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
... divided , by subtracting their exponents . In the same manner , roots may be multiplied and divided , by adding and subtracting their fractional exponents . ( Alg . 280 , 286. ) When these expo- nents are arranged in tables , and ...
... divided , by subtracting their exponents . In the same manner , roots may be multiplied and divided , by adding and subtracting their fractional exponents . ( Alg . 280 , 286. ) When these expo- nents are arranged in tables , and ...
Página 5
... 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 : and as this is an integer ...
... 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 : and as this is an integer ...
Página 6
... divided by 10 , 100 , 1000 , & c . Thus the log . of 45670 , is 4.65963 , 4567 , 3.65963 , 456.7 , 2.65963 , 45.67 , 1.65963 , 4.567 , 0.65963 , .4567 , 1.65963 , or 9.65963 , .04567 , 2.65963 , 8.65963 , .004567 , 3.65963 , 7.65963 ...
... divided by 10 , 100 , 1000 , & c . Thus the log . of 45670 , is 4.65963 , 4567 , 3.65963 , 456.7 , 2.65963 , 45.67 , 1.65963 , 4.567 , 0.65963 , .4567 , 1.65963 , or 9.65963 , .04567 , 2.65963 , 8.65963 , .004567 , 3.65963 , 7.65963 ...
Página 8
... divided into portions , each equal to AC , by the points 1 , 2 , 3 , & c . Let the line a represent the radix of a given system of logarithms , suppose it to be 1.3 ; and let a2 , a3 , & c . correspond , in length , with the different ...
... divided into portions , each equal to AC , by the points 1 , 2 , 3 , & c . Let the line a represent the radix of a given system of logarithms , suppose it to be 1.3 ; and let a2 , a3 , & c . correspond , in length , with the different ...
Página 14
... divided by the denominator . ( Alg . 135. ) But in logarithms , division is performed by subtrac- tion ; that is , the difference of the logarithms of two num- bers , is the logarithm of the quotient of those numbers . ( Art . 1. ) To ...
... divided by the denominator . ( Alg . 135. ) But in logarithms , division is performed by subtrac- tion ; that is , the difference of the logarithms of two num- bers , is the logarithm of the quotient of those numbers . ( Art . 1. ) To ...
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.