# 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

M.H. Newman & Company, 1848 - 153 sider

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### Innhold

 LOGARITHMS 8 Nature of Logarithms 14 SERIES OF POWERS AND ROOTS 22 TRIGONOMETRY 47 Application of Trigonometry to the mensuration of heights 130
 Notes 148 Areas of figures bounded by right lines 5 5 Gauging of Casks 92 92 Notes 100

### Populære avsnitt

Side 39 - CUBIC MEASURE 1728 cubic inches = 1 cubic foot 27 cubic feet = 1 cubic yard...
Side 19 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Side 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.
Side 5 - 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.
Side 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.
Side 55 - ... the square of the hypothenuse is equal to the sum of the squares of the other two sides.
Side 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.
Side 34 - But the difference of two squares is equal to the product of the sum and difference of their roots.
Side 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.