Barrow, Isaac, Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur

Table of contents

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[51.] Prop. 3.
Page: 313 (120)
[52.] Prop. 4.
Page: 313 (120)
[53.] APPENDICULA 3.
Page: 314 (121)
[54.] Problema I.
Page: 314 (121)
[55.] Exemp. I.
Page: 314 (121)
[56.] Exemp. II.
Page: 315 (122)
[57.] Probl. II.
Page: 315 (122)
[58.] Exemp. I.
Page: 315 (122)
[59.] _Exemp_. II.
Page: 316 (123)
[60.] _Probl_. III.
Page: 316 (123)
[61.] _Probl_. IV.
Page: 317 (124)
[62.] _Probl_. V.
Page: 317 (124)
[63.] _Probl_. VI.
Page: 318 (125)
[64.] _Probl_. VII
Page: 318 (125)
[65.] _Probl_. VIII.
Page: 319 (126)
[66.] _Probl_. IX.
Page: 319 (126)
[67.] _Probl_. X.
Page: 320 (127)
[68.] _Corol. Theor_. I.
Page: 321 (128)
[69.] _Theor_. II.
Page: 321 (128)
[70.] _Theor_. III.
Page: 321 (128)
[71.] _Theor_. IV.
Page: 321 (128)
[72.] _Theor_. V.
Page: 322 (129)
[73.] _Theor_. VI.
Page: 323 (130)
[74.] _Theor_. VII.
Page: 323 (130)
[75.] Lect. XIII.
Page: 324 (131)
[76.] Æquationum Series prima.
Page: 324 (131)
[77.] _Notetur autem_,
Page: 325 (132)
[78.] Series ſecunda.
Page: 325 (132)
[79.] Not.
Page: 326 (133)
[80.] Series tertia.
Page: 326 (133)
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page |< < (126) of 393 > >|
319126
_Aliter_. Fiat PZ = √ 2 APM. & ſit ZO curvæ AZK perpendi-
cularis; erit PM = PO.
_Exemp_. Sit AP = x; & APM = {x3/r}. quare PZ = √ {2 x3/r}
unde reperietur PO = {3 x x/r} = PM; & rurſus AMB
erit _Parabola_.
_Probl_. VIII.
Sit figura quævis ADB (rectis DA, DB, & linea AMB com-
11Fig. 190. prehenſa) & à Dutcunque projectâ rectâ DM, datum ſit ſpatium
ADM; oportet rectam DM definire.
Acceptâ quâpiam R, ſit DZ = {2 ADM/R}; & ZO curvæ AZK
perpendicularis; cui occurrat DH ad DM perpendicularis;
erit DM = √ R x DO.
_Aliter_. Sit DZ = √ 4 ADM; & ZO curvæ AZK perpen-
dicularis; cui occurrat DH ad DZ perpendicularis; erit DM
= √ DZ x DO.
_De figuris involutis & evolutis_ bellam σκέψιγ inſtituit _Præclarus Ge-_
_ometra D. Gregorius Aberd._ Alienæ meſſi nollem ego falcem meam
immittere, verùm liceat utcunque iſthuc pertinentes (aliud agenti quæ
mihi ſe ingeſſerunt) unam aut alteram obſervatiunculam his intexere.
_Probl_. IX.
Data fit figura quæpiam ADB (cujus _axis_ AD, _baſis_ DB) oper-
22Fig. 191. tet ei congruentem involutam exhibere.
_Centro_ C, intervallo quopiam CL deſcribatur _Circulus_ LXX; ſit
33Fig. 192. autem curva KZZ talis, ut pro lubitu ductâ rectâ MPZ ad BD

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