231 ꝓportiõi quã in eodē tꝑe acq̇rit poña, mīorē tñ ̄
reſiſtētia ↄ̨tinuo velociꝰ creſcēs / vt pꝫ aſpiciēti. Qui
bus īſpectis facile ptꝫ correlariū. 113. correĺ. ¶ Seq̇t̄̄ tertio /
creſcētibꝰ a nõ gradu reſiſtētia alicuiꝰ paſſi et ponã
alterãtis ip̄m īcipiēdo ī eodē īſtãti: reſiſtētia ↄ̨tinuo
tardius et tardiꝰ, et cõtinuo tardiꝰ ꝙ̄ ponã data cõ
tinuo vniformiṫ creſcēs: ip̄m alterãs ↄ̨tinuo intēdit
motū ſuū. Probat̄̄ hoc correlariū ſicut ṗmū.
reſiſtētia ↄ̨tinuo velociꝰ creſcēs / vt pꝫ aſpiciēti. Qui
bus īſpectis facile ptꝫ correlariū. 113. correĺ. ¶ Seq̇t̄̄ tertio /
creſcētibꝰ a nõ gradu reſiſtētia alicuiꝰ paſſi et ponã
alterãtis ip̄m īcipiēdo ī eodē īſtãti: reſiſtētia ↄ̨tinuo
tardius et tardiꝰ, et cõtinuo tardiꝰ ꝙ̄ ponã data cõ
tinuo vniformiṫ creſcēs: ip̄m alterãs ↄ̨tinuo intēdit
motū ſuū. Probat̄̄ hoc correlariū ſicut ṗmū.
Decima ↄ̨̨cluſio
Creſcētibꝰ a nõ gra-
du reſiſtētia alicuiꝰ paſſi et ponã alterãtis ip̄m inci
piēdo ī eodē inſtãti et ponã et reſiſtētia ↄ̨tinuo velo-
cius et velociꝰ creſcētibꝰ: aut vtra ↄ̨tinuo creſcēte
tardius et tardiꝰ: ſtat alterãs ↄ̨tinuo vniformiter al
terare: ſtat etiã ip̄m ↄ̨tinuo velociꝰ et velociꝰ altera-
re: ſtat ſiĺr ip̄3 alterare cõtinuo tardiꝰ et tardiꝰ: ſtat
etiã etc̈. miſceas mēbra. Ptꝫ ↄ̨° facile. ¶ Inferas tua
induſtria concluſioues his ſiĺes a certis gradibus
ponã et reſiſtentia creſcere incipientibus.
du reſiſtētia alicuiꝰ paſſi et ponã alterãtis ip̄m inci
piēdo ī eodē inſtãti et ponã et reſiſtētia ↄ̨tinuo velo-
cius et velociꝰ creſcētibꝰ: aut vtra ↄ̨tinuo creſcēte
tardius et tardiꝰ: ſtat alterãs ↄ̨tinuo vniformiter al
terare: ſtat etiã ip̄m ↄ̨tinuo velociꝰ et velociꝰ altera-
re: ſtat ſiĺr ip̄3 alterare cõtinuo tardiꝰ et tardiꝰ: ſtat
etiã etc̈. miſceas mēbra. Ptꝫ ↄ̨° facile. ¶ Inferas tua
induſtria concluſioues his ſiĺes a certis gradibus
ponã et reſiſtentia creſcere incipientibus.
Undecima cõcluſio materiã ſexti ar-
gumēti tangēs. Diuiſa hora ꝑ partes ꝓportiona-
les ꝓportiõe ſexq̇altera ↄ̨ſtitutiſ tribꝰ ordinibꝰ
ꝑtiū ꝓportionaliū īterſcalariṫ ſe hñtiū ꝑ ṗmo ordīe
capiēdo ṗmã .4.7.10. / et ſic ↄ̨ñr omiſſis ↄ̨tinuo dua-
bus ꝑ 2° o capiēdo ſcḋam .5.8.11. / et ſic ↄ̨ñter omiſ
ſis duabꝰ: ꝓ tertio o capiēdo tertiã .6.9.12. / et ſic
ↄ̨ñter omiſſis ſiĺr ↄ̨tinuo duabꝰ: et in ṗmo illoꝝ or
dinū aliqḋ alterãs alteret aliqḋ paſſuꝫ certa veloci
tate: et in ſcḋo tãta: et in tertio tãta adeq̈te: tūc qua
litas ꝓducta mediãte totali velocitate in illis tribꝰ
ordinibꝰ ſe hꝫ ad q̈litatē ꝓductã in prīo illoꝝ ordi-
nū ī ꝓportiõe dupla ſexq̇nona: q̈lis eſt .19. ad 9. pꝫ
ↄ̨cluſio eſto gr̄a argumēti / ī prīo illoꝝ ordinū ꝓ-
duxerit nouē gradus q̈litatꝪ. Tūc eī mãifeſtū ē / in
ſcḋo ꝓduxit ſex et in tertio q̈tuor: ꝰ ſic oēs gradus ꝓ
ducti in tribꝰ orbinibꝰ ſūt decē et nouē. Mõ. ig. ad
6. eſt dctã ꝓportio dupla ſexq̇noua. pꝫ igr̄ ꝓbatio
ↄ̨°nis additis his / q̄ dctã ſunt in ſeptīo capitis ṗme
partis. ¶ Inducas ſiĺes ↄ̨°nes īnitēdo doctrine ca-
pitis p̄allegati quot volueris.
gumēti tangēs. Diuiſa hora ꝑ partes ꝓportiona-
les ꝓportiõe ſexq̇altera ↄ̨ſtitutiſ tribꝰ ordinibꝰ
ꝑtiū ꝓportionaliū īterſcalariṫ ſe hñtiū ꝑ ṗmo ordīe
capiēdo ṗmã .4.7.10. / et ſic ↄ̨ñr omiſſis ↄ̨tinuo dua-
bus ꝑ 2° o capiēdo ſcḋam .5.8.11. / et ſic ↄ̨ñter omiſ
ſis duabꝰ: ꝓ tertio o capiēdo tertiã .6.9.12. / et ſic
ↄ̨ñter omiſſis ſiĺr ↄ̨tinuo duabꝰ: et in ṗmo illoꝝ or
dinū aliqḋ alterãs alteret aliqḋ paſſuꝫ certa veloci
tate: et in ſcḋo tãta: et in tertio tãta adeq̈te: tūc qua
litas ꝓducta mediãte totali velocitate in illis tribꝰ
ordinibꝰ ſe hꝫ ad q̈litatē ꝓductã in prīo illoꝝ ordi-
nū ī ꝓportiõe dupla ſexq̇nona: q̈lis eſt .19. ad 9. pꝫ
ↄ̨cluſio eſto gr̄a argumēti / ī prīo illoꝝ ordinū ꝓ-
duxerit nouē gradus q̈litatꝪ. Tūc eī mãifeſtū ē / in
ſcḋo ꝓduxit ſex et in tertio q̈tuor: ꝰ ſic oēs gradus ꝓ
ducti in tribꝰ orbinibꝰ ſūt decē et nouē. Mõ. ig. ad
6. eſt dctã ꝓportio dupla ſexq̇noua. pꝫ igr̄ ꝓbatio
ↄ̨°nis additis his / q̄ dctã ſunt in ſeptīo capitis ṗme
partis. ¶ Inducas ſiĺes ↄ̨°nes īnitēdo doctrine ca-
pitis p̄allegati quot volueris.
Duodecima ↄ̨̨cluſio.
diuiſa hora qua
uis ꝓportiõe: et ī prīa parte ꝓportionali cuiꝰ aliqḋ
alteras alteret aliqḋ paſſuꝫ ab aliq̈ ꝓportiõe ade-
quate: et in ſcḋa a ꝓportiõe ī duplo maiori: et ī ṫtia
in triplo maiori ꝙ̄ in prīa: et ſic ↄ̨ñter: q̈litas ꝓdu-
cta mediãte totali velocitate ī illa hora ſe hꝫ ad q̈li
tatē ꝓductã ī prīa ꝑte ꝓportionali in ꝓportiõe du-
pla ad ꝓportionē q̈ totū ſic diuiſū ſe hꝫ ad ṗmã ſui
ꝑtem ꝓportionalē. pꝫ hec ↄ̨cluſio ex ꝓbatiõe q̈rte
ↄ̨°nis tertii capitis ſcḋi tractatꝰ. ¶ Addas his oēs
cõcluſiões ꝓbatas tertio capite p̄allegato mutatꝪ
mutandis. 223. articu-
lꝰ. q̄ſtionis ¶ Ad tertiū huius q̄ſtionis articulū ac-
cedēdo. ¶ Dubitatur prīo. Utrū luminoſū ꝓducat
in oē mediū in qḋ agit totã latitudinē luīs quã na-
tū eſt ꝓducere a gradu vcꝫ ſue lucis vſ ad nõ gra-
dū: dūmõ nõ ſit reflixio. ¶ Dubitat̄̄ ſcḋo. Penes q̇d
hēat attēdi difficultas actionis. ¶ Dubitat̄̄ tertio.
Utrū alterãs aliqḋ paſſū reſiſtēs valeat eq̄ velociter
alterare ꝑtē ꝓpinquã et remotã. ¶ Ad ṗmū dubium
argr̄ ꝓbãdo / luīoſū nõ agit totã latitudinē ſui lu
minis ī qḋcū mediū q̈litercū diſpoſitū: ſꝑ ītelli
go dūmõ ſit luīs ſuſceptiuū: q2 tūc ſeq̄ret̄̄ / luīoſuꝫ
vt .8. tãtã latitudinē luīs ꝓduceret ī mediū bñ diſpo
ſitū ̄tã ī mediū ñ ita bñ diſpoſitū ad luīs ſuſceptio
nē: ſꝫ ↄ̨ñs ē flm̄: igr̄ illḋ ex q̊ ſeq̇t̄̄. Seq̄la ꝓbat̄̄ / q2 ſꝑ
ꝑ te ꝓducit ī qḋlꝫ mediū ī qḋ agit latitudinē ab .8.
vſ ad nõ g̈dū dūmõ nõ ſit reflexio īpediēs (Impe
diēs inquã ne fiat ꝓductio vſ ad nõ g̈du) / igr̄ tãtã
latitudinē luīs ꝓducit ī medio bñ diſpoſitio ̄tã in
medio non eq̄ bñ diſpoſito. Fĺitas ↄ̨ñtis ꝓbat̄̄ qm̄
qḋlibet agēs naturale ſuapte natura velociꝰ agit ī
paſſum meliꝰ diſpoſitū ꝙ̄ in paſſuꝫ nõ eque bñ di-
ſpoſitū: igr̄ luīnoſū velociꝰ agit ī mediū meliꝰ diſpo-
ſitū ꝙ̄ in mediū nõ eq̄ bñ diſpoſitū: et ſic in eodē tꝑe
maiorē latitudinē luīs ꝓducit ī mediū meliꝰ diſpo-
ſitū ꝙ̄ minꝰ bñ diſpoſitū Et ↄ̨fir̄at̄̄ / q2 aĺs ſeq̄ret̄̄ /
diſpõ medii nullo pacto ad īductionē luīs cõferret /
qḋ irrõnabĺr ē dctm̄. 33Cal. de
acti. luīo. ¶ Dices forte cū calculatore
ↄ̨cedēdo illatū et negãdo fĺitatē ↄ̨ñtis: et ad ꝓbatio
nē dr̄ / illḋ verū ē de agēte cū reſiſtētia. Nichil em̄
luī reſiſtit / q2 nulla q̈litas ei ↄ̈ria. Et ſi tñ diſpõ me
dii nichil ↄ̨ferat ad maiorē latitudinē luīs ītrodu-
cēdã: nichilominꝰ vt inq̇t idē calculator ↄ̨fert ad ꝓ-
ductionē luīs ꝑ maiorē diſtãtiã. In ea eī ꝓportione
in q̈ mediū efficit̄̄ rariꝰ ī ea luīoſuꝫ ꝑ maiorē diſtan
tiã ſui luīs latitudinē ꝓducit vt īq̇t. ¶ Sꝫ ↄ̨tra / q2 tūc
ſeq̄ret̄̄ / qḋlꝫ luīoſuꝫ ̄tūcū paruū ſue naturali
diſpõi relictã poſſet ꝑ ̄tūcū diſtãtiã agere: ſed
ↄ̨ñs ē flm̄: igr̄ etc̈. Seq̄la ꝓbat̄̄: et volo / luīoſuꝫ a.
agat latitudinē ſui luīs ꝑ mediū pedalis ̄titatis
deiñ rarefiat mediū ad raritatē ī millecuplo maio
iorē. Quo poſito ſeq̇t̄̄ a. luīoſuꝫ agė latitudinē ſui
luīs ad diſtãtiã ī millecuplo maiorē ex ſolu°ne: et ſi
iterū rarefiat ad duplū adhuc aget ꝑ ī duplo maio
rē diſtãtiã: et ſic in īfinitū. Sꝫ ar̄ fĺitas ↄ̨ñtꝪ: q2 tūc ſe
q̄ret̄̄ qḋlꝫ lūioſū / qḋ p̄t videri ī ꝓpinq̊ a certa poña
finita poſſe ab eadē poña a ̄tacū diſtãtiã videri /
qḋ eſt mãifeſte falſū: cū poña ſit finita: et ſiĺr luīoſum
pꝫ ſeq̄la / q2 ̄tã latitudinē luīs ꝓducit ī ꝓpīquū tã
tã v3 ꝓducē ī ̄tãcū diſtãtiã / et ꝑ ↄ̨ñs videri cū lumē
ſit ſpēs lucis ſiue luīoſi vĺ eã ſꝑ ↄ̨comitet̄̄. ¶ Dices
forte ↄ̨cedēdo id qñ īfert̄̄: et negãdo fĺitatē ↄ̨ñtis et
ad ꝓbatiõeꝫ ↄ̨cedēdo qḋ iteꝝ īfert̄̄: et negãdo fĺitatē
ↄ̨ñtis. ¶ Sꝫ ↄ̈ / quaꝫ tūc ſeq̄ret̄̄ / luīoſū vt .8. ꝓducens
lum̄ vniformiṫ diffor̄e ab .8. vſ ad nõ g̈dū nõ varia
tū ī poña: īfinitã formã luīs poſſꝫ ꝓducē ſꝫ ↄ̨ñs ē fĺ3 /
igr̄ illḋ ex q̊ ſeq̇t̄̄. Fĺitas ↄ̨ñtis ꝓbat̄̄: q2 tūc ſeq̄retur
qḋlꝫ luīoſū eē īfinite poñe: cū īfinitã mĺtitudinē for̄e
valeat ꝓducē. Seq̄la tñ ꝓbat̄̄ et pono / luīoſuꝫ vt .8.
agat latitudinē ſui luīs vniformiṫ difforme ab .8.
ad nõ g̈dū ꝑ aliquã ꝑtã alicuiꝰ medii īfiniti puta bi
pedalē. Deīde rarefiat totū illḋ mediū īfinitū vni-
formiṫ ꝑ totū et hoc ſine acq̇ſitiõe ̄titatꝪ: ſꝫ ꝑ ſolam
deꝑditionē maṫie (vt corr̄ ī hac mä opꝫ imaginari)
ad cētuplū: et mãifeſtū ē ex ſolutõe luīoſū vt .8. ꝓdu
cere totã latitudinē ſui luīs ꝑ ducēta pedalia: ſigno
igr̄ / g̈dū mediū puta vt .4. ī fīe cēteſimi pedaĺ (vt oꝫ)
tūc uotū ē ī q̊lꝫ illoꝝ cētū pedaliū eē .4. g̈dꝰ luīs vni-
formis. et cū hoc alcq̇d vltra: g̊ iã illḋ luīoſū vt .8. in
cãu dato ꝓducit latitudinē luīſ vuiformē vt .4. ꝑ .100
pedalia: et ſi iteꝝ rarefiat illḋ mediū infinitū ad du
plū iã ꝓducet ī duplo maiorē mĺtitudinē for̄e: q2 la
titudinē luīs vniformē vt .4. ꝑ ducēta pedalia: et ſic
in īfinitū: ſeq̇t̄̄ g̊ / luīoſū vt .8. ꝓducēs lumē vnifor-
miṫ diffor̄e etc̈. nõ variatū ī poña īfinitã formã luīs
p̄t ꝓducē: qḋ fuit ꝓbãdū. ¶ Dices negãdo ſeq̄lã et ad
ꝓbationē admiſſo cãu ↄ̨cedēdo / fcã tĺi rarefactõe
dat̄̄ ibi lumē cētipedaĺ ̄titatꝪ vnifor̄e vt .4. ſꝫ illud
nõ plꝰ ↄ̨tinet de for̄a ꝙ̄ ↄ̨tinebat lumē pedale vnifor
me vt .4. qḋ ꝓducebat̄̄ añ medii rarefactionē ꝑ ṗmū
pedale illiꝰ ꝑtis bipedalis in quã ꝑtē bipedalē lu-
minoſū agebat añ rarefactionē quēadmodum de-
claratū eſt in ſecundo notabili.
uis ꝓportiõe: et ī prīa parte ꝓportionali cuiꝰ aliqḋ
alteras alteret aliqḋ paſſuꝫ ab aliq̈ ꝓportiõe ade-
quate: et in ſcḋa a ꝓportiõe ī duplo maiori: et ī ṫtia
in triplo maiori ꝙ̄ in prīa: et ſic ↄ̨ñter: q̈litas ꝓdu-
cta mediãte totali velocitate ī illa hora ſe hꝫ ad q̈li
tatē ꝓductã ī prīa ꝑte ꝓportionali in ꝓportiõe du-
pla ad ꝓportionē q̈ totū ſic diuiſū ſe hꝫ ad ṗmã ſui
ꝑtem ꝓportionalē. pꝫ hec ↄ̨cluſio ex ꝓbatiõe q̈rte
ↄ̨°nis tertii capitis ſcḋi tractatꝰ. ¶ Addas his oēs
cõcluſiões ꝓbatas tertio capite p̄allegato mutatꝪ
mutandis. 223. articu-
lꝰ. q̄ſtionis ¶ Ad tertiū huius q̄ſtionis articulū ac-
cedēdo. ¶ Dubitatur prīo. Utrū luminoſū ꝓducat
in oē mediū in qḋ agit totã latitudinē luīs quã na-
tū eſt ꝓducere a gradu vcꝫ ſue lucis vſ ad nõ gra-
dū: dūmõ nõ ſit reflixio. ¶ Dubitat̄̄ ſcḋo. Penes q̇d
hēat attēdi difficultas actionis. ¶ Dubitat̄̄ tertio.
Utrū alterãs aliqḋ paſſū reſiſtēs valeat eq̄ velociter
alterare ꝑtē ꝓpinquã et remotã. ¶ Ad ṗmū dubium
argr̄ ꝓbãdo / luīoſū nõ agit totã latitudinē ſui lu
minis ī qḋcū mediū q̈litercū diſpoſitū: ſꝑ ītelli
go dūmõ ſit luīs ſuſceptiuū: q2 tūc ſeq̄ret̄̄ / luīoſuꝫ
vt .8. tãtã latitudinē luīs ꝓduceret ī mediū bñ diſpo
ſitū ̄tã ī mediū ñ ita bñ diſpoſitū ad luīs ſuſceptio
nē: ſꝫ ↄ̨ñs ē flm̄: igr̄ illḋ ex q̊ ſeq̇t̄̄. Seq̄la ꝓbat̄̄ / q2 ſꝑ
ꝑ te ꝓducit ī qḋlꝫ mediū ī qḋ agit latitudinē ab .8.
vſ ad nõ g̈dū dūmõ nõ ſit reflexio īpediēs (Impe
diēs inquã ne fiat ꝓductio vſ ad nõ g̈du) / igr̄ tãtã
latitudinē luīs ꝓducit ī medio bñ diſpoſitio ̄tã in
medio non eq̄ bñ diſpoſito. Fĺitas ↄ̨ñtis ꝓbat̄̄ qm̄
qḋlibet agēs naturale ſuapte natura velociꝰ agit ī
paſſum meliꝰ diſpoſitū ꝙ̄ in paſſuꝫ nõ eque bñ di-
ſpoſitū: igr̄ luīnoſū velociꝰ agit ī mediū meliꝰ diſpo-
ſitū ꝙ̄ in mediū nõ eq̄ bñ diſpoſitū: et ſic in eodē tꝑe
maiorē latitudinē luīs ꝓducit ī mediū meliꝰ diſpo-
ſitū ꝙ̄ minꝰ bñ diſpoſitū Et ↄ̨fir̄at̄̄ / q2 aĺs ſeq̄ret̄̄ /
diſpõ medii nullo pacto ad īductionē luīs cõferret /
qḋ irrõnabĺr ē dctm̄. 33Cal. de
acti. luīo. ¶ Dices forte cū calculatore
ↄ̨cedēdo illatū et negãdo fĺitatē ↄ̨ñtis: et ad ꝓbatio
nē dr̄ / illḋ verū ē de agēte cū reſiſtētia. Nichil em̄
luī reſiſtit / q2 nulla q̈litas ei ↄ̈ria. Et ſi tñ diſpõ me
dii nichil ↄ̨ferat ad maiorē latitudinē luīs ītrodu-
cēdã: nichilominꝰ vt inq̇t idē calculator ↄ̨fert ad ꝓ-
ductionē luīs ꝑ maiorē diſtãtiã. In ea eī ꝓportione
in q̈ mediū efficit̄̄ rariꝰ ī ea luīoſuꝫ ꝑ maiorē diſtan
tiã ſui luīs latitudinē ꝓducit vt īq̇t. ¶ Sꝫ ↄ̨tra / q2 tūc
ſeq̄ret̄̄ / qḋlꝫ luīoſuꝫ ̄tūcū paruū ſue naturali
diſpõi relictã poſſet ꝑ ̄tūcū diſtãtiã agere: ſed
ↄ̨ñs ē flm̄: igr̄ etc̈. Seq̄la ꝓbat̄̄: et volo / luīoſuꝫ a.
agat latitudinē ſui luīs ꝑ mediū pedalis ̄titatis
deiñ rarefiat mediū ad raritatē ī millecuplo maio
iorē. Quo poſito ſeq̇t̄̄ a. luīoſuꝫ agė latitudinē ſui
luīs ad diſtãtiã ī millecuplo maiorē ex ſolu°ne: et ſi
iterū rarefiat ad duplū adhuc aget ꝑ ī duplo maio
rē diſtãtiã: et ſic in īfinitū. Sꝫ ar̄ fĺitas ↄ̨ñtꝪ: q2 tūc ſe
q̄ret̄̄ qḋlꝫ lūioſū / qḋ p̄t videri ī ꝓpinq̊ a certa poña
finita poſſe ab eadē poña a ̄tacū diſtãtiã videri /
qḋ eſt mãifeſte falſū: cū poña ſit finita: et ſiĺr luīoſum
pꝫ ſeq̄la / q2 ̄tã latitudinē luīs ꝓducit ī ꝓpīquū tã
tã v3 ꝓducē ī ̄tãcū diſtãtiã / et ꝑ ↄ̨ñs videri cū lumē
ſit ſpēs lucis ſiue luīoſi vĺ eã ſꝑ ↄ̨comitet̄̄. ¶ Dices
forte ↄ̨cedēdo id qñ īfert̄̄: et negãdo fĺitatē ↄ̨ñtis et
ad ꝓbatiõeꝫ ↄ̨cedēdo qḋ iteꝝ īfert̄̄: et negãdo fĺitatē
ↄ̨ñtis. ¶ Sꝫ ↄ̈ / quaꝫ tūc ſeq̄ret̄̄ / luīoſū vt .8. ꝓducens
lum̄ vniformiṫ diffor̄e ab .8. vſ ad nõ g̈dū nõ varia
tū ī poña: īfinitã formã luīs poſſꝫ ꝓducē ſꝫ ↄ̨ñs ē fĺ3 /
igr̄ illḋ ex q̊ ſeq̇t̄̄. Fĺitas ↄ̨ñtis ꝓbat̄̄: q2 tūc ſeq̄retur
qḋlꝫ luīoſū eē īfinite poñe: cū īfinitã mĺtitudinē for̄e
valeat ꝓducē. Seq̄la tñ ꝓbat̄̄ et pono / luīoſuꝫ vt .8.
agat latitudinē ſui luīs vniformiṫ difforme ab .8.
ad nõ g̈dū ꝑ aliquã ꝑtã alicuiꝰ medii īfiniti puta bi
pedalē. Deīde rarefiat totū illḋ mediū īfinitū vni-
formiṫ ꝑ totū et hoc ſine acq̇ſitiõe ̄titatꝪ: ſꝫ ꝑ ſolam
deꝑditionē maṫie (vt corr̄ ī hac mä opꝫ imaginari)
ad cētuplū: et mãifeſtū ē ex ſolutõe luīoſū vt .8. ꝓdu
cere totã latitudinē ſui luīs ꝑ ducēta pedalia: ſigno
igr̄ / g̈dū mediū puta vt .4. ī fīe cēteſimi pedaĺ (vt oꝫ)
tūc uotū ē ī q̊lꝫ illoꝝ cētū pedaliū eē .4. g̈dꝰ luīs vni-
formis. et cū hoc alcq̇d vltra: g̊ iã illḋ luīoſū vt .8. in
cãu dato ꝓducit latitudinē luīſ vuiformē vt .4. ꝑ .100
pedalia: et ſi iteꝝ rarefiat illḋ mediū infinitū ad du
plū iã ꝓducet ī duplo maiorē mĺtitudinē for̄e: q2 la
titudinē luīs vniformē vt .4. ꝑ ducēta pedalia: et ſic
in īfinitū: ſeq̇t̄̄ g̊ / luīoſū vt .8. ꝓducēs lumē vnifor-
miṫ diffor̄e etc̈. nõ variatū ī poña īfinitã formã luīs
p̄t ꝓducē: qḋ fuit ꝓbãdū. ¶ Dices negãdo ſeq̄lã et ad
ꝓbationē admiſſo cãu ↄ̨cedēdo / fcã tĺi rarefactõe
dat̄̄ ibi lumē cētipedaĺ ̄titatꝪ vnifor̄e vt .4. ſꝫ illud
nõ plꝰ ↄ̨tinet de for̄a ꝙ̄ ↄ̨tinebat lumē pedale vnifor
me vt .4. qḋ ꝓducebat̄̄ añ medii rarefactionē ꝑ ṗmū
pedale illiꝰ ꝑtis bipedalis in quã ꝑtē bipedalē lu-
minoſū agebat añ rarefactionē quēadmodum de-
claratū eſt in ſecundo notabili.
Sed ↄ̨̨tra / q2 tūc ſequeretur / in lati-
tudinē luīs vniformiter intēſi vt .4. eſſet in infini-
tū parū de forma adequate: ſꝫ ↄ̨ñs īplicat: igit̄̄ il-
lud ex quo ſequit̄̄. Sequela ꝓbat̄̄: et volo / illud me
diū infinitū rarefiat in infinitū. Quo poſito ibi re-
perietur infinita latitudo luīs quãtitatiue vnifor-
tudinē luīs vniformiter intēſi vt .4. eſſet in infini-
tū parū de forma adequate: ſꝫ ↄ̨ñs īplicat: igit̄̄ il-
lud ex quo ſequit̄̄. Sequela ꝓbat̄̄: et volo / illud me
diū infinitū rarefiat in infinitū. Quo poſito ibi re-
perietur infinita latitudo luīs quãtitatiue vnifor-