## A Course of Mathematics: Containing the Principles of Plane Trigonometry, Mensuration, Navigation, and Surveying. Adapted to the Method of Instruction in the American Colleges |

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added applied arithmetical axis base calculation called capacity chord circle circumference common cone contains cosine cotangent cube cubic cylinder decimal described diameter difference distance divided drawn edge equal equation evident expressions extend feet figure foot four fourth frustum gallons given greater half height hypothenuse inches increase inscribed latter length less logarithm manner measure middle miles minutes multiplied natural negative number of sides oblique obtained opposite parallel parallelogram perimeter perpendicular plane polygon positive prism PROBLEM proportion pyramid quantity radius ratio regular remain right angled triangle rods root rule scale secant sector segment sides similar sine slant-height solidity sphere spherical square subtract supposed surface tables taken tangent term theorem third triangle trigonometry whole zone

### Popular passages

Page 81 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.

Page 52 - The VERSED SINE of an arc is that part of the diameter which is between the sine and the arc. Thus, BA is the versed sine of the arc AG.

Page 43 - A cone is a solid figure described by the revolution of a right angled triangle about one of the sides containing the right angle, which side remains fixed.

Page 98 - For, by art. 14, the decimal part of the logarithm of any number is the same, as that of the number multiplied into 10, 100, &c.

Page 131 - In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference. By Theorem II. we have a : b : : sin. A : sin. B.

Page 38 - To the sum of the areas of the two ends add four times the area of a section parallel to and equally distant from both ends, and this last sum multiplied by | of the height will give the solidity.

Page 14 - To find then the logarithm of a vulgar fraction, subtract the logarithm of the denominator from that of the numerator. The difference will be the logarithm of the fraciion.

Page 100 - ... term. (Art. 52.) But it is more convenient in practice to begin by subtracting the first term from one of the others. If four quantities are proportional, the quotient of the first divided by the second, is equal to the quotient of the third divided by the fourth.

Page 49 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.

Page 41 - TO ONE OF THE SIDES. Or, MULTIPLY THE CUBE OF ONE OF THE EDGES, BY THE SOLIDITY OF A SIMILAR SOLID WHOSE EDGES ARE 1...