## A Treatise of Plane Trigonometry, and the Mensuration of Heights and Distances: To which is Prefixed a Summary View of the Nature and Use of Logarithms. Adapted to the Method of Instruction in Schools and Academies |

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A Treatise of Plane Trigonometry, and the Mensuration of Heights and ... Jeremiah Day No preview available - 2016 |

A Treatise Of Plane Trigonometry, And The Mensuration Of Heights And ... Jeremiah Day No preview available - 2008 |

### Common terms and phrases

added amount arithmetical base calculation called capacity centre chord circle circumference common complement cone considered contains Cosine Cotang cube cubic cylinder decimal Degrees described diameter difference distance divided division dollars drawn earth equal 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 object oblique obtained opposite parallel perimeter perpendicular plane polygon population positive principle prism PROBLEM proportion pyramid quadrant quantity radius regular right angled triangle rods root rule scale secant sector segment sides similar sine solidity sphere square subtracting supposed surface tables tabular taken taking Tang tangent term Theorem third trigonometry unit whole zone

### Popular passages

Page 39 - CUBIC MEASURE 1728 cubic inches = 1 cubic foot 27 cubic feet = 1 cubic yard...

Page 19 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.

Page 51 - 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 101 - NB In the following table, in the last nine columns of each page, where the first or leading figures change from 9's to O's, points or dots are introduced instead of the O's through the rest of the line, to catch the eye, and to indicate that fronc '>ence the annexed first two figures of the Logarithm in the colvvran stand in the next lower line. N.

Page 47 - The circumference of every circle, whether great or small, is supposed to be divided into 360 equal parts, called degrees ; and every degree into 60 parts, called minutes ; and every minute into 60 seconds.

Page 55 - ... the square of the hypothenuse is equal to the sum of the squares of the other two sides.

Page 117 - QUADRANT. NB The minutes in the left-hand column of each page, increasing downwards, belong to the degrees at the top ; and those increasing upwards, in the right-hand column, belong to the degrees below.

Page 12 - We have then this important property, j -f 14. The DECIMAL PART of the logarithm of any number is the same, as that of the number multiplied or divided by 10, 100, 1000, &c.

Page 34 - But the difference of two squares is equal to the product of the sum and difference of their roots.

Page 18 - ... 1.84148. 31. To find the. logarithm of a VULGAR FRACTION. From the nature of a vulgar fraction, the numerator may be considered as a dividend, and the denominator as a divisor; in other words, the value of the fraction is equal to the quotient, of the numerator divided by the denominator.