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 1
... called Logarithms . 2. LOGARITHMS , then , are the EXPONENTS of a series of powers and roots . † In forming a system of logarithms , some particular num- ber is fixed upon , as the radix or first power , whose logarithm is always 1 ...
... called Logarithms . 2. LOGARITHMS , then , are the EXPONENTS of a series of powers and roots . † In forming a system of logarithms , some particular num- ber is fixed upon , as the radix or first power , whose logarithm is always 1 ...
Página 2
... called Briggs ' logarithms , the number which is taken for the radix The above series then , by substituting 10 for a , be- is 10 . comes 104 , 10 , 102 , 10 , 10 ° , 10- , 10-2 ; 10 - 3 , & c . Or 10000 , 1000 , 100 , 10 , 1 , 10 , 100 ...
... called Briggs ' logarithms , the number which is taken for the radix The above series then , by substituting 10 for a , be- is 10 . comes 104 , 10 , 102 , 10 , 10 ° , 10- , 10-2 ; 10 - 3 , & c . Or 10000 , 1000 , 100 , 10 , 1 , 10 , 100 ...
Página 3
... called the characteris- tic or indext of the logarithm ; and is frequently omitted , in the common tables , because it can be easily supplied , when- ever the logarithm is to be used in calculation . By art . 3d , the logarithms of ...
... called the characteris- tic or indext of the logarithm ; and is frequently omitted , in the common tables , because it can be easily supplied , when- ever the logarithm is to be used in calculation . By art . 3d , the logarithms of ...
Página 8
... called hyperbolic logarithms , from certain relations which they have to the spaces between the asymptotes and the curve of an hyperbola ; although these relations are not , in fact , peculiar to Napier's system . These logarithms have ...
... called hyperbolic logarithms , from certain relations which they have to the spaces between the asymptotes and the curve of an hyperbola ; although these relations are not , in fact , peculiar to Napier's system . These logarithms have ...
Página 28
... called the ARITHMETICAL COMPLEMENT of that number . The arithmetical complement of a number consisting of one integral figure , either with or without decimals , is found , by subtracting the number from 10. If there are two inte- gral ...
... called the ARITHMETICAL COMPLEMENT of that number . The arithmetical complement of a number consisting of one integral figure , either with or without decimals , is found , by subtracting the number from 10. If there are two inte- gral ...
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 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.