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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 11, page id 898203430:0203
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=203
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# Lines: 38 recognised, mean confidence 0.93
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ORDINATARVM POTENTINM LIMIT. LIB. I.
Tub data AB in CB, altero sub A C in eadem CB, quod eAt sub conddiu
Iis. Erso CD porest praedictam sUIIMAII: X hoc de qualibet ordinaca etc.
Duare concauum huius Hyperbola est Locus propolixe Ordinacionis.
L. EMM A. I. PR OP. XVI.
I data recta bisariam secta fuerit, eique in dire-
ctum addita quaecunque: rectaneulum sub dimidia in
dimidium cum addita quater sumptum aequatur rectan-
sulo sub data, (5 addita una cum rectanculo sub da
ta, Cs superaudita.
A IT daca AB secta bitariam in C. de ipsi in directum sit acidica quaeli-
a bet BD. Dico quauor sunul rectansula AC D aequalia else rectan-
vulo ABD cum rectansulo B AD.
Sumatur D E equalis, de in directum ipA AD.
Tam, GuUIm sIE EOTA AF dupla Forius AD X
pars A B dupla parris A C erie reliqua F. B
dupla religuae CD, scd eA quoque BA duy A 5
Pla AC, erBo rectangulum sub duplis, hoc
elt sub F B, B A quadruplum est rectangulo
Tub dimidiis, nempe sub DC, OA; guatOF
ergo sub A C, C D, seu sub data dimidio in dimidium cum addita,
aQUaNEUE rectanoulo (UB AB, BF, Sed hoc equale est rectanoulis Cumul
Tub AB, BD; hoc eA sub data, _ addica, d sub AB, DF, vel AD,
Hoc est lub data, et superactdica. Ourre conttat propolium.
EROPOSIFLB AVII.
Oeus Ordinatarum potentium summam ex rectaneu
lo sub data, (5 addita cum rectanculo sub data, (5
superaddita, est ad concauum Parabolae, cuius vertexe
sit punctum bisecans datam, focus verd occursus data
cum addita.
PIT data AB, eique addita quaelibet BC, sectaque AB bitariam in.
E per vericem E circa axem F. C. delcripea sit Parabola, cuius focus
Ex B. Dico huius concauum eNC LOcuM PFO-
policum: hoc est ordinatam C D posse lum-
mam ex rectangulo sub data AB in additam
BC cum rectangulo sub data AB in luper-
addicam AC.
Ouonium enim B ponicur locus Parabola