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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[31.] Lect. IV.
Page: 222 (29)
[32.] Lect. VII.
Page: 249 (56)
[33.] Lect. VIII.
Page: 256 (63)
[34.] Lect. IX.
Page: 263 (70)
[35.] Lect. X.
Page: 268 (75)
[36.] Exemp. I.
Page: 274 (81)
[37.] _Exemp_. II.
Page: 275 (82)
[38.] _Exemp_. III
Page: 275 (82)
[39.] Exemp. IV.
Page: 276 (83)
[40.] Eæemp. V.
Page: 277 (84)
[41.] Lect. XI.
Page: 278 (85)
[42.] APPENDICUL A.
Page: 287 (94)
[43.] Lect. XII.
Page: 298 (105)
[44.] APPENDICULA 1.
Page: 303 (110)
[45.] Præparatio Communis.
Page: 303 (110)
[46.] APPENDICULA 2.
Page: 308 (115)
[47.] Conicorum Superſicies dimetiendi Metbodus.
Page: 310 (117)
[48.] Exemplum.
Page: 311 (118)
[49.] Prop. 1.
Page: 312 (119)
[50.] Prop. 2.
Page: 312 (119)
[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)
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Lect. VIII.
MIhi ſanè videor ( videbor & vobis, opinor ) quod irridebat
_ſapiensille Scurra, perquam exiguæ Civitati portas ingentes_
_extrnxiſſe_ Nec enim adhuc aliud quàm ad rem aliquanto propiùs eni-
timur. ad illam.
I. Hæcadſumimus. Si duæ lineæ ( OMO, TMT ) ſeſe con-
11Fig. 76,
77. tingant, angulosipſæ comprehendunt ( OMT ) rectilineo quovis an-
gulo minores. Et vice versâ: Si duæ lineæ ( OMO. TMT ) an-
gulos contineant quovis rectilineo minores, illæ ſeſe contingent _(_con-
tingentibus ſaltem æquipollebunt_)_.
Hujus _effati_ rationem jampridem _(_ni fallor_)_ attigimus.
II. Hinc; Si duas lineas OMO, TMT tertia quæpiam linea
PM P contingat, ipſæ etiam lineæ OMO, TMT ſeſe contin-
gent.
Nam quoniam lineæ OMO, PM P ſeſe contingunt, erit angulus
OM P quovis _rectilineo_ minor. Item, ob linearum TMT, PMP
_contractum_, erit _angulus_ TM P quovis etiam _rectilineo_ minor. Erit
igitur angulus TMO _rectilineo_ quovis minor. Unde lineæ OMO,
TMT ſe mutuo contingent.
III. Tangat recta FA curvam FX in F; ſitque poſitione data recta
FE; ſint item duæ curvæ EY, EZ tales, ut ductâ utcunque rectâ
22Fig 78. IL ad EF parallelâ ( quæ lineas expoſitas ſecet, ut vides ) ſit ſemper
intercepta KL æqualis interceptæ I G; etiam curvæ EY, EZ ſeſe
contingent.
Si non tangant, poteſt inter ipſas conſtitui angulus rectilineus, puta
BEC; hunc utcunque ſecet ad FE parallela I L; ſumatúrque G H
= BC, & connectatur F H; ſunt igitur è parallelis ad FE à

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