[98] Prop. 3; 8, 9; 13, 14. [99] Prop. 4. [100] Prælect. Geometr. pag. 123. [101] Newton. Princ. Lib. II. prop. 10. [102] Newton. Princ. Lib II. prop 10. in schol. [103] Torricelli de motu gravium. [104] Ch. 2 § 85, &c. [105] Newt. Princ L. II. sect 6. [106] L. II. sect. 4. [107] See B. II. Ch 6. § 7. of this treatise. [108] Lib. I. sect. 10. [109] De la Pesanteur, pag. 169, and the following. [110] Newton. Princ. L. II. prop 4. schol. [111] See his Tract on the admirable rarifaction of the air. [112] Book II. Ch. 6. [113] Princ. philos. Lib. II. prop. 23. [114] Book I. Ch. 2. § 30. [115] Princ. philos. Lib. II. prop. 23, in schol. [116] Princ. philos. Lib. II. prop. 33. coroll. [117] Lib. II. Ch. 5. [118] Ibid. Prop. 35. coroll. 2. [119] Ibid. coroll. 3. [120] Vid. ibid. coroll. 6. [121] In § 2. [122] Princ. philos. Lib. II. Prop. 35. [123] Ibid. [124] Id. [125] h. 1. § 29. [126] Princ. philos. Lib. II. Prop. 38, compared with coroll. 1 of prop. 35. [127] L. II. Lem. 7. schol. pag. 341. [128] Lib. II. Prop. 34. [129] Lib. II. Lem. 7. p. 341. [130] Schol. to Lem. 7. [131] Prop. 34. schol. [132] Ibid. [133] Ibid. [134] Book II. Ch. I. § 6. [135] Vid. Newt. princ. in schol. to Lem. 7, of Lib. II. pag. 341. [136] Sect. 17. of this chapter. [137] See Princ. philos. Lib. II. prop. 34. [138] Vid. Princ. philos. Lib. II. Lem. 5. p. 314. [139] Lemm. 6. [140] Ibid. 7. [141] Newt. Princ. Lib. II. prop. 40, in schol. [142] Lib. II. in schol. post prop. 31. [143] Book I. ch. 2 § 82. [144] Book I. Ch. 3 § 29. [145] Ch. 3. of this present book. [146] Ch. 4. [147] In Princ. philos. part. 3. [148] Philos. princ. mathem. Lib. II. prop. 2. & schol. [149] Ibid. prop 53. [150] Philos. princ. prop. 52. coroll. 4. [151] Ibid. [152] Coroll. 11. [153] See ibid. schol. post prop. 53. [154] Princ. philos. pag. 316, 317. [155] Ch. I. § 7. [156] Book I. Ch. 3. [157] Book I. Ch. 3. § 29. [158] Ibid. Ch. 2. § 30, 17. [159] Book I. Ch. 3. [160] Ch. 1. § 7. [161] Chap. 5. § 8. [162] Princ. pag. 60. [163] Street, in Astron. Carolin. [164] See Chap. 5. §9, &c. [165] In the foregoing page. [166] See Newton. Princ. Lib. III. prop. 13. [167] Chap. 5. § 10. [168] Princ. Lib. I. prop. 60. [169] Book I, Chap. 2. § 80. [170] Princ. philos. Lib. I. prop. 58. coroll. 3. [171] Newt. Optics. pag. 378. [172] Newton. Princ. Lib. III. prop. 1. [173] Newton, Princ. Lib. III. pag. 390,391. compared with pag. 393. [174] Book I. Ch. 3. § 29. [175] Princ. philos. Lib. I. prop. 4. [176] Ibid. coroll. [177] Newt. Princ. philos. Lib. III. pag. 390. [178] Newt. Princ. philos. Lib. III. pag. 391, 392. [179] Book III. Ch. 4. [180] Newt. Princ. philos. Lib. III. pag. 391. [181] Ibid. pag. 392. [182] See Book I. Ch. 2. § 60, 64. [183] Book I. Ch. 2. § 17. [184] See Ch. II. § 6. [185] The second of the laws of motion laid down in Book I. Ch. 1. [186] Newton. Princ. philos. Lib. III. prop. 6. pag. 401.