incerceptæ N5, O6, P7, cadent totæ intra Parabolen AGC, hoc eſt
extra trilineum AGCB; & ſi ex punctis B, Q, R, K, & c. ducantur contin-
gentes BS, QT, RV, KX, & c. ipſæ æquidiſtabunt rectis CD, N5, O6, P7,
& c. (cum ductæ AC, AN, AO, AP, & c. ſint ordinatim ductæ 113. Co-
roll. 13. h. BC, QN, RO, KP, & c) ſicque circumſcribetur trilineo AHBCGA, figura
ex æquealtis parallelogrammis BD, S5, T6, V7, & c.
Ampliùs, ſi ipſæ ZQ, & R, IK, & c. producantur extra ſemi-Parabolen,
cadent totæ intra trilineum AEBH, atque ita inſcribetur ei figura ex paralle-
30[Figure 30] logrammis & c. Et ſi ex punctis Q, R, K, & c. ducantur contingentibus SB
TQ, VR, & c. æquidiſtantes, cadent totæ intra trilineum AHBCG, cum ſint
ordinatim ductæ, & ſi ex punctis N, O, P, & c. ducantur ad partes diametri
EBC rectæ æquidiſtantes ipſis AC, AN, AO, & c. (quæ erunt etiam paral-
lelæ contingentibus ex B, Q, R, & c. vel prædictis applicatis ex Q, R, K & c.)
cadent hæ@ quoq; intra trilineum AHBCG, nam quæ ex N ducitur ipſi AC
æquidiſtans ad partes diametri CB cadit extra Parabolen AGNC, cum ſit
AD maior DC, & quæ ex O ęquidiſtat ipſi AN cadit extra AGC, cum ſit AS
maior 5N, & ſic de reliquis. Itaq; hac operatione inſcribetur trilineo AH-
BCG figura ex parallelogrãmis æquealtis, & c. Quare ex his, & ex 14.

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