# A Course of Mathematics: For the Use of Academies as Well as Private Tuition : in Two Volumes, Volume 2 (Google eBook)

W.E. Dean, 1831 - Mathematics

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### Contents

 VOL ix Analytical Trigonometry Pa 1 26 Resolution of Spherical Triangles 40 Geodesic Operations 60 Problems in Trigonometrical Sur 71 On algebraicalequations 99 Nature and Properties of Curves114 114 Construction of Equations 137
 Dvnamics 189 Collision of Bodies 195 195 Laws of Gravity Falling Bodies 204 Practical Gunnery 217 InclinedPlanes Pendulums c 291 232 Ballistic Pendulum 244 Buoyancy of Pontoons 257 Of Pneumatics 264

 Mechanics Definitions c 149 Parallel Forces Sec 158 Centra of Gravity 172 Equilibrium of Arches 180
 Of the Siphon 273 Of the Barometer 279 Strength of Gudgeons C 439 dripje in their bases 562

### Popular passages

Page 469 - Or, by an. 249 of the same, the pressure is equal to the weight of a column of the fluid...
Page 74 - To prove that the exterior angle of a triangle is equal to the sum of the two interior opposite angles (see fig.
Page 205 - VI, its Corollaries and Scholium, for Constant Forces, are true in the Motions of. Bodies freely descending by their own Gravity ; namely, that the Velocities are as the Times, and the Spaces as the Squares of the Times, or as the Squares of the Velocities. FOR, since the force of gravity is uniform, and constantly the same, at all places near the earth's surface, or at nearly the same distance from the centre of the earth ; and since • this is the force by which bodies descend to the surface ;...
Page 249 - BPC) ; or, the pressure of a fluid on any surface is equal to the weight of a column of the fluid...
Page 299 - The workmen thought that substituting part silver was only a proper <perquisite; which taking air, Archimedes was appointed to examine it ; who, on putting...
Page 35 - Two planes are said to have the same or a like inclination to one another which two other planes have, when the said angles of inclination are equal to one another.
Page 83 - Let a, b, c, be the sides, and A, B, c, the angles of a spherical triangle, on the surface of a sphere whose radius is r ; then...
Page 395 - Multiply the number in the table of multiplicands, by the breadth and square of the depth, both in inches, and divide that product by the length, also, in inches; the quotient will be the weight in Jbs.t Example 1.
Page 254 - Weigh the denser body and the compound mass, separately, both in water and out of it ; then find how much each loses in water, by subtracting its weight in water from its weight in air ; and subtract the less of these remainders from the greater. Then...
Page 150 - Body is either Hard, Soft, or Elastic. A Hard Body is that whose parts do not yield to any stroke or percussion, but retains its figure unaltered. A Soft Body is that whose parts yield^to any stroke or impression, without restoring themselves again ; the figure of the body remaining altered.

### References from web pages

Thomas Stephens Davies - Wikipedia, the free encyclopedia
A Course of Mathematics for the use of the Royal Military Academy, by Charles Hutton. ... A Course of Mathematics, by C. Hutton, continued by O. Gregory; ...
en.wikipedia.org/ wiki/ Thomas_Stephens_Davies

Geometry.Net - Scientists: Hutton Charles
Composed for the use of the Royal military academy by Charles Hutton, 1841; A course of mathematics: In two volumes. For the use of academies, ...
www.geometry.net/ scientists/ hutton_charles_page_no_4.php

Collection of Early American Mathematics Books
Main Title TM: A course of mathematics : in two volumes : for the use of academies, as well as private tuition / by Charles Hutton. ...
www.math.gatech.edu/ ~hill/ publications/ books/ booklist.html

Amy Ackerberg-Hastings
In the mathematics part of the course, Mansfield taught algebra and Barron covered geometry, both from Charles Hutton's A Course of Mathematics. ...
www.math.usma.edu/ people/ Rickey/ dms/ DeptHeads/ Davies%20by%20Amy%20Ackerberg-Hastings.rtf

SOURCES - page 1. BIOGRAPHICAL MATERIAL -- in chronological order ...
SOURCES - page. 1. BIOGRAPHICAL MATERIAL -- in chronological order. ALCUIN (c735-804). Phillip Drennon Thomas. Alcuin of York. DSB I, 104-105. ...
www.g4g4.com/ MyCD5/ SOURCES/ SOURCE2.DOC

JSTOR: Muskets and Pendulums: Benjamin Robins, Leonhard Euler, and ...
Never- theless, the mathematics taught by Hutton, as demonstrated by his textbook A Course of Mathematics, in Two Volumes: Composed and more Especially ...