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 8
... distances from AC , on the line AF , it is evident , that the abscissa of the point C is 0 ) , which is the logarithm of 1 AC . ( Art . 2. ) The distance from A to 1 is the logarithm of the ordinate a , which is the radix of the system ...
... distances from AC , on the line AF , it is evident , that the abscissa of the point C is 0 ) , which is the logarithm of 1 AC . ( Art . 2. ) The distance from A to 1 is the logarithm of the ordinate a , which is the radix of the system ...
Página 13
... distance of the first significant figure of the fraction from the place of units . ( Art . 11. ) The log . of 0.07643 , is 2.88326 , or 8.88326 , ( Art . 12. ) of 0.00259 , 3.41330 , or 7.41330 , of 0.0006278 , 4.79782 , or 6.79782 . 30 ...
... distance of the first significant figure of the fraction from the place of units . ( Art . 11. ) The log . of 0.07643 , is 2.88326 , or 8.88326 , ( Art . 12. ) of 0.00259 , 3.41330 , or 7.41330 , of 0.0006278 , 4.79782 , or 6.79782 . 30 ...
Página 49
... distances and magnitudes of the heavenly bodies , predicts the eclipses of the sun and moon , and measures the progress of light from the stars . 72. Trigonometry is either plane or spherical . The for- mer treats of triangles bounded ...
... distances and magnitudes of the heavenly bodies , predicts the eclipses of the sun and moon , and measures the progress of light from the stars . 72. Trigonometry is either plane or spherical . The for- mer treats of triangles bounded ...
Página 92
... distance , in a straight line , from one end of the arc to the other . Thus the chord AB , ( Fig . 33. ) is a measure of the arc ADB , and of the angle ACB . To form the line of chords , a circle is described , and the lengths of its ...
... distance , in a straight line , from one end of the arc to the other . Thus the chord AB , ( Fig . 33. ) is a measure of the arc ADB , and of the angle ACB . To form the line of chords , a circle is described , and the lengths of its ...
Página 93
... distance between the points of intersection , applied to the line of chords , will give the measure of the angle in degrees . If the angle be obtuse , divide the arc into two parts . Ex . 1. To measure the angle ACB . ( Fig . 33 ...
... distance between the points of intersection , applied to the line of chords , will give the measure of the angle in degrees . If the angle be obtuse , divide the arc into two parts . Ex . 1. To measure the angle ACB . ( Fig . 33 ...
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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...