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 pages |
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Page 2
... decimals , before they are inserted in the logarithmic tables . See Alg . 255 . The logarithm of a , 2 2 or a0.3333 ... decimals are carried to a greater or less number of places , according to the degree of accuracy required . 5 ...
... decimals , before they are inserted in the logarithmic tables . See Alg . 255 . The logarithm of a , 2 2 or a0.3333 ... decimals are carried to a greater or less number of places , according to the degree of accuracy required . 5 ...
Page 3
... decimal . Thus the logarithm 2.60206 , or , as it is some- times written , 2 + .60206 , consists of the integer 2 , and the decimal .60206 . The integral part is called the characteris- tic or indext of the logarithm ; and is frequently ...
... decimal . Thus the logarithm 2.60206 , or , as it is some- times written , 2 + .60206 , consists of the integer 2 , and the decimal .60206 . The integral part is called the characteris- tic or indext of the logarithm ; and is frequently ...
Page 4
... decimal to -2 , or a positive one to -3 . Thus the logarithm of .008 is either -2 - .09691 , or -3 + .90309 . * The latter is generally most convenient in practice , and is more commonly written 3.90309 . The line over the index denotes ...
... decimal to -2 , or a positive one to -3 . Thus the logarithm of .008 is either -2 - .09691 , or -3 + .90309 . * The latter is generally most convenient in practice , and is more commonly written 3.90309 . The line over the index denotes ...
Page 5
... decimal part of the logarithm is positive . of 0.3 , is 1.47712 , The logarithm of 0.06 , is 2.77815 , of 0.009 , is 3.95424 , And universally , 11. The negative index of a logarithm shows how far the first significant figure of the ...
... decimal part of the logarithm is positive . of 0.3 , is 1.47712 , The logarithm of 0.06 , is 2.77815 , of 0.009 , is 3.95424 , And universally , 11. The negative index of a logarithm shows how far the first significant figure of the ...
Page 6
... 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 multiplied or divided by 10 , 100 , 1000 , & c . Thus the log . of 45670 ...
... 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 multiplied or divided by 10 , 100 , 1000 , & c . Thus the log . of 45670 ...
Autres éditions - Tout afficher
A Practical Application of the Principles of Geometry to the Mensuration of ... Jeremiah Day Affichage du livre entier - 1815 |
A Practical Application of the Principles of Geometry to the Mensuration of ... Jeremiah Day Aucun aperçu disponible - 2023 |
A Practical Application of the Principles of Geometry to the Mensuration of ... Jeremiah Day Aucun aperçu disponible - 2015 |
Expressions et termes fréquents
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
Fréquemment cités
Page 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.
Page 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.
Page 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.
Page 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.
Page 8 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Page 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.
Page 16 - THEN, IF THE SEGMENT BE LESS THAN A SEMI-CIRCLE, SUBTRACT THE AREA OF THE TRIANGLE FROM THE AREA OF THE SECTOR.
Page 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.