322304GVL. PHIL. ANNOT.
hanc Archytæ traditionem poſſe fieri.
Statuam igitur ad
libellam planitiem, deſcriptis in ea, circulo. b. c. d. f. ſu-
per centrũ, q, triangulo, b, c, g. linea, c, d. ac dimetiente, b,
c, quæ oĩa propoſui in plano deſcribi oportere. Inſuper
a ſigno, c, linea, c, h, quæ ſit æqualis, b, q, & congruat ſemi
circulo, b, c, d, his inquam ſic diſpoſitis, construam hemi-
cylindrum, cuius axis non ſit minor, b, g, Baſis verò ſit
ſemicirculus, b, c, d, & huic ſemicirculo bemic ylindrũ im-
ponam, at a ſi gno, h, quod erit in circũferentia ſemicir-
culi, per hemicylindri conuexũ erigam lineã quæ ad ſub-
iectum planũ, perpendicularis ſit, & æqualis, c, h, hoc est,
b, q, & ſit ca, h, s. tum ab. s. ſigno ad ſigna, b, & , c, extre-
ma dimetiẽtis circuli admota per bemicylindri cõuexuve
luti leſbia aliqua regula, vel pro ea, linea, hoc ẽ filo tenui,
deducta, deſcribam per id conuexũ, cylindricam lineam
quæ ſit, b, s, c. rur ſus in eo latere par allelo grammi he-
micylindri, cuius alterũ extremum inſidet ſigno, b, ab eo-
dem ſigno ad altitudinem, b, g, ſignabo ſigno, g, & ab hoc
ad, d, ſignum in plano poſitũ per conuexam ſuperficiem
hemicylindri, ducam lineam cylindricæ ſimilem, quæ cy-
lindricam, b, s, c, ſecabit in aliquo ſigno, & ſecet in ſigno
K, a quo in circuferentiam ſemicirculi b, c, d. lineæ verò
b, s, deducam par allelũ quæ ſit K, n, & connectam ſi gna,
n, & c, recta, c, n, & ponam, n, K, in plano coniunctam, c,
n, ad angulos rectos & perficiam triangulũ, c, n, K, ducta
linea, c, K, & aſſeram per præcedẽtem Archytæ ratioci-
nationẽ eſſe ſicut, b, c, ad c, K. ita c, K. ad c, n, & ſic, c, n.
ad c, d, quod oportebat inucnire.
libellam planitiem, deſcriptis in ea, circulo. b. c. d. f. ſu-
per centrũ, q, triangulo, b, c, g. linea, c, d. ac dimetiente, b,
c, quæ oĩa propoſui in plano deſcribi oportere. Inſuper
a ſigno, c, linea, c, h, quæ ſit æqualis, b, q, & congruat ſemi
circulo, b, c, d, his inquam ſic diſpoſitis, construam hemi-
cylindrum, cuius axis non ſit minor, b, g, Baſis verò ſit
ſemicirculus, b, c, d, & huic ſemicirculo bemic ylindrũ im-
ponam, at a ſi gno, h, quod erit in circũferentia ſemicir-
culi, per hemicylindri conuexũ erigam lineã quæ ad ſub-
iectum planũ, perpendicularis ſit, & æqualis, c, h, hoc est,
b, q, & ſit ca, h, s. tum ab. s. ſigno ad ſigna, b, & , c, extre-
ma dimetiẽtis circuli admota per bemicylindri cõuexuve
luti leſbia aliqua regula, vel pro ea, linea, hoc ẽ filo tenui,
deducta, deſcribam per id conuexũ, cylindricam lineam
quæ ſit, b, s, c. rur ſus in eo latere par allelo grammi he-
micylindri, cuius alterũ extremum inſidet ſigno, b, ab eo-
dem ſigno ad altitudinem, b, g, ſignabo ſigno, g, & ab hoc
ad, d, ſignum in plano poſitũ per conuexam ſuperficiem
hemicylindri, ducam lineam cylindricæ ſimilem, quæ cy-
lindricam, b, s, c, ſecabit in aliquo ſigno, & ſecet in ſigno
K, a quo in circuferentiam ſemicirculi b, c, d. lineæ verò
b, s, deducam par allelũ quæ ſit K, n, & connectam ſi gna,
n, & c, recta, c, n, & ponam, n, K, in plano coniunctam, c,
n, ad angulos rectos & perficiam triangulũ, c, n, K, ducta
linea, c, K, & aſſeram per præcedẽtem Archytæ ratioci-
nationẽ eſſe ſicut, b, c, ad c, K. ita c, K. ad c, n, & ſic, c, n.
ad c, d, quod oportebat inucnire.