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# Title: Erhardi Weigelii Sacrae Caesar. Maiest. ut & Com. Pal. Sultzb. Consiliarii, Supr. Artium Archit. Directoris Saxo Ien. Mathemat. PP. totius Academiae Senioris, Philosophia Mathematica (shelfmarks Leibn. Marg. 65; ZEN Leibn. Marg. 65)
# Folio 256, page id 79876922X:0476
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256
DESIDERTA PHTLOMALHAE
eam propoI. VI. jam dum inveltisaverimus.
Muia tamen illa decerminatio simplex erat, e
quadratis partium pocius quam tancuplo re-
spondebat, ee licet tantupsi ratio quoque subin-
reheretur, neglecta tamen parcium difterentia
quadratum totius salcem quadratis de duplo
rectansulo partium integrarum astimabatur:
AsC, nuncprotundiore computatione scrutabi-
mur quasicam rationem, iplam que partium dit.
Ferentiam advertemus, de ab ca quoque nomen
rationis derivabimus. Dicatur itaque tota Z,
ParS major Z minor F, differentia partium Z.
F dicatur A. Ouadratum totius X est X9.
quia v. tota Cuis partibus aquatur, ipsa tota X
dici poterit Z  F, sub quo nomine deriraci-
vo quadratum tocius XE est Z9 i 27 B X Rq.
Recordamur autem ex propolitione praece.
dente 2ZE aequari Z 9. et F. 4. - Ag. vel quod
idem est ZZE. i A9. aequari Z 9. H R9. RrgO
E in Oto totius Z deriratire producto (nim. in
Z9X 2Z F  A9) lOcOZ9i s concipiamus
iplis xqualia 2ZF et Ag cum jam in illo Oto
totius adint duo ZF; Patet, CTum FOtIUS X
esse +ZF. nt A9. -per additionem. Constitu.
co nunc Cto totius, ut radicibus tantupli apte
relpondeat, cranseat computatio nunc ad alte.
rum terminum, fiatque tancuplum parcium Z
ec F. e prodibit simplex ZF. CiOpareNtIY
nunc hi duo cermini productire inter se, pro-
dibitque ratio quancitatis guaesita. Commo-
distima
iet