# A Course of Mathematics:

In Two Volumes. For the Use of Academies as Well as Private Tuition, Volume 2 (Google eBook)
J. Johnson; W.J. and J. Richardson, 1807 - Mathematics

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### Contents

 LANE Trigonometry l 17 Mensuration of Planes or Areas 26 Mensuration of Solids 43 Land Surveying 53 Artificers Works 81 Conic Sections 93 Of the Hyperbola 106 Of the Parabola 115
 Qf Hydrostatics 210 Of Hydraulics 221 CO Of the Syphon 236 Of the Barometer 241 Practical Exercises in Mensuration 248 Weights and Dimensions of Balls and Shells 258 Of Distances by the Velocity of Sound 264 The Doctrine of Fluxions 275

### Popular passages

Page 64 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Page 1 - The Circumference of every circle is supposed to be divided into 360 equal parts, called Degrees ; and each degree into 60 Minutes, each minute into 60 Seconds, and so on. Hence a semicircle contains 180 degrees, and a quadrant 90 degrees. 58. The Measure of an angle is an arc of any circle contained between the two lines which form that angle, the angular point being the centre ; and it is estimated by the number of degrees contained in that arc.
Page 175 - MECHANICAL POWERS are certain simple instruments employed in raising greater weights, or overcoming greater resistance than could be effected by the direct application of natural strength. They are usually accounted six in number; viz. the Lever, the Wheel and Axle, the Pulley, the Inclined Plane, the Wedge, and the Screw.
Page 46 - How many cubic feet in a block of marble, of which the length is 3 feet 2 inches, breadth 2 feet 8 inches, and height or thickness 2 feet 6 inches ? Ans.
Page 88 - WORK. — Glaziers take their dimensions either in feet, inches, and parts ; or feet, tenths, and hundredths. And they compute their work in square feet. In taking the length and breadth of a window, the cross bars between the squares are included. Also, windows of round or oval forms are measured as square, measuring them to their greatest length and breadth, on account of the waste in cutting the glass.
Page 213 - BPC) ; or, the pressure of a fluid on any surface is equal to the weight of a column of the fluid...
Page 249 - In turning a one-horse chaise within a ring of a certain diameter, it was observed that the outer wheel made two turns, while the inner made but one : the wheels were both 4 feet high •, and supposing them fixed at the distance of 5 feet asunder on the axletree, what was the circumference of the track described by the outer wheel ? Ans. 62-33 feet. QUEST. 12. What is the side of that equilateral triangle, whose area cost as much paving at 8d.
Page 257 - Then say, As the weight lost in water, Is to the whole weight, So is the specific gravity of water, To the specific gravity of the body.
Page 332 - ... and the relation between these three quantities being universally expressed by this equation m = qf, it follows that, by means of it, any one of the three may be expelled out of the calculation, or else brought into it. Also, the momentum, or quantity of motion in a moving body, is qv, the product of the velocity and matter. It is also to be observed, that the theorems equally hold good for the destruction of motion and velocity, by means of retarding forces, as for the generation of the same,...
Page 175 - A LEVER is any inflexible rod, bar, or beam, which, serves to raise weights, while it is supported at a point by a fulcrum or prop, which is the centre of motion. The lever is supposed to be void of gravity or weight, to render the demonstrations easier and simpler.

### 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 ...