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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 414, page id 845634801:0420
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424
V A RZORYM DE ALE BYS NIA ZE E M A FTCFS
3
VE adereearum similium transsinuo sarum ad disserentiam carundem, ila prosinus complemenii ds
midiae summae peripheriarum ad prosinum dimidiae differencia, EF ita prosinus complemensi dimidiae dif
ferentiae ad prosinum dimidiae summa.
2. Duod si una eperipheriis proponitur minor quadrante altera major,
Eric,
Ve adgrecarum similium transsinuosarum ad differentiam earundem, ita prosinus dimidia differens
tiae peripheriarum ad prosinum complementi dimidiae summa, Es ita prosinus dimidia summae ad pros
num complementi dimidiae differentia.
Dara peripheria compolira e chuabus peripheriis, quarum sinus dacam habeaneratio.
nem, dancur lingula.
2 Enimvero si composita minor est circuli quadrance,
Fric
resinus componencium prime ad snum secundae, ica cransinuosa complemenii composita ad prose-
num complementi primae minus prosinu complementi composita.
2 Et si composica major est quadrante, ueraque vero componentium minor quadrante,
Fric,
resinus primae ad sinum secunde, ita cranssinuosa complementi composita ad prosinum complemen
ei composica plus prosinu complementi primae.
3 Et si denique componentium peripheriarum prima sie minor quadrante, secunda major,
Lrie,
re sinus primae ad sinum secundae. ita cranssinuosa complementi composica ad prosinum complementa
composica minus prosinu complementi prima.
re sinus secundae ad sinum prima, ita transsinuosa complemenei composice. ad prosimum complements
compositae plus prosinu secundae.
Dara differenria duarum peripheriarum, quarum sinus daram habeanerationem, dan-
rur singula.
2 Enimvero si differenia sie major quadrance cirendi,
Erit,
Ve sinus componenium prima ad sinum secunda, ica rransinuosa complemenei disferensiae ad prost
num complementi primae minus prosinu complementi differentiae.
Cum aurem prima sumetur major quadrance, secundu sumerur minor; ex contra.
2 Et si dosserencia sie minor quadrante circuli, disferences aucem peripheria diver sa sine specier
Erit,
Ve sinus prime ad sinum secunda, ica cransinuosa complemenei disferencia ad prosinum comple
menti differentie, plus prosinu complementi prima.
Et cum prima sumetur major quadrante, altera sumetur minor, ex contra.
3 Es si denique disferentia sit minor quadrance, ueraque vero disferencium vel quadrante minot
vel uiraque quadrante major, ac prima quidem incellieatur ea cui debecur sinus major, secunda bi
minor,
Eric.
resinus prime adsenum secundae, ita cransinuosa complemensi disserencia ad prosimum complemen
si differentia minus prosinu complementiprima.
EE.
Ve sinus secundae ad sinum primae, ita transinuosa complemenei disserentia ad prosinun pt
menti differentiae plus prosinu complementiprima.
Cum aurem sumetur prima minor quadrance. sumetur quoque secunda minor quadrante. Fs Co
era cum sumerur primamajor quadranie. sumerur quoque secunda major quadtranie. Iaque om
sit ceu pibonor est problema.
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