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 24
... square , will be 20 too great ; of the cube , 30 too great , & c . Ex . 1. Required the cube of 0.0649 Root 0.0649 log . Index 2.81224 or 8.81224 3 3 Power 0.0002733 4.43672 6.43672 2. Required the 4th power of 0.1234 Root 0.1234 log ...
... square , will be 20 too great ; of the cube , 30 too great , & c . Ex . 1. Required the cube of 0.0649 Root 0.0649 log . Index 2.81224 or 8.81224 3 3 Power 0.0002733 4.43672 6.43672 2. Required the 4th power of 0.1234 Root 0.1234 log ...
Página 25
... square root of 648.3 Numbers . Logarithms . Power 648.3 Root 25.46 2 ) 2.81178 1.40589 2. Required the cube root of 897.1 Power 897.1 Root 9.645 3 ) 2.95284 0.98428 In the first of these examples , the logarithm of the given number is ...
... square root of 648.3 Numbers . Logarithms . Power 648.3 Root 25.46 2 ) 2.81178 1.40589 2. Required the cube root of 897.1 Power 897.1 Root 9.645 3 ) 2.95284 0.98428 In the first of these examples , the logarithm of the given number is ...
Página 46
... Log . 4 - log . 2 = 2M ( +3.33 +5.35 +7.37 , & c . But as 4 is the square of 2 ; log . 4-2 log . 2. ( Alg . 44. ) So that log . 4 - log . 2 - log . 2. We have then 1 1 1 3.33 5.35 1 1 Log . 2-2M 46 COMPUTATION OF LOGARITIIMS .
... Log . 4 - log . 2 = 2M ( +3.33 +5.35 +7.37 , & c . But as 4 is the square of 2 ; log . 4-2 log . 2. ( Alg . 44. ) So that log . 4 - log . 2 - log . 2. We have then 1 1 1 3.33 5.35 1 1 Log . 2-2M 46 COMPUTATION OF LOGARITIIMS .
Página 55
... square of the hypothenuse is equal to the sum of the squares of the perpendicular sides . ( Euc . 47. 1. ) In the ... square of the sine , cos2 for the square of the cosine , angles being equal , the sides are equal , and SINES ...
... square of the hypothenuse is equal to the sum of the squares of the perpendicular sides . ( Euc . 47. 1. ) In the ... square of the sine , cos2 for the square of the cosine , angles being equal , the sides are equal , and SINES ...
Página 57
... square of the cosine of the arc . And the product of the sine of an arc , into the versed sine of the supplement of twice the arc , is equal to the product of the cosine of the arc , into the sine of twice the arc , & c . & c . 58 ...
... square of the cosine of the arc . And the product of the sine of an arc , into the versed sine of the supplement of twice the arc , is equal to the product of the cosine of the arc , into the sine of twice the arc , & c . & c . 58 ...
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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...