Clavius, Christoph, In Sphaeram Ioannis de Sacro Bosco commentarius

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[111.] Omnes ſtellæ 12. Tertiæ magnit. 2. Quartæ 6. Quintæ 4.
[112.] IN PLAGA ERGO AVSTRALI STELLÆ omnes 316. Primæ magnitud. 7. Secundæ 18. Tertiæ 60. Quar-tæ 168. Quintæ 53. Sextæ 9. Neb. 1. IN TOTO AVTEM FIRMAMENTO STELLÆ omnes, præter tres in cincinno. 1022. vt ſupra dictum eſt.
[113.] VSVS PRÆCEDENTIS TABVLAE.
[114.] DE STELLARVM DECLINATIONIBVS inueſtigandis.
[115.] DE QVANTITATE STELLARVM.
[116.] Proportiones diametrorum ſtellarum omnium ad diametrum terræ.
[117.] Quoties diameter cuiuſuis ſtellæ diametrum terræ, uel diameter terræ diametrum ſtellæ in ſe contineat.
[118.] Proportiones magnitudinum ftellarum omnium ad magnitudinem terrę.
[119.] Quoties magnitudo cuiuſuis ſtellæ magnitudinem terræ, uel magnitu-do terrę magnitudinem ſtellæ in ſe contineat.
[120.] TERRAM ESSE IMMOBILEM.
[121.] COMMENTARIVS.
[122.] COMMENTARIVS.
[123.] DE AMBITV TERRAE.
[124.] COMMENTARIVS.
[125.] COMMENTARIVS.
[126.] VIÆ AD INVESTIGANDVM AMBITVM TERRÆ commodiores, quàm ea, quæ ab auctore tradita eſt.
[127.] COMMENTARIVS.
[128.] REGVLA, QVA DI AMETER EX CIRCVNFE-rentia, & circumferentia ex diametro inueniatur.
[129.] REGVLAE, QVIBVSET SVPERFICIES MA-ximi circuli in orbe terreno, uel etiam in quacunque ſphæra, & ſuperficies conuexa eiuſdem orbis terreni, uel etiam cuiuſque ſpære, immo, & tota ſoliditas inueniatur.
[130.] DE VARIIS MENSVRIS Mathematicorum.
[131.] VARIÆ SENTENTIÆ AVCTORVM in ambitu terræ præfiniendo.
[132.] DISTANTIÆ COELORVM A TERRA, craſſitudinesq́ue, & Ambitus eorundem.
[133.] DIGRESSIO DE ARENAE NVMERO.
[134.] PRIMI CAPITIS FINIS.
[135.] CAPVT SECVNDVM DE CIRCVLIS, EX QVIBVS SPHAERA materialis componitur, & illa ſupercæleſtis, quæ per iſtam repræſentatur, componi intelligitur.
[136.] COMMENTARIVS.
[138.] II.
[139.] III.
[140.] IIII.
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11982Comment. in I. Cap. Sphæræ
III.
Centrvm figuræregularis dicitur punctum illud, quod centrum
eſt circuli figuræi@ſcripti, uel circumſcripti.
IIII.
Area cuiuslibet figuræ dicitur capacitas, ſpatium, ſiue ſuperficies in-
tra lateraipſius comprehenſa.
V.
Omne ſolidum rectangulum (cuius nimirum baſes æquidiſtantes
ſunt, &
æquales, latera{q́ue} ad baſes recta, quale eſt Parallelepipedum) con-
tineri dicitur ſub altera baſium, ac perpendiculari ab illa baſi ad alteram
protracta.
Qvia nimirum altarutra baſium indicat longitudinem, ac Iatitudinem fi-
guræ, perpendicularis vero altitudinem, ſiue profonditatẽ eiuſdẽ demonſtrat.
THEOR. 1. PROPOS. 1.
ARea cuiuslibet trianguli æqualis eſt rectangulo comprehen-
11Triangulũ
quodcun q;
eui rectan-
gulo ęqua-
@ ſit.
ſo ſub perpendiculari à uertice ad baſim protracta, &
dimidia
partes baſis.
Sit triangulum A B C, ex cuius uertice A, ad baſim B C, ducatur per-
19[Figure 19] pendicularis A D, diuidatq́ue primò baſim B C, bifariam, ut in prima figura.
Per A, ducatur E A F, in utramque partem æquidiſtans rectæ B C,

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