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 3
... term index , as it is used here , may possibly lead to some con- fusion in the mind of the learner . For the logarithm itself is the in- dex or exponent of a power . The characteristic , therefore , is the in- dex of an index . 8. The ...
... term index , as it is used here , may possibly lead to some con- fusion in the mind of the learner . For the logarithm itself is the in- dex or exponent of a power . The characteristic , therefore , is the in- dex of an index . 8. The ...
Página 7
... term is the product of the preceding term into the ratio . But the logarithm of this product is the sum of the logarithms of the preceding term and the ratio ; that is , the logarithms increase by a common addition , and are , therefore ...
... term is the product of the preceding term into the ratio . But the logarithm of this product is the sum of the logarithms of the preceding term and the ratio ; that is , the logarithms increase by a common addition , and are , therefore ...
Página 12
... 36S40 , and 36850 , For 792674 , 792600 , 792700 , For 6537825 , : 6537000 , 6538000 , & c . The first term of the proportion will then be 10 , or 100 , or 1000 , & c . Ex . 1. Required the logarithm of 362572 . The 12 THE LOGARITHMIC.
... 36S40 , and 36850 , For 792674 , 792600 , 792700 , For 6537825 , : 6537000 , 6538000 , & c . The first term of the proportion will then be 10 , or 100 , or 1000 , & c . Ex . 1. Required the logarithm of 362572 . The 12 THE LOGARITHMIC.
Página 17
... term required in single and compound proportion . The principle on which all these calculations are conducted , is this ; If the logarithm of two numbers be added , the sun will be the logarithm of the PRODUCT of the numbers ; and If ...
... term required in single and compound proportion . The principle on which all these calculations are conducted , is this ; If the logarithm of two numbers be added , the sun will be the logarithm of the PRODUCT of the numbers ; and If ...
Página 27
... term in a propor- tion , ADD the logarithms of the SECOND and THIRD terms , and from the sum SUBTRACT the logarithm of the FIRST term . The remainder will be the logarithm of the ... term Third term 378 2.57749 LOGARITHMS . 27 Proportion.
... term in a propor- tion , ADD the logarithms of the SECOND and THIRD terms , and from the sum SUBTRACT the logarithm of the FIRST term . The remainder will be the logarithm of the ... term Third term 378 2.57749 LOGARITHMS . 27 Proportion.
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.