An Elementary Treatise on Analytical Geometry (Classic Reprint)

THE original,vork of 1'1. BIOT was for many years the Text nouk in the U. S. IVlilitary Acauemy at "Vest Point. It is justly regarded as the best elementary treatise on Analytical Geometry that has yet appp.aI'cd. The general system of Diot has been strictly followed. A short chapter on the principal Transcendental Curves has been added, in 'which the generation of these Curves and the method of finding their equations are given. A Table of Trigonometrical Formulm iq ~lso appended, to aid the student in the course 01 his study. The design of the followlng pages has been to prepare a Text Book, which may be readily embraced in the usual Collegiate Course, ,vithout interfering 'with the time devoted to other subjects, ,vhilc at the same time they contain a cOII~prchensivo treatise on the subject of ,yhich they treat. V1.'rgi71ia lJlilitary Institute, JULY, 1840.

Table of Contents

CHAPTBR I; PRELDIIXARY OBSERVATIO:XS; 13; Of Points and a RigM Line 171 a; Plalle; Sp:lce dell ned • • • • • • • • ••• • • ••• 35; Po~itkm vf a P0illt in n PlO1ne de-; lermi net! • • • • • • •• 35; Unit of ~r(':lsurc •••••••• t Page; Construcli'>lI of Eq uatinns • • • 14; Conslruclitln ur Bquutions of tbe Ahscis~as lind Ortiillates defined •• 35; 20