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 sider |
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Side 1
... 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 applied to the general pur- poses of calculation , they are called ...
... 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 applied to the general pur- poses of calculation , they are called ...
Side 2
... roots , and of powers of roots , are converted into decimals , before they are inserted in the logarithmic tables . See Alg ... root of 10 may be found , which shall be equal to any other number whatever , or , at least , a very near ...
... roots , and of powers of roots , are converted into decimals , before they are inserted in the logarithmic tables . See Alg ... root of 10 may be found , which shall be equal to any other number whatever , or , at least , a very near ...
Side 3
... root of 10 which shall be equal to the proposed number . The ex- ponent of that power or root is the logarithm required . Thus 7 = 100.845A 20 101.3010 30 101.4771 400-102.60 20 of 7 is 0.8451 therefore the logarithm of 20 is 1.3010 of ...
... root of 10 which shall be equal to the proposed number . The ex- ponent of that power or root is the logarithm required . Thus 7 = 100.845A 20 101.3010 30 101.4771 400-102.60 20 of 7 is 0.8451 therefore the logarithm of 20 is 1.3010 of ...
Side 7
... roots . ( Art . 2. ) But an exponent may be applied to a negative power or root , as well as to a positive one . arithm of Thus the cube of a is -a3 And the cube of + a is + a3 ) Alg . 218 . Though these two powers are one positive ...
... roots . ( Art . 2. ) But an exponent may be applied to a negative power or root , as well as to a positive one . arithm of Thus the cube of a is -a3 And the cube of + a is + a3 ) Alg . 218 . Though these two powers are one positive ...
Side 17
... roots . ( Arts . 2 , 5. ) And it has been shown , that powers and roots are multiplied , by adding their exponents ; and divided , by subtracting their exponents . ( Alg . 233 , 237 , 280 , 286. ) MULTIPLICATION BY LOGARITHMS . 37. ADD ...
... roots . ( Arts . 2 , 5. ) And it has been shown , that powers and roots are multiplied , by adding their exponents ; and divided , by subtracting their exponents . ( Alg . 233 , 237 , 280 , 286. ) MULTIPLICATION BY LOGARITHMS . 37. ADD ...
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Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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.
Side 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.
Side 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.
Side 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.
Side 12 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Side 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.
Side 20 - THEN, IF THE SEGMENT BE LESS THAN A SEMI-CIRCLE, SUBTRACT THE AREA OF THE TRIANGLE FROM THE AREA OF THE SECTOR.
Side 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.