[38] See Book II. Ch. 3. of this treatise.
[40] At the end of his Optics. in Qu. 21.
[41] See the same treatise, in Advertisement 2.
[44] Princ. Philos. L. II. prop. 24. corol. 7. See also B. II. Ch. 5. § 3. of this treatise.
[45] How this degree of elasticity is to be found by experiment, will be shewn below in § 74.
[46] In oper. posthum de Motu corpor. ex percussion. prop. 9.
[49] These experiments are described in § 73.
[51] Chap. 1. § 25, 26, 27, compared with § 15, &c.
[53] See Euclid’s Elements, Book XII. prop. 13.
[56] Lucas Valerius De centr. gravit. solid. L. I. prop. 2.
[65] Hugen. Horolog. oscillat. pag. 141, 142.
[66] See Hugen. Horolog. Oscillat. p. 142.
[77] See Newton, princip. philos. pag. 9. lin. 30.
[79] Renat. Des Cart. Princ. Philos. Part. II. § 25.
[87] viz. His doctrine of prime and ultimate ratios.
[97] Newt. Princ. L. II. prop. 2; 5, 6, 7; 11, 12.
[102] Newton. Princ. Lib II. prop 10. in schol.
[107] See B. II. Ch 6. § 7. of this treatise.
[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.
[115] Princ. philos. Lib. II. prop. 23, in schol.
[116] Princ. philos. Lib. II. prop. 33. coroll.
[126] Princ. philos. Lib. II. Prop. 38, compared with coroll. 1 of prop. 35.
[135] Vid. Newt. princ. in schol. to Lem. 7, of Lib. II. pag. 341.
[137] See Princ. philos. Lib. II. prop. 34.
[138] Vid. Princ. philos. Lib. II. Lem. 5. p. 314.
[141] Newt. Princ. Lib. II. prop. 40, in schol.
[148] Philos. princ. mathem. Lib. II. prop. 2. & schol.
[150] Philos. princ. prop. 52. coroll. 4.
[166] See Newton. Princ. Lib. III. prop. 13.
[170] Princ. philos. Lib. I. prop. 58. coroll. 3.
[173] Newton, Princ. Lib. III. pag. 390,391. compared with pag. 393.
[177] Newt. Princ. philos. Lib. III. pag. 390.
[178] Newt. Princ. philos. Lib. III. pag. 391, 392.
[180] Newt. Princ. philos. Lib. III. pag. 391.
[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.
[187] Newton’s Princ. philos. Lib. III. prop. 22, 23.
[188] Newton. Princ. Lib. I. prop. 66. coroll. 7.
[189] Menelai Sphaeric. Lib. I. prop. 10.
[190] Vid. Newt. Princ. Lib. I. prop. 66. coroll. 10.