New Elements Of Mathematics: Or Euclid Corrected, Containing Plane Geometry, General Investigation Of Areas, Surfaces, And Solids (1773)

New Elements of Mathematics: Or Euclid Corrected, Containing Plane Geometry, General Investigation of Areas, Surfaces, and Solids is a book written by John Muller and published in 1773. The book is a revised version of Euclid's Elements, a classic work on geometry. Muller's version corrects and expands upon Euclid's work, adding new elements and insights to the field of mathematics.The book is divided into three sections: plane geometry, general investigation of areas, and surfaces and solids. In the first section, Muller covers the basics of plane geometry, including points, lines, angles, triangles, and circles. He also introduces new concepts such as the theory of parallels and the properties of similar figures.The second section focuses on the general investigation of areas, including the properties of polygons, the measurement of angles, and the calculation of areas. Muller also introduces the concept of the quadrature of the circle, which involves finding a square with the same area as a given circle.The final section of the book covers surfaces and solids, including the properties of spheres, cones, cylinders, and other three-dimensional shapes. Muller also introduces the concept of the center of gravity and its application to the calculation of the volume of solids.Overall, New Elements of Mathematics: Or Euclid Corrected, Containing Plane Geometry, General Investigation of Areas, and Surfaces and Solids is a comprehensive and influential work on mathematics that has had a lasting impact on the field.Greatest And Least Quantities; Trigonometry; Logarithms; Motion, Uniform, Retarded, Accelerated, Application, Projectiles, Fluids, Compound, Fluxions. To Which Is Prefixed The First Principles Of Algebra, By Way Of Introduction.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.