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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... Cylinder , Cone , and Sphere , Promiscuous examples of Solids , V. Isoperimetry , 23 26 41 57 59 APPENDIX - Part I. Mensuration of the Conic Sections and other figures , 70 Part II . Gauging of Casks , Notes , Table of Circular Segments ...
... Cylinder , Cone , and Sphere , Promiscuous examples of Solids , V. Isoperimetry , 23 26 41 57 59 APPENDIX - Part I. Mensuration of the Conic Sections and other figures , 70 Part II . Gauging of Casks , Notes , Table of Circular Segments ...
Página 40
... the last column of this ta- ble , see Hutton's Mensuration , Part III . Sec . 2 . Ex . What is the solidity of a regular octaedron whose . edges are each 32 inches ? Ans . 15447 inches . 1 SECTION IV . * THE CYLINDER , CONE , AND.
... the last column of this ta- ble , see Hutton's Mensuration , Part III . Sec . 2 . Ex . What is the solidity of a regular octaedron whose . edges are each 32 inches ? Ans . 15447 inches . 1 SECTION IV . * THE CYLINDER , CONE , AND.
Página 41
... CYLINDER , CONE , AND SPHERE . ART . 61. DEFINITION I. A RIGHT CYLINDER is a solid described by the revolu- tion of a rectangle about one of its sides . The ends or bases are evidently equal and parallel circles . And the axis , which ...
... CYLINDER , CONE , AND SPHERE . ART . 61. DEFINITION I. A RIGHT CYLINDER is a solid described by the revolu- tion of a rectangle about one of its sides . The ends or bases are evidently equal and parallel circles . And the axis , which ...
Página 42
... CYLINDER . 62. Multiply the length into the circumference of the base . If a right cylinder be covered with a thin substance like paper , which can be spread out into a plane ; it is evident that the plane will be a parallelogram ...
... CYLINDER . 62. Multiply the length into the circumference of the base . If a right cylinder be covered with a thin substance like paper , which can be spread out into a plane ; it is evident that the plane will be a parallelogram ...
Página 43
... cylinder , which is 2 feet in diameter and 36 feet long ? The convex surface is The area of the two ends ( Art . 30. ) is The whole surface is 226.1945 6.2832 232.4777 3. What is the whole surface of a ... cylinder , whose THE CYLINDER . 43.
... cylinder , which is 2 feet in diameter and 36 feet long ? The convex surface is The area of the two ends ( Art . 30. ) is The whole surface is 226.1945 6.2832 232.4777 3. What is the whole surface of a ... cylinder , whose THE CYLINDER . 43.
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.