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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 140, page id 898203430:0168
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140
BINCENTIE VINTANT DE LOCIS SOLIDIS
PROPOSTTTO LXXIII.
A Tliperbola. Leo ranationis ramoram ad oridt.
bola sibi concentricae, cujus axis transuersus sit Mo-
dulus ex Asymproto, qui ad suum rectum latus est 2t
latus transuersum datae FIrperbola ad summam late
rum ejusdem.
sicit cerstei
SIO Fyper bOla A B C, cuius vertex B, axis transuersus V B, cen
 tum E, in quo SIE daTA FaOTM OriGO, A(yIPEOEi VerO (INE LF.
EL, vercicalis cangens BI, trianguluim autem FP P AErmprocale nuncu
Datum, d RF P circumasymptocale, 2c Fandem NL, ModuluS ex ASyM
Ptoro, inventus per F HIM axi DF Parallelam _c. prout in definit. xviij.
Xin. XX. DICO G per verricem L circa axem L B D describatur HyperbOla
OLH dutae concemrica, cuius axis prantuersus Ex Modulus NL. quique
ne incentro, est ad Locum concauum alterius Flyper-
2d THIM FCCIMMI LaIUS hC ve datae trantuertus aris ad ipsius laterum sum
mam, huius FIrperbola ConcaUUM eNC FimiteM PEODOLTUI.
ita quadratum F B ad quadracum B F, _ componendo per conersionem
racionis, et condertendo. ve trantuertum ad summam lacerum, ita qua
dracum FB ad summamm quadratorum F B, BF, vel ad quadratum FF,
vel ad quadracum sibi requalis extenta BR C ex Moduli inventione) hoC
est ita quadratum FI. ad L FI; sed est quoque vecransuertum latus ad lum.
mam lacerum dacae Eyperbolee, ica semiiransuersus F. L. delcripeae Hyper.
bola
. COnE.
Procucatur, descripta FIyperbola CSL. R, quae verticali contingenti occurrat
O. 2. acque huic ex L. aequice L. 11.
lam, Iuum (ic PF AIymptoros dacae ABC, d F B semidiameter tran
ex prima versa, BF vero ad verricem contingens, exie ve 2 transuersum ad rectum.