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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[41. Lect. XI.]
[42. APPENDICUL A.]
[43. Lect. XII.]
[44. APPENDICULA 1.]
[45. Præparatio Communis.]
[46. APPENDICULA 2.]
[47. Conicorum Superſicies dimetiendi Metbodus.]
[48. Exemplum.]
[49. Prop. 1.]
[50. Prop. 2.]
[51. Prop. 3.]
[52. Prop. 4.]
[53. APPENDICULA 3.]
[54. Problema I.]
[55. Exemp. I.]
[56. Exemp. II.]
[57. Probl. II.]
[58. Exemp. I.]
[59. _Exemp_. II.]
[60. _Probl_. III.]
[61. _Probl_. IV.]
[62. _Probl_. V.]
[63. _Probl_. VI.]
[64. _Probl_. VII]
[65. _Probl_. VIII.]
[66. _Probl_. IX.]
[67. _Probl_. X.]
[68. _Corol. Theor_. I.]
[69. _Theor_. II.]
[70. _Theor_. III.]
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GP _a_, HP δ ità diſponantur, ut latera PG, PH ſibi congruant (un-
de major angulus GP _a_ minorem HP δ comprehendet) tum centro P
per δ deſcribatur circulus E δ F ipſas PG, P _a_ ſecans punctis F, E;
item
connexâ EH, centro H per δ tranſeat circulus HMN ipſas HP, HE
ſecans punctis N, M;
denuò connexa E δ cum PG conveniat in L.
Eſtque jam ang. _a_ P δ. ang. δ PH: : ſector EP δ. ſector δ PF & gt;
triang.
EP δ. triang. δ PL: : Eδ. δ L : : triang. EH δ. δ HL & gt;
ſector MH δ.
ſector δ HN : : ang. EH δ. ang. δ HP. eſt igi-
tur ang.
_a_ P δ. ang. δ PH & gt; ang. EH δ. ang. δ HP. ergóque
compoſitè ang.
_a_ PG. ang. δ PH & gt; ang. EHP. ang. δ HP. per-
mutandóque ang.
_a_ PG. ang. EHP & gt; ang. δ PH. ang. δ HP. eſt
autem HP.
PE : : HP. P δ : : I. R : : GP. P _a_. adeoque EH ad
_a_ G parallela;
vel ang. EHP = ang. _a_ GP. ergò erit ang. _a_ PG.
ang.
_a_ GP & gt; ang. δ PH. ang. δ HP. hoc eſt ang. _a_ BG, _a_ BP
&
gt; ang. δ BH. ang. δ BP. vel componendo ang. GBP. ang. _a_ BP
&
gt; ang HBP. ang. δ BP. Quod erat demonſtrandum.

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