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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 109, page id 898203430:0301
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=301
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# Lines: 49 recognised, mean confidence 0.86
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ADDEHDA EIBRO SECONDO.
Ouum sie enim, ex constructione,
vE V ad R, ica l Ci 3d IL. Converten-
do erie ut R dit V, ita lI (ad IC, _
ue quadratum Rad quadratum V: vel
uc lineak adlincam I, ita quadearum
IE ad quodratum LC, vel ita diamerer
transrerta hujus IIyperbola ad suum
rectum lacus; Sed, uc est Y ad sui du-
plum, ica est idem rectum latus ad sur
duplum: quare ex equali, uc est R ad5.
qua est doca rario, ita esteran (verla dia-
meter hujus Iperbole ad duplum lui
rectilareris; led ex praecedenti Theo-
remate univertali, uri est cransverla
diameter cujuleumque IIrperbola ad
duplum sui recti laceris, ita sUINE qua.
deaca ordinararum ad diamerrum conjugatam, ad aggregata quadra-
torum partium secundxe diametri ejusdem LIyperbole, ec in hac FIy-
perbola racio incer diameerum cransverlam, ec duplum lui recti la-
ceris ostensa elt eadem, ac ratio data inter R, _ S: ergo hujus IIy.
perholae conrexitas es Locus, qui quaerebatur. Quoderat, ac.
Fix his deniquo elicitur lequens
eddoL
eNCE
deee 
it
DROD. ... sn T HE D R. 120 10 MCIIL
ct (135 11.
Ocus ordinatarum, quarum quadrata sint media arichne-
Ltica inter quadrata partium datae rectae terminatae, vel
interrantium, vel coaddirarum, est convexum Tlyperbola
aequilaterae, cujus diameter secunda conjueata sit ipla data,
diameter vero transversa per ejus punctum medium ducta,
sit huic aequalis.
laster
Tam sic hujus Fy perbolae rectum latus alcerurri diametro equa
NIC crir.
Sunc enim, ex nuper addica Propol. . . .. in FIy verbola aequilatera
quadrara ordinararum ad diametrum secundam conjusaram ad 19-
gresata quadracorum parcium daraxe secundae diamerri, vel incegran-
cium, vel conddicarum, verransversa diamerer ad duptum lui recti.
lateris. Sed hic, ex hypocheli, tranversa diamerer aequalis est rocto
lateri; erso ratio quadrari cuiuscumque ordinara ad aggresatu qua-
dracorum parcium, vel inceorancium; vel conddicarum lux secunde
diamerri conjugacae, est Temper ea, quae incer unum, e duo; hoc elt,
unumquodque quadrarum ordinatx est dimidium aggresari quadea-
corum dicharutu parcium; led omne dimictium duarum simul magnI-
Eu