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# Title: Leibniz-Handschriften zur Mathematik LH 35, 15, 5
# Folio 74r, page id 00068207:0147
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Vir Amplissime Consultissime Ercellentissino
Domine Gratiosissime
In Doct. Burchardi de iis quae promisit mittendis, compellando
non defui. Novi ipsum rescripsisse jam ante geminum octi
duum. Qoid in mora fuit quo minus litere redderentur
ignoro. Si nondum reddita sunt, frater ipsius Hannoverae
degens urgendus est, ut literas exhibeat. Responsio Duc
Burchardi erat, sibi prius certa experimenta esse in
stituenda, unde vix liceat ipsi promissis stare in ea dos
trina ante promissam diem expedienda.
Analysin Numerorum Compositorum urgeo quantum
possum. Dudum quousque res succedat scripsissem, nisi me
puderet minus elaborata in conspectum dare. Nondum
cum omnibus quae inventioni moram injiciunt transigen
licuit. Amooi tamen obstacula quousque potui.
Primo quidem ex Theoremate mZ -m et y. sunt
Condivisibilia, eruere nihil potui.
Sit enim Divisor Communis d. meties y. d m -m
inveniatur Residuum (Y) ex m abjecto y. quoties
potest, utique y. metietur partem exhaustam m
et d. metitur y. ex Hypoth. Ergo e S. metiturmy
Sed hoc incognitum est. Pro Cognitis tantum sumi
possunt m. V. et y.  quibus nullus per Theore
ma evinci potest alteri condivisibilis.
Obs.1. Ergo conferre oportuit Divisore Subdivisores
eoruque Residua ad eundem Dividendum.
Obs. 2. Intelligo autem ubique Divisorem multiplum
subdivisoris. et dividedum utriusque semper pono eundem
Obs. 3. In Divisione pars exhausta dicitur quicquid
per divisionem abgectu est, atque haec una cum Re
siduo integrum Dividendum componit.
Obs. 4. Omnis ergo dividens metitutr suam partem ex
Raustam
Obs. 5. Subdivisor metitur partem exhaustâ Divisoris
Metitur enim Divisorem per Obs. 2. et hic partem
suam exhaustam per obs. 4. Ergo subdivislor eandem
metitur.
Obs. 6. Ex eodem. Dividendo Differetiae partium exhausta
diffe
rum e Residuorum ad duas diversas divisiones aequales sut
Nam iterum addita residua debet eunde Divisad su compo
nere per Observ. 3.
Obs. 7. Si divisar e subdivisor habeat Residua ine
qualia, differetia residuorum metietur subdivisor
Metitur enim suam parte exhausta p obsero. 4
Metitur quoque partem exhaustam Divisoris Obsero
Metietutr ergo differetia partium exhaustarum
Ergo et Differetiam Residuorum per observ. 6.
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