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
Resultados 1-5 de 41
Página 27
... solidity , * or solid contents of a body , is finding the number of cubic measures , of some given denom- ination , contained in the body . 1728 In solid measure . cubic inches 1 cubic foot , 27 cubic feet 44921 cubic feet 32768000 ...
... solidity , * or solid contents of a body , is finding the number of cubic measures , of some given denom- ination , contained in the body . 1728 In solid measure . cubic inches 1 cubic foot , 27 cubic feet 44921 cubic feet 32768000 ...
Página 28
... SOLIDITY of a PRISM . 43. Multiply the area of the base by the height . This is a general rule , applicable to parallelopipeds wheth- er right or oblique , cubes , triangular prisms , & c . As surfaces are measured , by comparing them ...
... SOLIDITY of a PRISM . 43. Multiply the area of the base by the height . This is a general rule , applicable to parallelopipeds wheth- er right or oblique , cubes , triangular prisms , & c . As surfaces are measured , by comparing them ...
Página 29
... solidity of a wall which is 22 feet long , 12 feet high , and 2 feet 6 inches thick ? Ans . 660 cubic feet . 3. What is the capacity of a cubical vessel which is 2 feet 3 inches deep ? Ans . 11F . 4 8 " 3 " " , or 11 feet 675 inches . 4 ...
... solidity of a wall which is 22 feet long , 12 feet high , and 2 feet 6 inches thick ? Ans . 660 cubic feet . 3. What is the capacity of a cubical vessel which is 2 feet 3 inches deep ? Ans . 11F . 4 8 " 3 " " , or 11 feet 675 inches . 4 ...
Página 30
... SOLIDITY of a PYRAMID . 48. Multiply the area of the base into of the height . The solidity of a prism is equal to the product of the area of the base into the height . ( Art . 43. ) And a pyramid is of a prism of the same base and ...
... SOLIDITY of a PYRAMID . 48. Multiply the area of the base into of the height . The solidity of a prism is equal to the product of the area of the base into the height . ( Art . 43. ) And a pyramid is of a prism of the same base and ...
Página 31
... solidity of the pyramid is 225.48 feet . What is the solidity of a pyramid whose perpendicu- Far height is 72 , and the sides of whose base are 67 , 54 , and 40 ? Ans . 25920 . PROBLEM IV . To find the LATERAL SURFACE of a REGULAR ...
... solidity of the pyramid is 225.48 feet . What is the solidity of a pyramid whose perpendicu- Far height is 72 , and the sides of whose base are 67 , 54 , and 40 ? Ans . 25920 . PROBLEM IV . To find the LATERAL SURFACE of a REGULAR ...
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.