This classic textbook, first published in 1795, is a comprehensive introduction to Euclidean geometry. Written by three eminent Scottish mathematicians, John Davidsons, John Playfair, and William Wallace, it covers topics such as points, lines, angles, circles, and polygons, as well as more advanced topics such as conic sections and spherical geometry. This book is a timeless resource for anyone interested in the foundations of geometric reasoning. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.