Encyclopaedia Britannica, 11th Edition,"Equation" to "Ethics", volume 9, Slice 7

A comprehensive scientific publication written in the early 20th century. This volume serves as a section of the larger 11th Edition of the Encyclopaedia Britannica, providing in-depth articles on a range of topics, from mathematical equations to ethical theories. The text leans towards mathematical and scientific discourse, offering insights into the nature of equations and their solutions. The opening of this volume begins with a detailed discussion about equations, explaining their significance and classification within mathematics. It defines an equation as a statement of equality between two quantities and elaborates on the different types of equations, including linear, quadratic, cubic, and biquadratic forms, as well as discussing historical developments in the theories behind these equations. The text introduces various mathematical concepts, methods for solving equations, and provides examples to clarify the definitions, making it a valuable reference for those looking to deepen their understanding of mathematical principles.