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

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

Table of contents

[Item 1.]

[2.] Imprimatur,

[3.] LECTIONES _OPTICÆ & GEOMETRICÆ:_ In quibus PHÆNOMENωN OPTICORUM Genuinæ _Rationes_ inveſtigantur, ac exponuntur: ET _Generalia_ Curvarum Linearum _Symptomata declarantur_. Auctore Isaaco Barrow, Collegii _S S. Trinitatis_ in Academia _Cantab._ Præfecto, Et _SOCIETATIS REGIÆ_ Sodale.

[4.] LONDINI, Typis _Guilielmi Godbid_, & proſtant venales apud _Robertum Scott_, in vico Little-Britain. 1674.

[5.] SPECTATISSIMIS VIRIS Roberto Raworth & Thomæ Buck ARMIGERIS;

[6.] Iſaac Barrow

[7.] Epistola ad LECTOREM.

[8.] Epiſtola; in qua Operis hujus Argumen-tum, & ſcopus brevitèr exponuntur.

[9.] Lect. I.

[10.] Lect. II.

[11.] Lect. III.

[12.] _Corol_. 1. Ang. _a_ BG. ang. _a_ BP > ang. δ BH. ang. δ BP. 2. Ang. _a_ BG. ang. PBG > ang. δ BH. PBH.

[13.] Lect. IV.

[14.] Lect.V.

[15.] Lect. VI.

[16.] Lect. VI I.

[17.] Lect. VIII.

[18.] Lect. IX.

[19.] Lect. X.

[20.] Lect. XIV.

[21.] Lect. XV.

Page: 122 (104)

[22.] APPENDICVLA.

Page: 126 (108)

[23.] Lect. XVI.

Page: 129 (111)

[24.] Lect. XVII.

Page: 135 (117)

[25.] Lect. XVIII.

Page: 139 (121)

[26.] ERRATA.

Page: 145 (127)

[27.] Benevolo Lectori.

[28.] Lectio I.

[29.] Lect. II.

[30.] Lect. III.

27784

Eæemp. V.

Sit DEB _Quadrans Circuli_, quem tangat recta BX; tum linea
11Fig. 120,
121. AMO talis, ut in recta AV utcunque ſumptâ AP, quæ arcum BE
adæquet, erectáque PM ad AV normali, ſit PM æqualis arcûs BE
tangenti BG.

Sumpto arcu BF = AQ: & ductâ CFH; demiſſis EK, FL
ad CB normalibus; nominentur CB = _r_. CK = _f_: KE = _g_.
Et quoniam eſt CE. EK: : arc. EF. LK; vel CE. EK: : QF.
LK; hoc eſt _r_. _g_: : _e_. {_ge_/_r_} = LK; erit CL = _f_ + {_ge_. /_r_} Et LF
= √ _rr_ - _ff_ - {2 _fge_/_r_} = √ _gg_ - {2 _fge_. /_r_}

Eſt autem CL. LF: : (CB. BH: :) CB. QN. hoc eſt,
_f_ + {_ge_. /_r_} √ _gg_ - {2 _fge_/_r_}: : _r_. _m_ - _a_. vel (quadrando) _ff_ +
{2 _fge._ /_r_} _gg_ - {2 _fge_/_r_}: : _rr._ _mm_ - 2 _ma_. Unde (dimiſſis quæ
oportet) obtinetur æquatio, _rfma_ = _grre_ + _gmme_. unde
ſubſtituendo, eſt _rfmm_ = _grrt_ + _gmmt_. vel {_rfmm_/_grr_ + _gmm_} = _t_.
ſeu (quoniam eſt _m_ = {_rg_/_f_}) erit _t_ = {_rr_/_rr_ + _mm_} _m_ = {CB_q_/CG_q_} BG =
{CK_q_/CE_q_} BG.

Hæc ſufficere videntur huic methodo elucidandæ.

Text layer

Text normalization

Search