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# Title: Leibniz-Handschriften zur Mathematik LH 35, 15, 5
# Folio 76v, page id 00068207:0152
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Tabula Planetica ex Theoremate primo d Tabula initiali
005+ ∞D0 3 D5XipeZ 00Yipog SA pOBB ODZ APD X (DX , p OX CX+ pd E +p0D S (0DS+ DS(35 +0S+PO O P0DIOD+3D+ PO (O+
-200D7 -2p07 - 2p015Y -2p0D0 -200D5 -2p08 -2p0D5 -2005 -2pOD
(07) =(8)
(000) = 95) =(00) (3) =(02) - ) -(0
+b uMM abatb Valor OD hic nondum datur adeoque erit Xinilum desic in sequentibus si Valor non
Namit calculatus
O = atb. 2ab et D - ab. Facit 0D - ab +ab-24b - 0 qu. egle
Ex praxi priore capio O = a +b- rab
men Novitiu p. =Cc
na c. ordine sequituo- 2p0- n 2ca
ea nox sine Parentnesi sumemus pro novis suma (0) = (a) - Zab) +aub ) ad
+ p0 = ac 2bc - habe
Suna B. Cabs - Efube
OD -0 perN
adtria Nomina suma (0D (abe) ad tria Nomm
aementis Praxeos ac quatuor Nomina in qua praxi ipsum p. erit Nomen Novitium jam porrosequens seu
O = a - 2ab +aabc
D- ab -2abc.
ad quatuor Comina +p 20 - p -2apa gabp - 8abc, P p0 - ap - 2ab, p + gabe, p +pd = ab p - 2abe 1
e (C) =() =Zab) + aabe) Habed) -20D
=E abC, P -206D =   - 2 abc, 
per Theor. III. Theor. Il. Suma (D) = (ab). 2ubc) + 2abed) Suma (0D) = (abc) - Habet
7h. MI. Th. 11.
D= ab -habe trabed
∞D -abc - 4ubedt
Ih. M. Th. 1. dua  - abid 
-20 = P - Eap + 4 ab p - 8 abe p A1babedp pC - ap Zab p + qabe p - 8abed p Ap D = ab, p- 2abi p trabid p 1p BD. abc, p. gabedo S0 -0
= 0 Nomina (0) (a). hab) Fasube). sfebrd) tib cabruse) -2908 =  nrabi p t Babed p - 29d- -rabe p t Baute Ep D60. pere 
Tecremata citantur uti in priore Prati (D) (ab). Yabe) +gabed) X. (OD abe) -Habed) + 1abede (8) fabed) -qeb d e (0V) -
Sicut ob incipit ab abede ita porro P D. incipiet abcdef SOD erit abcdefus e Vabedefgh in Praxibus eo ascendesis
OD = abc - 4 abed +10 abcde
PRAX1S Oinvenitur D - ab- rabe t2abcd.
ontinuando +pC = ap 2ab p + jabe p - Babcel, p H6abcdle P - pD = ab, p - 2 abc p + 2abed,
P - abed - 4abcde. D-abedle
+ POD= abep- dabcdp 40 ab de tpoabidp
2pOD =  1 - rabc p +8abcd, p - 20 abcde, p - 2p dD = =2abc, p +8 abcd, p - 20 abcdle p - 2p028t =0. e
(D. sabi). abe) + rabid) X -sebedes) (03). fab.). qabit) ro sabele) 20 abedet (0) (abeus). qute deseatu s 
3). fabedef) per 2.
IOD-abc - tabcd tuabede -20abedes
eibed iidavcde) Ape =ap rade + qebip - Babcdp ti6abedep rabeles p pD- abp. Zabe p + fabid P
S= abed - aabede A1o abro
Aabedefp + pOD = abe p -gabed, p +abede p.- 2oateo
-260D = , , - rabe p + Babe d P - 20 abe de p + qu abedesp) - 2p0D = - 2abc p + R abed, p - 20 a 1cdep +40 abrd efp - 2p0D 5 = 0 pera
D) - (ab) - fabe) arabed) X - abeulet) t icdesue 9)) -sabe) -quoed) L iabide) Zeabides) + 3 alide (5) Labed) - fabede) o sabides) 2qu
abede P H1rabides, p) tu sabioetqus)
ad quinquae Nomm:
res  alid p balides p (3) alies (3D8) -abcdes
abet abe au inub
gabed prabed) - Sabus
50 8 oy
ad sex Nomina:
aito  iad iectia
rbaiies ed 50 d
+abede- qude Hbabed.
9D.  D Srabice
ad VII. Nomina
inuie
Eoabidip qabide
si oabdis tsgabidet
Pro Scopo quidem nostro sufficit, in systemate haberi simplices modo Planetas sed quia
culanda e
am
Nihil quidem dificultatis jam restat pro altiori continuatione
Sed multa restant pro majori facilitate
Cantecedentia
Nam primo in unoquoque systemate repetuntur omnia systemata
uti ipsa Collatio systematum patefacit, nec dubitandum ert idem porro futum
Verbi gr. Systema octo Nominum repetet totum systema VHI Nominum.
Nam Systema ad 8. Nomina valet pro omnibus Casibus
Ergo etiam pro eo Casu ubi Octavum Nomen =0.
Hujus vero Casus idem effectus est cum systemate  Nominum additorum
Quare si in Octavo systemate aliqua expungantur quae circa hunc Casum
nihil facient, redire debet ipsum systenca. Nominum a sic in aliis
secundo Quod in Novo systemate accedit, hoc solum est ultimum mebus
Priora membra omnia redeunt ut in priore systemate proxime minai
Ex Tabula igitur Planetica expungi possunt reliqua, et tantum ea retinea
quae faciunt pro ultimo membro inveniendo
Nam hactenu omnia membra pleno calculo invenimus etiam ea
quae ex repetito priore systemate haberi poterant, labore valde superfluo
Reformata, Tabula Planetica pro ultimo membro novi Systematis inveniendo
55055 (800) 8D180 18
0D5)85 (90Y, 5I 0D
201542. 20585 -20D89-2083 -20WX -26DX -20∞Y =CX -20288-2035I. 2009= 209 -20∞ - 20,(0. 207-
=(4) (55) (850. ( 50) 180) - (80D) (7D)0) (8)) (00 -59) (02) (8) 105) -(D)
usus hujus Tabulae:
Primo Per quemlibet Planetam intelligatur saltem ultimum membrum ejus
Planetae praxi proxima inventum
Secundo, summa quae ultimum inventum praebet ad omnem Planetam
litera apponatur, ut verbi gr. pro abc in novo inveto ponas abed
pro abcde ponatur abcdef
Id est quamprimu priori more valorem in Parenthesin includemus
literam unan ei apponemus
-200355- 2p008 -26010
ad duo Nomina
(904) (088)- (88
ad triathomina
Quae hic in Parenthesi invemcunturi
es 0(0) - 0- 20)01 f 20D  NV, 1
5)C (. 21) = 1 (0 9) _, :, 1 -20
O =(a] 2 ab) + ( abC) D = d0- 2abc +habed
g  CCAXI5 O - a. 2ab. qabc. - Babet
sm aaiu 
D abide -b abcdes.
abcdp- 4abe de p roabidet p.
38 = qus pe