ERRATA IN VOL. III. Page 17, line 8 from bottom, for ellipse read hyperbola. 32, line 11 from bottom, for three read four. 49, line 2 from top, for in c, read in c'. 56, line 4 from bottom, for triangles read angles. 61, table, art. 17, for o put cyphers, and for sines read signs. 74, line 17, for sum read same sum. 92, line 16, for substracting read subtracting. 116, lines 6, 7, 11 from bottom, for E read ɛ'. 121, bottom line of note, for measures read measurers. 144, line 11, form sin. I read m3 sin. l. 157, line 11 from bottom, for th. 4, cor. 1 read th. 2, cor. 1. bottom line, dele + before 33° 36′ 34′′. 158, line 2, for second read first. 216, bottom line, for sin. 2u read cos. 2u. 219, line 17, for af read ef. 267, line 5, for LKN read LKS. 276, line 5 from bottom, for analogiee read analogy. 277, line 6 from bottom, for appression read expression. 284, line 15 from bottom, for 2922 read 2920. A COURSE OF MATHEMATICS, &c. CHAPTER I. CONTINUATION OF THE CONIC SECTIONS. IN the year 1787 was published, by order of the Master General of the Ordnance, for the use of the Royal Military Academy, a volume of miscellaneous exercises, which had, for many preceding years, been employed in manuscript, in the education of the cadets in the academy. The first and principal article in the contents of that volume, was an extensive geometrical treatise on Conic Sections, treated in a new and a more methodical, as well as easier way, than had been usual. In the year 1798, when the 2d volume of the Academical Course was first published, by order of the Master General also, the leading propositions of that treatise on Conic Sections were introduced into it.-And now, on the further extension of the Course, by order of his lordship the present Master General the remaining propositions, of the said first treatise of Conics, are introduced into this 3d volume. It will be observed that the theorems or propositions in this volume, are numbered in the regular succession from the in the 2d volume, in each of the three sections, commencing here, in the 3d volume, with the number next following the last in the 2d volume, so as to form these propositions in both VOL. III. those B |