A Course of Mathematics: Containing the Principles of Plane Trigonometry, Mensuration, Navigation, and Surveying. Adapted to the Method of Instruction in the American CollegesDurrie & Peck, 1853 - 5 páginas |
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Página 58
... mile , or any other denomination of length . But the sines , tangents , & c . , must always be understood to be of the same denomina- tion as the radius . 101. All the sines , except that of 90 ° , are less than ra- dius , ( Art . 82 ...
... mile , or any other denomination of length . But the sines , tangents , & c . , must always be understood to be of the same denomina- tion as the radius . 101. All the sines , except that of 90 ° , are less than ra- dius , ( Art . 82 ...
Página 73
... miles , and the angle at A 320 20 ' , what is the length of the base AB , and the perpendicular BC ? 20 In this case , as sides only are required , any side may be made radius . ( Art . 130. ) If the hypothenuse be made radius , as in ...
... miles , and the angle at A 320 20 ' , what is the length of the base AB , and the perpendicular BC ? 20 In this case , as sides only are required , any side may be made radius . ( Art . 130. ) If the hypothenuse be made radius , as in ...
Página 76
... miles , and the perpendicular 48 miles , what are the angles , and the base ? Making the hypothenuse radius . AC R : BC : Sin A R AC : Sin C : AB The numerical calculation will give A - 62 ° 44 ' and AB -24.74 . Making the perpendicular ...
... miles , and the perpendicular 48 miles , what are the angles , and the base ? Making the hypothenuse radius . AC R : BC : Sin A R AC : Sin C : AB The numerical calculation will give A - 62 ° 44 ' and AB -24.74 . Making the perpendicular ...
Página 92
... miles , & c . All that is necessary is , that the scale be not changed , in the con- struction of the same figure ; and that the several divisions and subdivisions be properly proportioned to each other . If the larger divisions , on ...
... miles , & c . All that is necessary is , that the scale be not changed , in the con- struction of the same figure ; and that the several divisions and subdivisions be properly proportioned to each other . If the larger divisions , on ...
Página 94
... miles . In latitude 40 , it is 46 miles ; in latitude 60 , 30 miles , & c . 166. The graduation on the line of secants begins where the line of sines ends . For the greatest sine is only equal to radius ; but the secant of the least arc ...
... miles . In latitude 40 , it is 46 miles ; in latitude 60 , 30 miles , & c . 166. The graduation on the line of secants begins where the line of sines ends . For the greatest sine is only equal to radius ; but the secant of the least arc ...
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Términos y frases comunes
acute angles arithmetical complement axis base bung diameter calculation cask circle circular sector circular segment circumference cosecant cosine cotangent cube cubic decimal difference distance divided equal to radius equation feet figure find the area find the SOLIDITY frustum given angle given number given side greater hypothenuse inches inscribed JEREMIAH DAY lateral surface length less line of chords loga middle diameter natural number negative number of degrees number of sides oblique opposite angles parallelogram parallelopiped perimeter perpendicular perpendicular height plane prism PROBLEM proportion pyramid quadrant quantity quotient radius ratio regular polygon right angled triangle right cylinder rithms rods root scale secant sector segment sine sines and cosines slant-height sphere spherical square subtract tables tangent tangent of half term theorem trapezium triangle ABC trigonometry wine gallons zone
Pasajes populares
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.
Página 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...