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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Page 4
... Tang . | D. | Cotang . | Infinite . 60 501717 13.536274 59 0.000000 6.463726 764756 293483 940847 208231 7.065786 235244 059153 161517 12.934214 162696 131969 9.999999 01 241878 111578 999999 01 308825 99553 366816 85254 999999 01 ...
... Tang . | D. | Cotang . | Infinite . 60 501717 13.536274 59 0.000000 6.463726 764756 293483 940847 208231 7.065786 235244 059153 161517 12.934214 162696 131969 9.999999 01 241878 111578 999999 01 308825 99553 366816 85254 999999 01 ...
Page 4
... Tang . I D. 8.241921 11967 249102 11772 256165 11584 263115 11402 269956 11225 276691 11054 283323 10887 Cotang . 11.758079 750898 60 743835 10721 999918 04 289856 10726 8 296207 10565 999915 04 296292 10570 703708 9 302546 10413 999913 ...
... Tang . I D. 8.241921 11967 249102 11772 256165 11584 263115 11402 269956 11225 276691 11054 283323 10887 Cotang . 11.758079 750898 60 743835 10721 999918 04 289856 10726 8 296207 10565 999915 04 296292 10570 703708 9 302546 10413 999913 ...
Page 4
... Tang . 8.543084 546691 550268 5914 D. Cotang . 6012 5962 553539 5858 993722 14566 557051 5811 999717 530540 5765 999713 563999 5719 999703 567431 5674 999704 570836 5630 999599 553817 5866 557336 5819 560828 5773 564291 5727 567727 5682 ...
... Tang . 8.543084 546691 550268 5914 D. Cotang . 6012 5962 553539 5858 993722 14566 557051 5811 999717 530540 5765 999713 563999 5719 999703 567431 5674 999704 570836 5630 999599 553817 5866 557336 5819 560828 5773 564291 5727 567727 5682 ...
Page 4
... Tang . 8.719396 721806 3995 724204 3974 726588 3952 728959 3930 731317 3909 733663 3889 735996 3868 738317 3848 740626 3827 D. 742922 3807 749055 746892 3756 3737 751297 3717 753528 3698 9.999329 12 999322 12 999315 12 999308 12 999301 ...
... Tang . 8.719396 721806 3995 724204 3974 726588 3952 728959 3930 731317 3909 733663 3889 735996 3868 738317 3848 740626 3827 D. 742922 3807 749055 746892 3756 3737 751297 3717 753528 3698 9.999329 12 999322 12 999315 12 999308 12 999301 ...
Page 4
... Tang . D. 8.844644 3019 846455 3007 848260 850751 2955 852525 2943 854291 2931 998896 998914 15 99-905 15 15 2995 ... Tang . | M. Sine D. Tang . 1 D. Cotang . | 30 22 ( 4 Degrees . ) A TABLE OF LOGARITHMIC.
... Tang . D. 8.844644 3019 846455 3007 848260 850751 2955 852525 2943 854291 2931 998896 998914 15 99-905 15 15 2995 ... Tang . | M. Sine D. Tang . 1 D. Cotang . | 30 22 ( 4 Degrees . ) A TABLE OF LOGARITHMIC.
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.