Huygens, Christiaan, Christiani Hugenii opera varia; Bd. 2: Opera geometrica. Opera astronomica. Varia de optica

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186456VERA CIRCULI ut lectori compendium patefiat) ſeu logorithmus numeri 1{24/1000}
poſito logorithmo denarii arbitrario 23025850929940456-
240178700;
deinde eodem ſuppoſito logorithmo arbitrario
denarii, addatur logorithmus numeri 1000, ſeu triplus logo-
rithmi denarii, logorithmo numeri 1{24/1000}, eritque ſumma
logorithmus numeri 1024, cujus pars decima erit logorithmus
numeri binarii, pro eodem logorithmo denarii arbitrario,
nempe 6931471805599452914171917:
fiatque ut logorith-
mus numerii denarii 23025850929940456240178700 ad lo-
gorithmum numeri binarii correſpondentem 69314718055-
99452914171917, ita logorithmus numeri denarii arbitrarius
propoſitus nempe 100000000000000000000000000 ad lo-
gorithmum numeri binarii quæſitum 3010299956639811952-
405804, quem invenire oportuit:
eodem modo invenitur lo-
gorithmus ternarii 4771212547196624373502993, &
c.
Ut in promptu habeantur numeri illi compoſiti parum in-
ter ſe differentes pro unoquoque numero primo, hic tabel-
lam exhibeo pro numeris primis uſque ad 100, &
unam re-
gulam pro numeris primis inter 100 &
1000 & alteram pro
numeris primis ſupra 1000;
quæ omnia ita excogitata ſunt,
ut verus cujuscunque numeri primi logorithmus inveniri
poſſit correſpondens logorithmo arbitrario denarii 100000-
00000000000000000000 ex una ſola multiplicatione, dua-
bus diviſionibus &
una radicis quadratæ extractione, ultra
inconſiderabiles aliquot operatiunculas.
11
2 # 1000(3)10
" # 1024(10)2
3 # 32805 factus ex 5 & 6561(8)3
" # 32768(15) 2
7 # 2400 factus ex 3 & 32(5)2 & 25(2)5
" # 2401(4)7
11 # 9800 factus ex 2, 49(2)7 & 100(2)10
" # 9801 factus ex 121(2)11 & 81(4)3

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