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 |
Dentro del libro
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Página 85
... middle . From this , the numbers are repeated , 2 , 3 , 4 , & c . which may be read 20 , 30 , 40 , & c . The logarithms of numbers between 1 and 10 are represented by portions of the first half of the line ; and the logarithms of ...
... middle . From this , the numbers are repeated , 2 , 3 , 4 , & c . which may be read 20 , 30 , 40 , & c . The logarithms of numbers between 1 and 10 are represented by portions of the first half of the line ; and the logarithms of ...
Página 89
... middle term of the same name , will reach from the other middle term to the fourth term . ( Art . 185. ) -.16 In a trigonometrical proportion , two of the terms are the lengths of sides of the given triangle ; and the other two are ...
... middle term of the same name , will reach from the other middle term to the fourth term . ( Art . 185. ) -.16 In a trigonometrical proportion , two of the terms are the lengths of sides of the given triangle ; and the other two are ...
Página 122
... middle terms on the fixed part ; and against the other middle term on the slider , will be the fourth term on the fixed part . Or the first term may be taken on the fixed part ; and then the fourth term will be found on the slider ...
... middle terms on the fixed part ; and against the other middle term on the slider , will be the fourth term on the fixed part . Or the first term may be taken on the fixed part ; and then the fourth term will be found on the slider ...
Página 12
... middle of the base to the arc , as PO . ( Fig . 9. ) V. A Circular Zone is the space between two parallel chords , as AGHB . ( Fig . 15. ) It is called the middle zone , when the two chords are equal . VI . A Circular Ring is the space ...
... middle of the base to the arc , as PO . ( Fig . 9. ) V. A Circular Zone is the space between two parallel chords , as AGHB . ( Fig . 15. ) It is called the middle zone , when the two chords are equal . VI . A Circular Ring is the space ...
Página 26
... middle of one of the sides of the base . XI . A frustum or trunk of a pyramid is a portion of the solid next the base , cut off by a plane parallel to the base . The height of the frustum is the perpendicular distance of the two ...
... middle of one of the sides of the base . XI . A frustum or trunk of a pyramid is a portion of the solid next the base , cut off by a plane parallel to the base . The height of the frustum is the perpendicular distance of the two ...
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.