## 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 |

### Other editions - View all

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

ABCD altitude axis base breadth bung diameter calculated capacity cask centre circular sector circular segment circumference convex surface cosecant Cosine Cotang cube decimal dicular difference divided earth equal to half figure find the area find the SOLIDITY frustum given sides gles greater head diameter hypothenuse inscribed lateral surface length less line of chords logarithm measure miles MULTIPLY THE SUM number of degrees number of sides oblique parallel parallelogram parallelopiped perpen perpendicular perpendicular height plane prism PROBLEM product of half proportion pyramid quadrant quantity quotient radius regular polygon regular solids right angled triangle right cone right cylinder right prism rods root secant sector sine sphere square feet subtracted tables tabular Tang tangent term Theorem Thomson's Legendre trapezium triangle ABC Trig trigonometry ullage whole surface wine gallons 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 4 - 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.