HISTORY OF MATHEMATICAL AND PHYSICAL SCIENCE FROM 1600 TO 1650.
State of Science in 16th Century 645
Tediousness of Calculations 645
Napier’s Invention of Logarithms 645
Their Nature 645
Property of Numbers discovered by Stifelius 645
Extended to Magnitudes 646
By Napier 646
Tables of Napier and Briggs 646
Kepler’s New Geometry 647
Its Difference from the Ancient 647
Adopted by Galileo 648
Extended by Cavalieri 648
Applied to the Ratios of Solids 648
Problem of the Cycloid 648
Progress of Algebra 649
Briggs--Girard 649
Harriott 649
Descartes 650
His Application of Algebra to Curves 650
Suspected Plagiarism from Harriot 650
Fermat 651
Algebraic Geometry not successful at first 652
Astronomy--Kepler 652
Conjectures as to Comets 652
Galileo’s Discovery of Jupiter’s Satellites 653
Other Discoveries by him 653
Spots of the Sun discovered 653
Copernican System held by Galileo 654
His Dialogues, and Persecution 654
Descartes alarmed by this 655
Progress of Copernican System 655
Descartes denies General Gravitation 655
Cartesian Theory of the World 655
Transits of Mercury and Venus 656
Laws of Mechanics 656
Statics of Galileo 657
His Dynamics 657
Mechanics of Descartes 658
Law of Motion laid down by Descartes 658
Also those of Compound Forces 659
Other Discoveries in Mechanics 659
In Hydrostatics and Pneumatics 659
Optics--Discoveries of Kepler 660
Invention of the Telescope 660
Of the Microscope 660
Antonio de Dominis 660
Dioptrics of Descartes--Law of Refraction 661
Disputed by Fermat 661
Curves of Descartes 661
Theory of the Rainbow 661