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uch pains have been taken to trace the origin of ideas, often obscurely enunciated long before they came to resound through the scientific world, and to give to each individual discoverer, strictly and impartially, his due. Prominence has also been assigned to the biographical element, as underlying and determining the whole course of human endeavour. The advance of knowledge may be called a vital process. The lives of men are absorbed into and assimilated by it. Inquiries into the kind and mode of the surrender in each separate case must always possess a strong interest, whether for study or for example. The acknowledgments of the writer are due to Professor Edward S. Holden, director of the Washburn Observatory, Wisconsin, and to Dr. Copeland, chief astronomer of Lord Crawford's Observatory at Dunecht, for many valuable communications. London, _September_, 1885. CONTENTS _INTRODUCTION_ page Three Kinds of Astronomy--Progress of the Science during the Eighteenth Century--Popularity and Rapid Advance during the Nineteenth Century 1 PART I _PROGRESS OF ASTRONOMY DURING THE FIRST HALF OF THE NINETEENTH CENTURY_ CHAPTER I FOUNDATION OF SIDEREAL ASTRONOMY State of Knowledge regarding the Stars in the Eighteenth Century-- Career of Sir William Herschel--Constitution of the Stellar System-- Double Stars--Herschel's Discovery of their Revolutions-- His Method of Star-gauging--Discoveries of Nebulae--Theory of their Condensation into Stars--Summary of Results 9 CHAPTER II PROGRESS OF SIDEREAL ASTRONOMY Exact Astronomy in Germany--Career of Bessel--His _Fundamenta Astronomiae_--Career of Fraunhofer--Parallaxes of Fixed Stars--Translation of the Solar System--Astronomy of the Invisible--Struve's Researches in Double Stars--Sir John Herschel's Exploration of the Heavens--Fifty Years' Progress 27 CHAPTER III PROGRESS OF KNOWLEDGE REGARDING THE SUN Early Views as to the Nature of Sun-spots--Wilson's Observations and Reasonings--Sir William Herschel's Theory of the
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