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 5
... errour in practice . 13. The sum of the logarithms of two numbers , is the log- arithm of the product of those numbers ; and the difference of the logarithms of two numbers , is the logarithm of the quotient of one of the numbers ...
... errour in practice . 13. The sum of the logarithms of two numbers , is the log- arithm of the product of those numbers ; and the difference of the logarithms of two numbers , is the logarithm of the quotient of one of the numbers ...
Página 16
... errour of this kind is easily corrected , by comparing the logarithm with any two others to whose sum or difference it ought to be equal . ( Art . 1. ) Thus 48 = 24 × 2 = 16 × 3 = 12 × 4 = 8 × 6 . Therefore , the logarithm of 48 is ...
... errour of this kind is easily corrected , by comparing the logarithm with any two others to whose sum or difference it ought to be equal . ( Art . 1. ) Thus 48 = 24 × 2 = 16 × 3 = 12 × 4 = 8 × 6 . Therefore , the logarithm of 48 is ...
Página 30
... 6.20252 3. As 253 a . c . 7.59688 Is to 769.4 2.88615 Is to 672.5 2.92769 So is 37.61 1.57530 So is 497 2.69636 Το 4.613 0.66397 Το 1321.1 3.12093 1341 3.12746 * See Webber's Arithmetic . Errour +0.01139 Difference 1.
... 6.20252 3. As 253 a . c . 7.59688 Is to 769.4 2.88615 Is to 672.5 2.92769 So is 37.61 1.57530 So is 497 2.69636 Το 4.613 0.66397 Το 1321.1 3.12093 1341 3.12746 * See Webber's Arithmetic . Errour +0.01139 Difference 1.
Página 31
... Do. Term required 1st and 2d 3.13632 58. The calculation will be more simple , if ,. 1341 3.12746 * See Webber's Arithmetic . Errour +0.01139 Difference of the errours 0.00105 COMPOUND PROPORTION . 31 Compound Proportion.
... Do. Term required 1st and 2d 3.13632 58. The calculation will be more simple , if ,. 1341 3.12746 * See Webber's Arithmetic . Errour +0.01139 Difference of the errours 0.00105 COMPOUND PROPORTION . 31 Compound Proportion.
Página 35
... Errour , in the same man- ner as affected equations . ( Alg . 503. ) For this purpose , make two suppositions of the value of the unknown quanti- ty , and find their errours ; then say , As the difference of the errours , to the dif ...
... Errour , in the same man- ner as affected equations . ( Alg . 503. ) For this purpose , make two suppositions of the value of the unknown quanti- ty , and find their errours ; then say , As the difference of the errours , to the dif ...
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.