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 94
... quantity , the tangent is greater than any assignable quantity , and is said to be infi- nite . ( Alg . 447. ) If the arc is exactly 90 degrees , it has , strictly speaking , no tangent . For a tangent is a line , drawn perpendicular ...
... quantity , the tangent is greater than any assignable quantity , and is said to be infi- nite . ( Alg . 447. ) If the arc is exactly 90 degrees , it has , strictly speaking , no tangent . For a tangent is a line , drawn perpendicular ...
Página 122
... quantity 4.6855749 , and the logarithm of the given arc reduced to seconds and decimals , add two thirds of the arithmetical complement of the loga- rithmic cosine . To find a small arc from its logarithmic SINE . To the sum of the ...
... quantity 4.6855749 , and the logarithm of the given arc reduced to seconds and decimals , add two thirds of the arithmetical complement of the loga- rithmic cosine . To find a small arc from its logarithmic SINE . To the sum of the ...
Página 43
... quantity . In the same manner , the base of a pyramid may be a polygon of so many sides , as to differ less than by any given quantity , from the base of a cone in which it is inscribed . A cylinder is therefore considered , by many ...
... quantity . In the same manner , the base of a pyramid may be a polygon of so many sides , as to differ less than by any given quantity , from the base of a cone in which it is inscribed . A cylinder is therefore considered , by many ...
Página 48
... quantity from the circle in which it is inscribed ; ( Sup . Euc . 4. 1. ) and in which the perpendicular GC shall differ less than by any given quantity from the radius of the circle . Therefore the surface of a hemisphere is equal to ...
... quantity from the circle in which it is inscribed ; ( Sup . Euc . 4. 1. ) and in which the perpendicular GC shall differ less than by any given quantity from the radius of the circle . Therefore the surface of a hemisphere is equal to ...
Página 59
... quantity of liquor , with the least expense of materials . 78. Figures which have equal perimeters are called Isope- rimeters . When a quantity is greater than any other of the same class , it is called a maximum . A multitude of ...
... quantity of liquor , with the least expense of materials . 78. Figures which have equal perimeters are called Isope- rimeters . When a quantity is greater than any other of the same class , it is called a maximum . A multitude of ...
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 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 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.