DOI Seite / Zitierlink:
https://doi.org/10.11588/diglit.34084#0018
18
CARL GBBHARDT:
...eaMsae..., a ^M/Aas
/;<S7Y' po/M?'/, /;07?3E71SS
C077777?M7?7'aAaecp7'MS/Md!7-
cm M?::7?:aG/oe7'/e7'e7:/,. . .
...007'ZGK2A:e77.., c/oo7'7/e(T'e/A:e7?3!e7??e7?sc/?e7:
^ocA zeer wemz!g, /en op^zcA/ 0/777 V geAee^
ZT^eTZ^cAe/z/Af^e^^C/cA/?/eze ge7??.e7?e ooo7-o'o7-<iee/e77
/?e&&e7? /co7?7:e7: /?e7?:e7'A'e7:. . .
...SM&Za/M :g7:o7'M7:/:M,.o/s 7?:e7? c/' 07?H?e/e7:Ae:'/, o/ ^zeoeT' ^O/Aez/
wec/:7:ee7?:/...
. . . e/ :7?:Mg:7:M/:o7:e77: p?-o . . . e?: /// /^eze //Z^eeMc/Zg' TM/e//, e/Z /too.T' oooT*
?77/e//ec/:: cap:'::7:/... 007*5/07:/ 7:e7?:e7:,...
PARS SECUND?V DEFINITIO VII.
(^Moe/ s: p/?:7'M 77?//:'o://MM A'?: :7:c/:'e7: oee/ 07?e/ee/:ge7: — 77:G/:'o:c/MM —, 0/ ^e-
:':: M?:M MC/:o7?e 7/M co7?c?:7'- Z07Zcfe/*e/'/. — 6'777^77^/77'7/7 — 77? ^e/: K'e/'/i'T.ng ?'??
7*M7:/,. . . c/:e7' ooegeT: /e ^M7?:e7: /:07?:e7:, . . .
AXIOMA II.
/7o?7:o cog:/a/. De 7?:e7:sc/: e/e7:A'// 0/ %72&7\$, Wy We/e77 7^/7/ W?/
c^eTz/cezz — Tlfo^z cogz/c/zz/^z —.
AXIOMA V.
#M//MS TTS SZTZgM/MT-eS p7'Me-
/e7* co7*po7*M, e/ cog:/M7?c/:
7?:oe/os, se7?/:7??,MS, 7?ec pe?*-
c:p:??:M5.
IFy geooe/e:: e7: /?e7?:e7'Ae7: gee7: /?ezo7??/e7*e e/:'7?ge7?,
0/ 7/z'e/^ 07777 C^e g'e77/7/77777'/fe 7777-/77777' - TV77-
/777*77 7777/777'77/77. —, c/M?: /?'g/?M7??e7?, e7? MM/lze?:
PM7?e/e7:Ae7:.
PROPOSITIO IX. DEMONSTRATIO.
. . . %MM/e7:MS o/:o cog:/M7?c/:' . . . 0007' zo oee/ /?y MM7?ge7?:e7'A/ w?07'// 77:e/ ee7: M7:G/e7*e
7?:oc/o M//ec/z:s co7:s:'G/e7-M- AepMM/e/e w:'/ze 0M7? z/e?;Ae7: aM7?geG/aM7:/ 0/777 V coe//z
/M7*, e/ /?M/MS e/:M77:, z^MM/e- Coc^ 00/c OOCZOC/A: 7^, ooo?* zo oee/ /:?/ 7?:e/ ee::
7??:s M/:*o a//ec/?:s es/,. . . a7?//e7'e /?epMM/c/e nA/ze 0M7? e/e7?Ae7: MMTzgeG/oa:: :'s/. . .
PROPOSITIO X. COROLLARIUM.
...7?:ozZ?y:ca/:o7::'Z7?:s. Ao.??: ...e:ge?:scAMppe7: /?es/aa/.
esse SM/7S/o.7?/:Me. . . i?e/Og'777^ —- De777 0 77^/7'/7/70 —-.
?Fa7:/ /?e/ z:/?: oa:: se//s/M7?G/:g/?e:'/. . .
PROPOSITIO XII.
. . .??MoeZ a /)^e:?/e 7:07: pe?'- . . . '/ we/A ??:'e/ oa:? c/e z:'e/ /7eg7*e/?e7?. tsa/ woT-G/e?:,
c:p?M/M7-. 0/ Z077&7' /f/7/ C^/7/7r Cf/ ee77 /fe77A^ee/!/ 777&
Z7e^z&
LEMMA VII. SCHOLIUM.
. . . :/e coT-poT-e eo? /?/-o/esso /7ezo7:G/e7-/:/'A' 0/777 C^e ^/o//e, 0/ oa:? '/ /:g/?aM7?:
age/'e,... Ze/?M7?//eZe7:,...
CARL GBBHARDT:
...eaMsae..., a ^M/Aas
/;<S7Y' po/M?'/, /;07?3E71SS
C077777?M7?7'aAaecp7'MS/Md!7-
cm M?::7?:aG/oe7'/e7'e7:/,. . .
...007'ZGK2A:e77.., c/oo7'7/e(T'e/A:e7?3!e7??e7?sc/?e7:
^ocA zeer wemz!g, /en op^zcA/ 0/777 V geAee^
ZT^eTZ^cAe/z/Af^e^^C/cA/?/eze ge7??.e7?e ooo7-o'o7-<iee/e77
/?e&&e7? /co7?7:e7: /?e7?:e7'A'e7:. . .
...SM&Za/M :g7:o7'M7:/:M,.o/s 7?:e7? c/' 07?H?e/e7:Ae:'/, o/ ^zeoeT' ^O/Aez/
wec/:7:ee7?:/...
. . . e/ :7?:Mg:7:M/:o7:e77: p?-o . . . e?: /// /^eze //Z^eeMc/Zg' TM/e//, e/Z /too.T' oooT*
?77/e//ec/:: cap:'::7:/... 007*5/07:/ 7:e7?:e7:,...
PARS SECUND?V DEFINITIO VII.
(^Moe/ s: p/?:7'M 77?//:'o://MM A'?: :7:c/:'e7: oee/ 07?e/ee/:ge7: — 77:G/:'o:c/MM —, 0/ ^e-
:':: M?:M MC/:o7?e 7/M co7?c?:7'- Z07Zcfe/*e/'/. — 6'777^77^/77'7/7 — 77? ^e/: K'e/'/i'T.ng ?'??
7*M7:/,. . . c/:e7' ooegeT: /e ^M7?:e7: /:07?:e7:, . . .
AXIOMA II.
/7o?7:o cog:/a/. De 7?:e7:sc/: e/e7:A'// 0/ %72&7\$, Wy We/e77 7^/7/ W?/
c^eTz/cezz — Tlfo^z cogz/c/zz/^z —.
AXIOMA V.
#M//MS TTS SZTZgM/MT-eS p7'Me-
/e7* co7*po7*M, e/ cog:/M7?c/:
7?:oe/os, se7?/:7??,MS, 7?ec pe?*-
c:p:??:M5.
IFy geooe/e:: e7: /?e7?:e7'Ae7: gee7: /?ezo7??/e7*e e/:'7?ge7?,
0/ 7/z'e/^ 07777 C^e g'e77/7/77777'/fe 7777-/77777' - TV77-
/777*77 7777/777'77/77. —, c/M?: /?'g/?M7??e7?, e7? MM/lze?:
PM7?e/e7:Ae7:.
PROPOSITIO IX. DEMONSTRATIO.
. . . %MM/e7:MS o/:o cog:/M7?c/:' . . . 0007' zo oee/ /?y MM7?ge7?:e7'A/ w?07'// 77:e/ ee7: M7:G/e7*e
7?:oc/o M//ec/z:s co7:s:'G/e7-M- AepMM/e/e w:'/ze 0M7? z/e?;Ae7: aM7?geG/aM7:/ 0/777 V coe//z
/M7*, e/ /?M/MS e/:M77:, z^MM/e- Coc^ 00/c OOCZOC/A: 7^, ooo?* zo oee/ /:?/ 7?:e/ ee::
7??:s M/:*o a//ec/?:s es/,. . . a7?//e7'e /?epMM/c/e nA/ze 0M7? e/e7?Ae7: MMTzgeG/oa:: :'s/. . .
PROPOSITIO X. COROLLARIUM.
...7?:ozZ?y:ca/:o7::'Z7?:s. Ao.??: ...e:ge?:scAMppe7: /?es/aa/.
esse SM/7S/o.7?/:Me. . . i?e/Og'777^ —- De777 0 77^/7'/7/70 —-.
?Fa7:/ /?e/ z:/?: oa:: se//s/M7?G/:g/?e:'/. . .
PROPOSITIO XII.
. . .??MoeZ a /)^e:?/e 7:07: pe?'- . . . '/ we/A ??:'e/ oa:? c/e z:'e/ /7eg7*e/?e7?. tsa/ woT-G/e?:,
c:p?M/M7-. 0/ Z077&7' /f/7/ C^/7/7r Cf/ ee77 /fe77A^ee/!/ 777&
Z7e^z&
LEMMA VII. SCHOLIUM.
. . . :/e coT-poT-e eo? /?/-o/esso /7ezo7:G/e7-/:/'A' 0/777 C^e ^/o//e, 0/ oa:? '/ /:g/?aM7?:
age/'e,... Ze/?M7?//eZe7:,...