noné defatigat, &longs;i maximè res ad minimas <lb/>
A&longs;tronomicas fractiones deducta exigat par<lb/>
tis proportionalis inqui&longs;itionem. </s></p>

<p type="main"> <s><emph type="italics"/>Guld.<emph.end type="italics"/></s><s> Satis e&longs;t, &longs;i peritis Geometris hac <lb/>
in re fiat &longs;atis. </s> <s>Verùm adhuc ab&longs;que Cano<lb/>
<arrow.to.target n="note33"/><lb/>
ne Trigonometrico res tota perfici po&longs;&longs;et, <lb/>
&longs;ed non &longs;ine Algebrâ. </s> <s>Habeatur enim qua<lb/>
dratum Geometricum <emph type="italics"/>S<emph.end type="italics"/>H; <lb/>
vel etiam &longs;it rectangulum, <lb/>
<figure id="id.018.01.075.1.jpg" xlink:href="casat_terra_018_la_1658/018-01-figures/018.01.075.1.jpg"/><lb/>
cuius latus AS maius &longs;it late<lb/>
re AH, id quod aliquando <lb/>
commodius accidet. </s> <s>Obuer<lb/>
tatur latus AH ita, vt con<lb/>
gruat radio optico terra&mtail; <lb/>
tangenti AD, in &longs;uperior&etail; <lb/>
figurâ: eritque triangulum <lb/>
ABE &longs;imile triangulo OAS: Nam anguli <lb/>
SAH & BEA &longs;unt recti, ac proinde lineæ <lb/>
SA, BE parallelæ, intrà quas anguli alterni <lb/>
SAO, EBA &longs;unt æquales; &longs;icut & alterni <lb/>
EAB, SOA, intra parallelas SO, AE. </s> <s>Igi<lb/>
tur vt OA ad AS, ita AB ad BE: &longs;ed vt AB <lb/>
ad BE, ita in &longs;uperiore figurâ AC ad CD; <lb/>
ergo vt OA ad AS, ita AC ad CD. </s> <s>Quare <lb/>
&longs;i latus AS Quadrati vel rectanguli notum &longs;it <lb/>
in particulis quibuslibet, facilè innote&longs;cet, <lb/>
quot huiu&longs;modi particulas contineat AO. </s> <s><lb/>
Cum verò altitudo AB nota &longs;it ex. gr. ped.