A Practical Application of the Principles of Geometry to the Mensuration of Superficies and Solids: Being the Third Part of a Course of Mathematics, Adapted to the Method of Instruction in the American CollegesOliver Steele, printer, 1815 - 96 páginas |
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Página 11
... nearly proportioned to the differences , of the num bers . Thus The log . of 1000 is 3.00000 , of 1001 3.00043 , of 1002 3.00087 , of 1003 3.00130 , of 1004 3.00173 , & c . Here the differences in the numbers are 1,2,3,4 , & c . and the ...
... nearly proportioned to the differences , of the num bers . Thus The log . of 1000 is 3.00000 , of 1001 3.00043 , of 1002 3.00087 , of 1003 3.00130 , of 1004 3.00173 , & c . Here the differences in the numbers are 1,2,3,4 , & c . and the ...
Página 13
... nearly . And the log . 5.55931 + 9 = 5.55940 , the log . required . Ex . 2. The log . of 78264 is 4.89356 3 . The log . of 143542 is 5.15698 4. The log . of 1129535 is 6.05290 . By a little practice , such a facility , in abridging ...
... nearly . And the log . 5.55931 + 9 = 5.55940 , the log . required . Ex . 2. The log . of 78264 is 4.89356 3 . The log . of 143542 is 5.15698 4. The log . of 1129535 is 6.05290 . By a little practice , such a facility , in abridging ...
Página 15
... nearly , found in the tables , it will be necessary to reverse the rule in art . 28 . Take from the tables two logarithms , one the next greater , the other the next less than the given logarithm . Find the difference of the two ...
... nearly , found in the tables , it will be necessary to reverse the rule in art . 28 . Take from the tables two logarithms , one the next greater , the other the next less than the given logarithm . Find the difference of the two ...
Página 35
... , and log.x = 0.60336 Multiplying by 4.011 ( log . x ) × x = 2.41963 log . 256 2.40824 Errour +0.01139 ་ ོ ས་ Difference of the errours 4.012 Multiplying by ( log . x ) xx = 2.42068 log . 256 = 2.40824 Errour +0.01244 0.00105 Then 0.00105 ...
... , and log.x = 0.60336 Multiplying by 4.011 ( log . x ) × x = 2.41963 log . 256 2.40824 Errour +0.01139 ་ ོ ས་ Difference of the errours 4.012 Multiplying by ( log . x ) xx = 2.42068 log . 256 = 2.40824 Errour +0.01244 0.00105 Then 0.00105 ...
Página 36
... nearly . Subtracting this correction from the first assumed number 4.011 , we have the value of x = 4 , which satisfies the condi-- tions of the proposed equation ; for 4 * = 256 . 2. Reduce the equation 4x100x 3 . 3. Reduce the ...
... nearly . Subtracting this correction from the first assumed number 4.011 , we have the value of x = 4 , which satisfies the condi-- tions of the proposed equation ; for 4 * = 256 . 2. Reduce the equation 4x100x 3 . 3. Reduce the ...
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A Practical Application of the Principles of Geometry to the Mensuration of ... Jeremiah Day Sin vista previa disponible - 2023 |
A Practical Application of the Principles of Geometry to the Mensuration of ... Jeremiah Day Sin vista previa disponible - 2015 |
Términos y frases comunes
ABCD axis base calculation centre circle circular segment circumference column cone cosecant cosine cotangent course cylinder decimal departure diameter Diff difference of latitude difference of longitude distance divided earth equal equator errour feet figure find the area find the SOLIDITY frustum given side gles greater half horizon hypothenuse inches JEREMIAH DAY length less line of chords logarithm measured Mercator's Merid meridian meridional difference middle latitude miles minutes multiplied negative number of degrees number of sides object oblique opposite parallel sailing parallelogram parallelopiped perimeter perpendicular plane sailing polygon prism PROBLEM proportion pyramid quadrant quantity quotient radius regular polygon right angled triangle right cylinder rithms rods root scale secant segment sine sines and cosines slant-height sphere spherical square subtract surface tables tangent term theorem tion trapezium triangle ABC Trig trigonometry whole
Pasajes populares
Página 68 - 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 41 - A right cone is a solid described by the revolution of a right angled triangle about one of the sides which contain the right angle.
Página 71 - It will be sufficient to lay the edge of a rule on C, so as to be parallel to a line supposed to pass through B and D, and to mark the point of intersection G. 126. If after a field has been surveyed, and the area computed, the chain is found to be too long or too short ; the true contents may be found, upon the principle that similar figures are to each other as the squares of their homologous sides.
Página 105 - The sum of any two sides of a triangle is to their difference, as the tangent of half the sum of the angles opposite to those sides, to the tangent of half their difference.
Página 12 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Página 49 - ... at the head of the column, take the degrees at the top of the table, and the minutes on the left; but if the title be at the foot of the column, take the degrees at the bottom, and the minutes on the right.
Página 20 - THEN, IF THE SEGMENT BE LESS THAN A SEMI-CIRCLE, SUBTRACT THE AREA OF THE TRIANGLE FROM THE AREA OF THE SECTOR.
Página 46 - Jidd together the areas of the two ends, and the square root of the product of these areas ; and multiply the sum by \ of the perpendicular height.