1erunt vna omnino recta, quod vbi eſſet, vt cum b a peruenit ad b
l, tunc lationes b ad l, & b ad d eſſent ad contrarios omnino
terminos.
l, tunc lationes b ad l, & b ad d eſſent ad contrarios omnino
terminos.
Latus verò vno.] Breuiter cauſam attingit ſecundi problema
tis, quod in motu à nullo impeditum æquum eſt celerius moueri: quam
quod impeditur. Latus autem in dicto Rhombo à nullo impeditur:
contra b impeditur. Ergo l b latus celerius feretur ipſo b.
tis, quod in motu à nullo impeditum æquum eſt celerius moueri: quam
quod impeditur. Latus autem in dicto Rhombo à nullo impeditur:
contra b impeditur. Ergo l b latus celerius feretur ipſo b.
Æquum eſt igitur.] Id nuſquam in hoc problemate demon
ſtratum eſt, poteſt etiam falſum eſſe. Cæterum ex hoc problemate
collige, quod etiam Leonicus annotauit, quantum corporum confor
mationes & figurarum in illis varietas peculiares illorum inclina
tiones, naturaleſque motus aut adiuuent, aut contra inſigniter impe
diant. Conglobata etenim exempli gratia plumbi maſſa, ſi naturæ
relinquatur ſuæ, rectà citius deorſum fertur: quam ſi eadem pondere
ſeruato extenſa fuerit in laminam: immò rurſus inflexa & inſtar
carinæ conformata fluitabit in aquis. In rebus etiam artificialibus
gladius acuta ſui acie facile ſecat: obtuſa non item. Hæc cum ita
ſint nemini abſurdum videri debet, duo puncta duabus motionibus
æquali celeritate mota non æquale pertranſire ſpatium: ſed muſtò
plus maiuſque illorum alterum, vt ex Rhombi natura certò demon
ſtratum eſt.
ſtratum eſt, poteſt etiam falſum eſſe. Cæterum ex hoc problemate
collige, quod etiam Leonicus annotauit, quantum corporum confor
mationes & figurarum in illis varietas peculiares illorum inclina
tiones, naturaleſque motus aut adiuuent, aut contra inſigniter impe
diant. Conglobata etenim exempli gratia plumbi maſſa, ſi naturæ
relinquatur ſuæ, rectà citius deorſum fertur: quam ſi eadem pondere
ſeruato extenſa fuerit in laminam: immò rurſus inflexa & inſtar
carinæ conformata fluitabit in aquis. In rebus etiam artificialibus
gladius acuta ſui acie facile ſecat: obtuſa non item. Hæc cum ita
ſint nemini abſurdum videri debet, duo puncta duabus motionibus
æquali celeritate mota non æquale pertranſire ſpatium: ſed muſtò
plus maiuſque illorum alterum, vt ex Rhombi natura certò demon
ſtratum eſt.
25. *dia\ ti/ o( mei/zwn ku/klos
tw=| e)la/ttoni i)/shn e)celi/tte
tai.
tw=| e)la/ttoni i)/shn e)celi/tte
tai.
25. Cur maior circulus cum
minore per æqualem re
uoluitur.
minore per æqualem re
uoluitur.
*)aporei=tai dia\ ti/ pote o( mei/zwn ku/klos tw=| e)la/ttoni
ku/klw| i)/shn e)celi/ttetai grammh/n, o(/tan peri\ to\ au)to\ ke/ntron
teqw=si. xwri\s de\ e)kkulio/menoi, w(/sper to\ me/geqos au)tw=n
pro\s to\ me/geqos e)/xei, ou(/tws kai\ ai( grammai\ au)tw=n
gi/nontai pro\s a)llh/las. e)/ti de\ e(no\s kai\ tou= au)tou= ke/ntrou
o)/ntos a)mfoi=n, o(te\ me\n thlikau/th gi/netai h( grammh\, h(\n
e)kkuli/ontai, h(li/khn o( e)la/ttwn ku/klos kaq' au(to\n e)kkuli/etai,
o(te\ de\ o(/shn o( mei/zwn. o(/ti me\n ou)=n mei/zw e)kkuli/etai
o( mei/zwn, fanero/n. gwni/a me\n ga\r dokei= kata\ th\n
ai)/sqhsin ei)=nai h( perife/reia e(ka/stou th=s oi)kei/as diame/trou,
h( tou= mei/zonos ku/klou mei/zwn, h( de\ tou= e)la/ttonos, e)la/ttwn
w(/ste to\n au)to\n tou=ton e(/cousi lo/gon, kaq' a(\s e)cekuli/sqhsan
ai( grammai\ pro\s a)llh/las kata\ th\n ai)/sqhsin. a)lla\ mh\n
kai\ o(/ti th\n i)/shn e)kkuli/ontai, o(/tan peri\ to\ au)to\ ke/ntron
kei/menoi w)=si, dh=lon, kai\ ou(/tws gi/netai, o(te\ me\n i)/sh th=|
grammh=|, h(\n o( mei/zwn ku/klos e)kkuli/etai, o(te\ de\ e)la/ttwn.
e)/stw ga\r ku/klos o( mei/zwn me\n, e)f' ou(= ta\ *d*z*g, o( de\
e)la/ttwn e)f' ou(= ta\ *e*h*b: ke/ntron de\ a)mfoi=n to\ *a, kai\
h(\n me\n e)celi/ttetai kaq' au(to\n o( me/gas, h( e)f' h(=s *z*l e)/stw.
h(\n de\ o( e)la/ttwn kaq' au(to/n, h( e)f' h(=s *h*k, i)/sh th=| *a*z.
e)a\n dh\ kinw= to\n e)la/ttona, to\ au)to\ ke/ntron kinw=, e)f' ou(=
to\ *a. o( de\ me/gas proshrmo/sqw. o(/tan ou)=n h( *a*b o)rqh\ ge/nhtai
pro\s th\n *h*k, a(/ma kai\ h( *a*g gi/netai o)rqh\ pro\s th\n
*z*l: w(/ste e)/stai i)/shn a)ei\ dielhluqui=a: th\n me\n *h*k, e)f'
w(=| *h*b perife/reia, th\n de\ *z*l, h( e)f' h(=s *z*g. ei) de\ to\
te/tarton me/ros i)/shn e)celi/ttetai, dh=lon o(/ti kai\ o( o(/los ku/klos
tw=| o(/lw| ku/klw| i)/shn e)celittetai, w(/ste o(/tan h( *b*h
grammh\ e)/lqh| e)pi\ to\ *k, kai\ h( *z*g e)/stai perife/reia e)pi\
th=s *z*l, kai\ o( ku/klos o(/los e)ceiligme/nos. o(moi/ws de\ kai\
e)a\n to\n me/gan kinw=, e)narmo/sas to\n mikro/n, tou= au)tou= ke/ntrou
o)/ntos, a(/ma th=| *a*g, h( *a*b ka/qetos kai\ o)rqh\ e)/stai, h(
me\n pro\s th\n *z*i, h( de\ pro\s th\n *h*q. w(/ste o(/tan kat' i)/shn, h(
me\n th=| *h*q e)/stai dielhluqui=a, h( de\ th=| *z*i, kai\ ge/nhtai
o)rqh\ pa/lin h( *a*g pro\s th\n *z*i, kai\ h( *a*b o)rqh\ pa/lin, pro\s th\n
*h*q w(s to\ e)c a)rxh=s e)/sontai e)pi\ tw=n *q*i. to\ de\ mh/te sta/sews
ginome/nhs tou= mei=zonos tw=| e)la/ttoni, w(/ste me/nein tina\ xro/non
e)pi\ tou= au)tou= shmei/ou: kinou=ntai ga\r sunexw=s a)/mfw a)mfotera/kis.
mh/ te u(perphdw=ntos tou= e)la/ttonos mhqe\n shmei=on,
to\n me\n mei/zw tw=| e)la/ttoni i)/shn diecie/nai, to\n de\ tw=| mei/zoni,
a)/topon.
ku/klw| i)/shn e)celi/ttetai grammh/n, o(/tan peri\ to\ au)to\ ke/ntron
teqw=si. xwri\s de\ e)kkulio/menoi, w(/sper to\ me/geqos au)tw=n
pro\s to\ me/geqos e)/xei, ou(/tws kai\ ai( grammai\ au)tw=n
gi/nontai pro\s a)llh/las. e)/ti de\ e(no\s kai\ tou= au)tou= ke/ntrou
o)/ntos a)mfoi=n, o(te\ me\n thlikau/th gi/netai h( grammh\, h(\n
e)kkuli/ontai, h(li/khn o( e)la/ttwn ku/klos kaq' au(to\n e)kkuli/etai,
o(te\ de\ o(/shn o( mei/zwn. o(/ti me\n ou)=n mei/zw e)kkuli/etai
o( mei/zwn, fanero/n. gwni/a me\n ga\r dokei= kata\ th\n
ai)/sqhsin ei)=nai h( perife/reia e(ka/stou th=s oi)kei/as diame/trou,
h( tou= mei/zonos ku/klou mei/zwn, h( de\ tou= e)la/ttonos, e)la/ttwn
w(/ste to\n au)to\n tou=ton e(/cousi lo/gon, kaq' a(\s e)cekuli/sqhsan
ai( grammai\ pro\s a)llh/las kata\ th\n ai)/sqhsin. a)lla\ mh\n
kai\ o(/ti th\n i)/shn e)kkuli/ontai, o(/tan peri\ to\ au)to\ ke/ntron
kei/menoi w)=si, dh=lon, kai\ ou(/tws gi/netai, o(te\ me\n i)/sh th=|
grammh=|, h(\n o( mei/zwn ku/klos e)kkuli/etai, o(te\ de\ e)la/ttwn.
e)/stw ga\r ku/klos o( mei/zwn me\n, e)f' ou(= ta\ *d*z*g, o( de\
e)la/ttwn e)f' ou(= ta\ *e*h*b: ke/ntron de\ a)mfoi=n to\ *a, kai\
h(\n me\n e)celi/ttetai kaq' au(to\n o( me/gas, h( e)f' h(=s *z*l e)/stw.
h(\n de\ o( e)la/ttwn kaq' au(to/n, h( e)f' h(=s *h*k, i)/sh th=| *a*z.
e)a\n dh\ kinw= to\n e)la/ttona, to\ au)to\ ke/ntron kinw=, e)f' ou(=
to\ *a. o( de\ me/gas proshrmo/sqw. o(/tan ou)=n h( *a*b o)rqh\ ge/nhtai
pro\s th\n *h*k, a(/ma kai\ h( *a*g gi/netai o)rqh\ pro\s th\n
*z*l: w(/ste e)/stai i)/shn a)ei\ dielhluqui=a: th\n me\n *h*k, e)f'
w(=| *h*b perife/reia, th\n de\ *z*l, h( e)f' h(=s *z*g. ei) de\ to\
te/tarton me/ros i)/shn e)celi/ttetai, dh=lon o(/ti kai\ o( o(/los ku/klos
tw=| o(/lw| ku/klw| i)/shn e)celittetai, w(/ste o(/tan h( *b*h
grammh\ e)/lqh| e)pi\ to\ *k, kai\ h( *z*g e)/stai perife/reia e)pi\
th=s *z*l, kai\ o( ku/klos o(/los e)ceiligme/nos. o(moi/ws de\ kai\
e)a\n to\n me/gan kinw=, e)narmo/sas to\n mikro/n, tou= au)tou= ke/ntrou
o)/ntos, a(/ma th=| *a*g, h( *a*b ka/qetos kai\ o)rqh\ e)/stai, h(
me\n pro\s th\n *z*i, h( de\ pro\s th\n *h*q. w(/ste o(/tan kat' i)/shn, h(
me\n th=| *h*q e)/stai dielhluqui=a, h( de\ th=| *z*i, kai\ ge/nhtai
o)rqh\ pa/lin h( *a*g pro\s th\n *z*i, kai\ h( *a*b o)rqh\ pa/lin, pro\s th\n
*h*q w(s to\ e)c a)rxh=s e)/sontai e)pi\ tw=n *q*i. to\ de\ mh/te sta/sews
ginome/nhs tou= mei=zonos tw=| e)la/ttoni, w(/ste me/nein tina\ xro/non
e)pi\ tou= au)tou= shmei/ou: kinou=ntai ga\r sunexw=s a)/mfw a)mfotera/kis.
mh/ te u(perphdw=ntos tou= e)la/ttonos mhqe\n shmei=on,
to\n me\n mei/zw tw=| e)la/ttoni i)/shn diecie/nai, to\n de\ tw=| mei/zoni,
a)/topon.
Dubium eſt cur maior cir
culus æqualem minori circu
lo orbitam volutione pera
gret, quando circa idem centrum
poſitus eſt: At cum ſeorſum
voluuntur, vt horum magni
tudines ſe habent inter ſe, ita
etiam eorum orbitæ. Præterea
vno & eodem exiſtente cen
tro, aliquando quidem tan
culus æqualem minori circu
lo orbitam volutione pera
gret, quando circa idem centrum
poſitus eſt: At cum ſeorſum
voluuntur, vt horum magni
tudines ſe habent inter ſe, ita
etiam eorum orbitæ. Præterea
vno & eodem exiſtente cen
tro, aliquando quidem tan
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