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 5
... quotient of one of the numbers divided by the other . ( Art . 1. ) In Briggs ' system , the logarithm of 10 is 1. ( Art . 3. ) If therefore any number be multiplied or divided by 10 , its log- arithm will be increased or diminished by 1 ...
... quotient of one of the numbers divided by the other . ( Art . 1. ) In Briggs ' system , the logarithm of 10 is 1. ( Art . 3. ) If therefore any number be multiplied or divided by 10 , its log- arithm will be increased or diminished by 1 ...
Página 6
... quotient 473 is 2.67486 1 Here the index only is altered , while the decimal part re- mains the same . We have then this important property , 14. The DECIMAL PART of the logarithm of any number is the same , as that of the number ...
... quotient 473 is 2.67486 1 Here the index only is altered , while the decimal part re- mains the same . We have then this important property , 14. The DECIMAL PART of the logarithm of any number is the same , as that of the number ...
Página 14
... quotient of those numbers . ( Art . 1. ) 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 fraction . Or the logarithm ...
... quotient of those numbers . ( Art . 1. ) 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 fraction . Or the logarithm ...
Página 17
... QUOTIENT of one of the numbers divided by the other . In proof of this , we have only to call to mind , that loga- rithms are the EXPONENTS of a series of powers and roots . ( Arts . 2 , 5. ) And it has been shown , that powers and ...
... QUOTIENT of one of the numbers divided by the other . In proof of this , we have only to call to mind , that loga- rithms are the EXPONENTS of a series of powers and roots . ( Arts . 2 , 5. ) And it has been shown , that powers and ...
Página 21
... QUOTIENT . ( Art . 36. ) Divide 6238 : Numbers . Logarithms . Numbers . Logarithms . 3.79505 Divide 896.3 2.95245 By 2982 3.47451 By 9.847 0.99330 Quot . 91.02 1.95915 Quot . 2.092 0.32054 42. The decimal part of the logarithm may be ...
... QUOTIENT . ( Art . 36. ) Divide 6238 : Numbers . Logarithms . Numbers . Logarithms . 3.79505 Divide 896.3 2.95245 By 2982 3.47451 By 9.847 0.99330 Quot . 91.02 1.95915 Quot . 2.092 0.32054 42. The decimal part of the logarithm may be ...
Otras ediciones - Ver todas
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 arithmetical complement 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 logarithm measured Mercator's Merid meridian meridional difference middle latitude miles minutes multiplied negative number of degrees number of sides object oblique opposite parallelogram parallelopiped perimeter perpendicular plane sailing polygon prism PROBLEM proportion pyramid quadrant quantity quotient radius regular polygon right angled triangle right ascension right cylinder rods root secant segment sine sines and cosines slant-height sphere 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 37 - 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 67 - 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 8 - 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 16 - THEN, IF THE SEGMENT BE LESS THAN A SEMI-CIRCLE, SUBTRACT THE AREA OF THE TRIANGLE FROM THE AREA OF THE SECTOR.
Página 42 - 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.