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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 12, page id 898203430:0204
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VINCENTIL VIVIANI DELOCIS SOL IDIS
ED, erit FB, sive AF. Cui recti lateris subquadrupla 2 erso quacracum
liBr. 2. DD Ordinatae C D aequatur rectangulo C F. A quater Cumpio  A (Der
Lemma praecedens) aequale estrectangulo lub
AB in BC, quod cHt sub daca, e addica, cum
rectangulo suub eadem AB in AC, quod est
lub daca in superadditam, de hoc de quacun.
que simili ordinata _C. Ouare Concauu BU.
iuS Parabola est Locus propolicae Ordinatio.
niS. Ouod crat _c.
R OPOSITTO XIX
Ocus Ordinatarum potentium summam quadrato.
rum partium data, vel inteerantium, vel coaddi-
tarum, est ad conuexum Fyperbola, cuius centrum sil
punctum bisecans datam; a quo vertex pertendicuia
riter distet per semiaxem transuersum potentem subdu
plum quadrati ex datas quae sit erufdem yperbola se-
cundus axis priori coniueatus.
PTF AB data secta bitariam in puncto C, per quod CE CD ipA AB P et Pet
 digularis, ac vocens duplum quadrati AC, vel dimidium quadrati AB,
de per verricem D, cum cenro C de secundo axe AB, delcribatur Iyper
bola D E. Dico huius converum esse Locum propolicum; hoc est, vbicuna
que ordinetur LCn vel incra, vel exira dataM; 
iplam FC poste agoregacum quadcatorum AF,
Ex punctis D, B; verticibus contrapolitarum
Sectionum coniuoatarum, compleatur rectan
613. decun. Suum BCDH. Constac iunetam C H esse B
Alymproron verisque Sectionibus communem.
adeoque, et Hyperbolae DE; quae ordinatam
FC secet in C7, de huic FC, Occurrat DII in
I. Tandem CF producaur vlque ad Sectio.
nem ipsi D E oppositam in O; nam erit FO
aequalis FC,
tam quum sc quadratum C D duplur qua b5
drati C A, ex constructione, erie ee quadracum
HIB duplum quadrati BC, ob lacerum aequali-
tatem, de quadratum L F. duplum quadraci F C, ob laterum proporrio.
HI. Lecun nalitaTe; aeque est c rectangulum OL C aquale quadrNo DC, quod
si Conc. est duplum quadrati AC: quare, quum cat guacFaTM FL. sic duplum
quadrati FC, quam rectanoulum OLC duplum quadrari AC, eruHE duo
simul, nempe quadtraum FL. cum rectaneuto OLO, hoc elt vicun
quadra.
a EK CONUEr.
Winac. IR
apoII.
di COMIC.