8531.aaa31 DARLEY'S SCIENTIFIC LIBRARY. FOR THE USE OF SCHOOLS, PRIVATE STUDENTS, ARTISTS, AND MECHANICS. 1. A SYSTEM OF POPULAR GEOMETRY. Containing in a few Lessons so much of the Elements of Euclid as is necessary and sufficient for a right understanding of every Art and Science in its leading Truths and general Principles. By GEORGE DARLEY, A.B. Fourth Edition. 4s. 6d. cloth. 2. COMPANION TO THE POPULAR GEOMETRY. In which the Elements of Abstract Science are familiarized, illustrated, and rendered practically useful to the various purposes of Life, with numerous Cuts. Second Edition. 4s. 6d. cloth. 3. A SYSTEM OF POPULAR ALGEBRA. With a Section on Proportions and Progressions. Third Edition. 4s. 6d. cloth. 4. A SYSTEM OF POPULAR TRIGONOMETRY, both Plane and Spherical; with Popular Treatises on Logarithms, and the Application of Algebra to Geometry. Second Edition. 3s. 6d. cloth. "For Students who only seek this limited knowledge of these Sciences, there are perhaps no Treatises which can be read with more advantage than Darley's Popular Geometry and Algebra."-Library of Useful Knowledge, Article 'Mechanics." THE GEOMETRICAL COMPANION, IN WHICH THE ELEMENTS OF ABSTRACT GEOMETRY ARE FAMILIARISED, ILLUSTRATED, AND RENDERED PRACTICALLY USEFUL TO THE VARIOUS BY GEORGE DARLEY, A.B. AUTHOR OF A SYSTEM OF POPULAR GEOMETRY, ALGEBRA, THE SECOND EDITION. LONDON: PRINTED FOR TAYLOR AND WALTON, BOOKSELLERS AND PUBLISHERS TO THE UNIVERSITY OF LONDON, UPPER GOWER STREET. 1841. PREFACE. To exhibit the scope and tendency of the present Treatise we need only insert here the PROSPECTUS which has been some time before the public: "Each volume of the Scientific Library proposes to develope the Elements of a Science, or Sciences, in a brief, systematic, demonstrative form, so that the entire Series may supply a body of Mathematical and Physical Knowledge complete, but in nothing superfluous. This Series will exhibit the abstract beauty and utility of Science, which it would not be judicious to impair by irrelevant matters. But there is likewise a practical beauty and utility in Science, which should be brought home to men's business and bosoms. To accomplish this, we design publishing a Set of Companions to the Sciences, in which the abstract principles already developed in our first Series will be applied to practice, exemplifying their value in improving the worldly condition of man, as well as his intellectual. By means of this Companion Library we shall be enabled at once to confirm its readers in the Elements of our first Series, to instruct them in the method of drawing practical benefit from their acquired knowledge, and to furnish a ready answer to the often-repeated inquiryWhat is the use of abstract Science ?" |