Theodosius <Bithynius>; Clavius, Christoph - Theodosii Tripolitae Sphaericorum libri tres

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200188

LINAE TANGENTES,
atque Secantes.

QVANQVAM Aſtronomi omnia
ſua problemata, atque theoremata per ſolos ſi-
nus explicare poßint, vt communiter ab omni-
bus fieri ſolet, quia tamen multa facilius, ac bre-
uius expediuntur, ſi vnà cum ſinubus lineætan-
gentes, ſecantesque adhibeantur, vt ex doctri-
na triangulorum erit manifestum; quas qui-
demlineas vtili ſane conſilio Recentiores exco-
gitarunt, atque in tabulas redegerunt: viſum
est has etiam lineas paucis exponere, vt doctri-
na noſtrorum triangulorum perfectior euadat.
Vniuerſa ſiquidem triangulorum doctrina in
11Doctrina
triangulo -
rũ in quo
conſiſtat. tribus hiſce line arum generibus, nempe in ſinu-
bus, lineis tangentibus, & ſecantibus, potißi-
mum conſiſtere videtur. Primum autem expli-
candum eſt, quid ſit linea tangens, & quid ſe-
cans propoſiti cuiuſuis arcus.

CVm ergoab altero extremo cuius libet arcus, qui quadrante minor ſit, ſemi-
22Linea tan-
gens, & ſe-
cans quid. diameter ducta fuerit, in cuius extremitate recta linea circulum tangat, & per
alierum extremum eiuſdem arcus extendatur alia recta linea ex centro ad tangen-
tem lineam vſque: appellatur portio lineæ tangentis inter duas rectas è centro egre-
dientes, Linea tangens illius arcus, quem eædẽ duæ rectæ e centro eductæ includunt:
Recta vero altera puncto contactus oppoſita inter centrum, & lineam tangentem, di-
citur Linea ſecans eiuſdem arcus. Vt ſi in circulo AB, cuius centrum C, ſumatur ar-
cus AB, quadrante minor, & in extremitate ſemidiametri Ac, ab extremitate

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Scan	Original
91	79
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95	83
96	84
97	85
98	86
99	87
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103	91
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105	93
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107	95
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120	108

Scan	Original
91	79
92	80
93	81
94	82
95	83
96	84
97	85
98	86
99	87
100	88
101	89
102	90
103	91
104	92
105	93
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107	95
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109
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