A Treatise on Mechanics

Kater, Dionysius Lardner

• Publisher: Science & Technology Publishing
• Year: 2025
• eBook ISBN:
  9782528119815
• Topic: Physical Sciences
• Subtopic: Science History

A Treatise on Mechanics, authored by O. T. Louis, is a comprehensive and systematic exploration of the fundamental principles and applications of mechanics, designed to serve both students and practitioners in the field of physical sciences and engineering. First published in the 19th century, this classic work delves deeply into the study of forces, motion, and the behavior of physical bodies under various conditions. The book is meticulously structured, beginning with the foundational concepts of statics, including the equilibrium of forces, the properties of levers, pulleys, and inclined planes, and the analysis of structures. It then transitions into the dynamics of particles and rigid bodies, covering topics such as velocity, acceleration, momentum, and the laws of motion as formulated by Newton. Throughout its chapters, A Treatise on Mechanics emphasizes mathematical rigor and clarity, providing detailed derivations, proofs, and numerous illustrative examples to aid understanding. The text is enriched with diagrams and practical problems, making it an invaluable resource for self-study as well as classroom instruction. The author also addresses advanced topics such as the center of gravity, the moment of inertia, the principles of work and energy, and the dynamics of rotating bodies, ensuring a thorough grounding in both theoretical and applied mechanics. Notably, the treatise reflects the pedagogical standards of its era, aiming to bridge the gap between abstract theory and real-world engineering challenges. It is suitable for readers with a foundational knowledge of mathematics and physics, and it remains relevant for those interested in the historical development of mechanical science. With its clear exposition and comprehensive coverage, A Treatise on Mechanics stands as a testament to the enduring importance of classical mechanics in the advancement of science and technology.

Table of contents

• A TREATISE ON MECHANICS,
• CONTENTS.
• CHAP. I. PROPERTIES OF MATTER—MAGNITUDE—IMPENETRABILITY—FIGURE—FORCE.
• CHAP. II. DIVISIBILITY—POROSITY—DENSITY—COMPRESSIBILITY—ELASTICITY—DILATABILITY.
• CHAP. III. INERTIA.
• CHAP. IV. ACTION AND REACTION.
• CHAP. V. THE COMPOSITION AND RESOLUTION OF FORCE.
• CHAP. VI. ATTRACTION.
• CHAP. VII. TERRESTRIAL GRAVITY.
• CHAP. VIII. OF THE MOTION OF BODIES ON INCLINED PLANES AND CURVES.
• CHAP. IX. THE CENTRE OF GRAVITY.
• CHAP. X. THE MECHANICAL PROPERTIES OF AN AXIS.
• CHAP. XI. ON THE PENDULUM.
• CHAP. XII. OF SIMPLE MACHINES.
• CHAP. XIII. OF THE LEVER.
• CHAP. XIV. OF WHEEL-WORK.
• CHAP. XV. OF THE PULLEY.
• CHAP. XVI. ON THE INCLINED PLANE, WEDGE, AND SCREW.
• CHAP. XVII. ON THE REGULATION AND ACCUMULATION OF FORCE.
• CHAP. XVIII. MECHANICAL CONTRIVANCES FOR MODIFYING MOTION.
• CHAP. XIX. OF FRICTION AND THE RIGIDITY OF CORDAGE.
• CHAP. XX. ON THE STRENGTH OF MATERIALS.
• CHAP. XXI. ON BALANCES AND PENDULUMS.
• INDEX.
• FOOTNOTES: