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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 107, page id 898203430:0135
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=135
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3
OADINATIONVM COIMLL. LLMLIOTSLID. L.
die intra Cenu es al Partes l. Del Verlicem aurem I. describatur 2 exrY. HW.
Fllipsis LOM, cuius axis cransuersus sic ipse Moduus L. N, qui ad suum uS.
rectum L. V suc ve rransuersus BK datae FIlipEs ad disterentiam ciuldem
lacerum B I, BL. Dico Elliplim hahe elle datae circumlcriptam, cius
que concauum esse Limitem propolcum.
erum SectIOnIS, _ centrum Moduli ex Verticali, ad dictantiam inter cen
trum Moduli, _ batum trianculi circumseripei est ve transuertum Sectio
nis latus ad suum rectum, erit OP ad P D ve transuersum RB ad BZ.
vel ve b OD ad B R. Ouum igitur tam O D ad DR, quam OP ad b ex 23. CCC
ostra Di
PD Et ve crantuerlum ad rectum; eric divilim tam DO ad OR, quam uinac. in
PO ad O D ve transuerlum ad lacerum differentiam, de ancecedences sI. APOII
nul proportionum termini, ad consequentes simul cerminos carundem,
nempe DO cum OP, siue PD ad RO cum O D, Sive ad DR, CrIE VE
vnus ancecedens ad suum consequentem, hoc est re PO ad OD, Cite.
Ducacur ex A super tansentem A P. perpendicularis AH.
ec quoniam in Coni-lectione centrum habences can et Cen
PD ad DIL LUIPEA COHMUII aICuC DL, Cu ve rectangulum L D P
ad rectanonium F DR, vel (his cum aequalibus permucatis) ve c rectan
sulum NVDI. ad quadratum ordinatae D A in Ellips ABC C nam ipta.
D A in criangulo rectangulo F. A R perpendicularicer cadic super balim
C 19. huius
ad num. 3.
FR) _E VE NIT ad P Y, ita est d ob Ellipsim T OE, rectanoulum idem d
NDL de Gu  SCHatA CR D IH CcMM EIIBAI TOL: quarC vera
que harum Ellipsium Eran(IE per A; cademque ratione, et per C: led
Conic.
cimi
rectanguU D PP. aequale est e quadrato semidiametri P L, erg0 P A, e rg. huius
EC contingune e Elliplim T AL C ad puncta A, C, sed in ii(dem quo
ad DUm. 2
F ex conuer.
que concingunt Fllipsun datam ABC, ex constructione, ergo huiulmo- 10 37. primi
di Elliples se muruo concingune 8 in iildem cancum punctis A, C, ac Conic.
Propterea TAL C ipsi dacae AB C est circum scripta.
5 or. prime
noctri de
Lllipsis itaque TL C secet tansentem verricalem BC in 9; suque alius MaX. et
quicunque raus DC, de per S Cic Ordinata V X, per K verO sit vertin 
ealis canigens KI.
ve transuersum ad difterentiam, vel, ex constructione ve, NL. ad L Y, sed
Mu