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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 42, page id 845634801:0058
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2 A N C IS C I
+
+
 R
lC
ZEZEZLCVW Y
differentia duorum laterum, _ ad9rCSATO COrUM
venire latera.
Sic data B disterenria duorum lacerum, et datum quoque D ad
Blchatun corumdem. Oporrer invenire lacera
Lacusminus esto A, majus igitur eric A +. B. Adoregacum ideo
TaTOrUM A 2 = B. AC idem dacum est D. OVATC A 2 + B XquATUI
D. Fc per anrirhelim, A 2 aequabirur D =B, ee omnibus subdu.
Plaris, A aquabieur D 2
Vel, lacus majus esto F. MinusiBitIECriE E =B. Adgregatum ideo latCrUM. P 2
=B. AE idem datum est D. OuATE F. 2 =B aequabituE D. de per ancichelim, E 2
aequabitur D .; B, ec omnibus lubduplaris F. ae quabicur D = + B 3
Daca ixitur difterenria duorum lacerum ec adereeuco corumdem, inveniuneur latera.
Enimvero
Aderezarum dimidium laterum minus dimidia differentia aequale est lateri
minori, plus eadem, majori.
Duod iplum est quod arguit ZetelIS.
Sit B 40. D 100 A fit 30. F70.
Z. E Y E XTCY M. TI.
Data ditterentia duorum lacerum, e ratione corumdem, inrenire
latera.
Sic data B differenria duorum laterum, dara quoque rario minorislateris ad majus.
uc R 2d5. Oporret invenire latera.
Lacus minusesto A. ErGO laUS MajuISCrIE A F. B. OuarE A ad A. F B, est BE R ad
S. Ouo analosismo resoluro; S in A aequabitIE R in A, + R in B. EEper cranAa
tionem lub contraria adfectionis noca S in A, = R in A aequabituE R in B. et
omnibus per S -R divisis; m aequabitur A. undeest, uES. = R ad R, ita B ad A.
Vel lacusmajus esto E. ErgO latUS = CrITE =B. OUare F ad E =B, est ucS
ad R. Ouo analogismo reloluro; R in F. aequabitur S in F., =S in B. FF pet
transtarionem congruam S in F., = R in F. aequabitur S in B. Vnde cs, DES =R
2dS, ica B ad F
Dara igiur differentia duorum lacerum, de rarione corumdem, inveniuneur late
ra. Enimvero
Est ut differentia similium duorum laterum ad simile latus majus minusver
ita differentia laterum verorum ad latus verum majus minusve.
Sit B 12. R 2. 53. fit A 24. F 36.
ZETF