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 45
... inch , a yard , a mile , or any other denomination of length . But the sines , tan- gents , & c . must always be understood to be of the same de- nomination as the radius . 101. All the sines , except that of 90 ° , are less than the ...
... inch , a yard , a mile , or any other denomination of length . But the sines , tan- gents , & c . must always be understood to be of the same de- nomination as the radius . 101. All the sines , except that of 90 ° , are less than the ...
Página 66
... inches , and the base 45 , what is the length of the perpendicular ? Sum of the given sides Difference of do . 120 log . 2.07918 Side required 30 1.47712 Dividing by 2 ) 3.55630 60 1.77815 2. If the hypothenuse is 135 , and the ...
... inches , and the base 45 , what is the length of the perpendicular ? Sum of the given sides Difference of do . 120 log . 2.07918 Side required 30 1.47712 Dividing by 2 ) 3.55630 60 1.77815 2. If the hypothenuse is 135 , and the ...
Página 78
... inches and tenths of an inch . Beneath this , on the left hand , are two diagonal scales of equal parts , * divided in- to inches and half inches , by perpendicular lines . On the larger scale , one of the inches is divided into tenths ...
... inches and tenths of an inch . Beneath this , on the left hand , are two diagonal scales of equal parts , * divided in- to inches and half inches , by perpendicular lines . On the larger scale , one of the inches is divided into tenths ...
Página 79
... inches , and if the angles are the same in each , the figures are similar . One is a copy of the other , up- on a smaller scale . : So any two right lined figures are similar , if the angles are the same in both , and if the number of ...
... inches , and if the angles are the same in each , the figures are similar . One is a copy of the other , up- on a smaller scale . : So any two right lined figures are similar , if the angles are the same in both , and if the number of ...
Página 124
... inches , open the sector so as to make the transverse distance from 60 to 60 , on the lines of chords , four inches ; and the distance from 30 to 30 , on the same lines , will be the chord required . To find the sine of 28 ° , make ...
... inches , open the sector so as to make the transverse distance from 60 to 60 , on the lines of chords , four inches ; and the distance from 30 to 30 , on the same lines , will be the chord required . To find the sine of 28 ° , make ...
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.