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

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

Table of figures

[141] Fig. 22.* 19. Maii.

[142] Fig. 23.* 20. Maii.

[143] Fig. 24.* c a * 27. Maii.

[144] Fig. 25.c * 31. Maii. a *

[145] Fig. 26.* 13. Iun.

[146] Fig. 27.* 16. Ian. 1656.

[147] Fig. 28.* 19. Febr.

[148] Fig. 29.* 16. Mart.

[149] Fig. 30.* 30. Mart.

[150] Fig. 31.* 18. Apr.

[151] Fig. 32.* 17. Iun.

[152] Fig. 33.* 19. Oct.

[153] Fig. 34.* 21. Oct.

[154] Fig. 35.* 9. Nov.

[155] Fig. 36.* 27. Nov.

[156] Fig. 37.* 16. Dec.

[157] Fig. 38.* 18. Ian. 1657.

[158] Fig. 39.* 29. Mart.

[159] Fig. 40.* 30. Mart.

[160] Fig. 41.* 18. Maii.

[161] Fig. 42.* 19. Maii.

[162] Fig. 43.* 17. Dec.

[163] Fig. 44.* 18. Dec.

[164] Fig. 45.* 27. Dec.

[165] Fig. 46.* 11. Mart 1658.

[166] Fig. 47.* 16. Mart.

[167] Fig. 48.* 23. Mart.

[168] Fig. 49.* 3. Apr.

[169] Fig. 50.* 10. Nov.

[170] Fig. 51.* 16. Ian. 1659.

184454VERA CIRCULI (qui exempli gratia ſint G H, E F) in hyperbola aſymptoto
O A paralleli; & inveniatur ſpatium hyperbolicum EGHF
per hujus 32, quod breviter, fit quoniam G H, E F, parum
inter ſe differunt. ex ſuppoſitione, unius numeri, exempli
gratia G H, datur logorithmus, & proinde datur ejus logo-
rithmi ratio ad logorithmum denarii arbitrarium, quæ ea-
dem eſt (ex hactenus demonſtratis) cum ratione ſpatii hyper-
bolici G I K H ad ſpatium hyperbolicum L I K M, datur au-
tem ex hujus 32 ſpatium L I K M; & ideo innoteſcit quoque
ſpatium I K H G, cumque detur ſpatium E G H F, innote-
ſcit quoque E I K F; & proinde datur logorithmus numeri
compoſiti E F; cumque ex ſuppoſitione dentur logorithmi
omnium numerorum numerum E F componentium, exce-
pto numero illo primo cujus logorithmus deſideratur, dabi-
tur quoque illius numeri primi logorithmus, quem invenire
oportuit. Exempli gratia, propoſitum ſit invenire logorith-
mum numeri binarii, ſuppoſito arbitrario numeri denariilo-
gorithmo, unitate cum 25 cyphris. duo numeri compoſiti
parum inter ſe differentes ſunt 1000 & 1024; numeri 1000
datur logorithmus, nempe triplum ſpatii 23025850929940-
456240178700 in antecedente inventi, poſito ſcilicet illo
ſpatio numeri denarii logorithmo arbitrario; numeri 1024
ignoratur logorithmus, eſt enim compoſitus ex ſolo numero
primo 2, nempe ejus decies multiplicatus eſt. applicentur hi
numeri compoſiti in hyperbola, ut dictum eſt; ſitque G H
1000, E F 1024: ſed quoniam I K unitas eſt 1000000000000,
erit G H 1000000000000000 & E F 1024000000000000,
& per hujus 32 inveniatur ſpatium E G H F 237165266173-
160421183067 (ſeriem convergentem hic appono,

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