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 |
Dentro del libro
Resultados 6-10 de 33
Página 25
... quantity by logarithms , DIVIDE the logarithm of the quantity , by the number expressing the root required . The reason of the rule is evident also , from the fact , that logarithms are the exponents of powers and roots , and evo ...
... quantity by logarithms , DIVIDE the logarithm of the quantity , by the number expressing the root required . The reason of the rule is evident also , from the fact , that logarithms are the exponents of powers and roots , and evo ...
Página 27
... quantity into the index of the power , ( Art . 45. ) and then dividing the product by the num- ber expressing the root . ( Art . 47. ) 1. What is the value of ( 53 ) , that is , the 6th power of the 7th root of 53 ? Given number 53 log ...
... quantity into the index of the power , ( Art . 45. ) and then dividing the product by the num- ber expressing the root . ( Art . 47. ) 1. What is the value of ( 53 ) , that is , the 6th power of the 7th root of 53 ? Given number 53 log ...
Página 29
... quantity is the same as subtracting a positive one . ( Alg . 81. ) The difference between -3 and +9 , is not 6 , but 12 . The arithmetical complement of 6.24897 is 3.75103 of 2.70649 is 11.29351 of 2.98643 7.01357 of 3.64200 6.35800 of ...
... quantity is the same as subtracting a positive one . ( Alg . 81. ) The difference between -3 and +9 , is not 6 , but 12 . The arithmetical complement of 6.24897 is 3.75103 of 2.70649 is 11.29351 of 2.98643 7.01357 of 3.64200 6.35800 of ...
Página 34
... quantity is an exponent . Thus a = b , and x * = bc , are exponential equations . These are most easily solved by logarithms . As the two members of an equation are equal , their logarithms must also be equal . If the logarithm of each ...
... quantity is an exponent . Thus a = b , and x * = bc , are exponential equations . These are most easily solved by logarithms . As the two members of an equation are equal , their logarithms must also be equal . If the logarithm of each ...
Página 37
... quantity of the angles . In addition to this , from its principles are deriv- ed many interesting methods of investigation in the higher branches of analysis , particularly in physical astronomy . Scarcely any department of mathematics ...
... quantity of the angles . In addition to this , from its principles are deriv- ed many interesting methods of investigation in the higher branches of analysis , particularly in physical astronomy . Scarcely any department of mathematics ...
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.