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

[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.

[171] Fig. 52.12. Febr. *

[172] Fig. 53.* 24. Febr.

[173] Fig. 54.25. Febr. *

[174] Fig. 55.14. Mart. *

[175] Fig. 56.16. Mart. *

[176] Fig. 57.* 21. Mart.

[177] Fig. 58.* 22. Mart.

[178] Fig. 59.26. Mart. *

[179] Pag. 574.TAB. XLIX.Fig. 2.

[180] Fig. 1.C K O B H N G M S * F D A L E

157430VERA CIRCULI eodem modo, quo analyticè componitur eadem quantitas ex
terminis ba2 + b2a, 2b2a; addendo, ſubtrahendo, multi-
plicando & dividendo terminos a3 + a2b, ab2 + b3 & radices
ex factis extrahendo, eadem fieret quantitas ac ſi eodem mo-
do adderentur, ſubducerentur, multiplicarentur & divide-
rentur termini ba2 + b2a, 2b2a, & radices eædem ex factis
extraherentur, ſed poſterius fieri non poteſt, ergo nec prius;
minorem ſic probo, ſi eadem fieret quantitas ex additione,
ſubductione, multiplicatione, diviſione & radicum extractio-
ne terminorum a3 + a2b, ab2 + b3, quæ fieret ex eadem ad-
ditione, ſubductione, multiplicatione, diviſione & radicum
extractione terminorum ba2 + b2a, 2b2a; tunc addendo æ-
quales quantitates terminis a3 + a2b, ba2 + b2a, vel ab illis
ſive ipſorum factis æquales quantitates ſubducendo, vel il-
los ſive ipſorum factos æqualibus quantitatibus multiplican-
do vel dividendo, vel denique illos ſive ipſorum factos eo-
dem modo in ſe multiplicando, vel ex iisdem easdem radi-
ces extrahendo, hasce analyticas operationes aliquo modo
mutando, reiterando vel utrumque vel neutrum faciendo,
fieri poſſent duo ultima producta, nempe unum à termino
ab2 + b3 & alterum à termino 2b2 a; ita ut ultimum produ-
ctum ex termino a3 + a2 b cum ultimo producto ex termino
ab2 + b3 additum, ſubductum, multiplicatum, diviſum, &
ex facto radice aliqua extracta (haſce analyticas operationes
aliquo modo mutando, reiterando vel utrumque vel neu-
trum faciendo) eandem efficiat quantitatem quam efficit ul-
timum productum ex termino ba2 + b2a cum ultimo produ-
cto ex termino 2b2a eodem omnino modo additum, ſubdu-
ctum, multiplicatum, diviſum, & ex facto eadem etiam ra-
dice extracta, haſce analyticas operationes eodem omnino
modo mutando, reiterando vel utrumque vel neutrum fa-
ciendo; ſed poſterius eſt abſurdum ergò & prius: ſequela
majoris patet ex octava definitione hujus, minorem ſic pro-
bo, in termino a3 + a2 b reperitur poteſtas ipſius a nempe
a3, quæ eſt altior ulla poteſtate ejusdem a in termino
ba2 + b2 a; & proinde terminos a3 + a2 b, ba2 + b2a,

Text layer

Text normalization

Search