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

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[111.] THEOR. XXIII. PROP. XXXXIV.
[112.] COROLL.
[113.] Quod ſuperiùs promiſimus oſtendetur ſic.
[114.] THEOR. XXIV. PROP. XXXXV.
[115.] COROLL.
[116.] LEMMA VI. PROP. XXXXVI.
[117.] THEOR. XXV. PROP. XXXXVII.
[118.] ALITER.
[119.] COROLL. I.
[120.] COROLL. II.
[121.] THEOR. XXVI. PROP. XXXXVIII.
[122.] MONITVM.
[123.] THEOR. XXVII. PROP. XXXXIX.
[124.] THEOR. XXVIII. PROP. L.
[125.] COROLL.
[126.] PROBL. XVII. PROP. LI.
[127.] PROBL. XVIII. PROP. LII.
[128.] ALITER.
[129.] ALITER breuiùs.
[130.] PROBL. XIX. PROP. LIII.
[131.] ALITER.
[132.] ALITER breuiùs.
[133.] PROBL. XX. PROP. LIV.
[134.] ALITER breuiùs.
[135.] PROBL. XXI. PROP. LV.
[136.] PROBL. XXII. PROP. LVI.
[137.] COROLL. I.
[138.] COROLL. II.
[139.] PROBL. XXIII. PROP. LVII.
[140.] COROLL.
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22644 NVM ACVMINATVM REGVLARE, vel potius (breuitatis cauſa)
ACVMINATVM, cuius terminus B vocetur VERTEX;
& æquidiſtan-
tes A C, E F, G H, &
c. quæ à B D bifariam diuiduntur, dicantur AP-
PLICAT Æ ad ipſam B D, qnæ vocetur DIAMETER, vel AXIS quan-
do ipſa perpendiculariter ſecet eaſdem applicatas.
A C verò dicatur BA-
SIS ACVMINATI;
& B I, quæ à vertice ſuper baſim ducitur perpen-
dicularis, ACVMINATI ALTITVDO nuncupetur.
II.
PLANA ACVMINATA REGVLARIA PROPORTIONALIA, vel
tantùm ACVMINATA PROPORTIONALIA dicantur illa, quorum
omnes applicatæ à punctis eorum diametros proportionaliter diuidenti-
bus, ſint quoque inter ſe proportionales.
Sint nempe duo Acu-
189[Figure 189] minata Regularia ABC,
E F G, ſuper baſes A C,
E G, qualia in præce-
denti definitione expli-
cauimus, quorum dia-
metri B D, F H propor-
tionaliter ſectæ ſint in
quotcunque punctis I,
M;
L, N, & c. ſiue ſit B I
ad I D, vt F M ad M H,
&
B L ad L D, vt F N
ad N H, &
c. atque m
punctis inter ſectionum
applicatæ ſint O P, QR;
S T, V X, quę ex homo-
logis punctis ſint ad inuicem proportionales, hoc eſt vt A C ad E G, ita
O P ad S T, &
Q R ad V X, & c. huiuſmodi figuræ vocentur PLANA
ACVMINATA REGVLARIA PROPORTIONALIA, veltantùm ACV-
MINATA PROPORTIONALIA.

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