A Treatise on Practical Mensuration in Eight Parts ...T. Wilson and sons; and sold by Longman, Hurst, Rees, Orme, Brown, and Green, 1824 - 434 pages |
From inside the book
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Page xvii
... segment , of any curvilineal figure , by means of equi - distant ordinates , A Table of circular segments , LAND SURVEYING , PART III . SECTION I. Miscellaneous Instructions , To measure a field of three sides , — a field of four sides ...
... segment , of any curvilineal figure , by means of equi - distant ordinates , A Table of circular segments , LAND SURVEYING , PART III . SECTION I. Miscellaneous Instructions , To measure a field of three sides , — a field of four sides ...
Page xix
... segment of a sphere , ... ... 160 161 ... 162 the solidity and convex surface of the frustum of a sphere , ... ... the solidity and surface of a circular spindle , 163 the solidity of the middle frustum or zone of a circular spindle ...
... segment of a sphere , ... ... 160 161 ... 162 the solidity and convex surface of the frustum of a sphere , ... ... the solidity and surface of a circular spindle , 163 the solidity of the middle frustum or zone of a circular spindle ...
Page 7
... segment is any part of a circle , bounded by an arc and its chord . 44. A semicircle is half of a circle , or a segment cut off by the diameter , as ADB . 45. A quadrant is the fourth part of a circle , as ADC . 46. A sector is any part ...
... segment is any part of a circle , bounded by an arc and its chord . 44. A semicircle is half of a circle , or a segment cut off by the diameter , as ADB . 45. A quadrant is the fourth part of a circle , as ADC . 46. A sector is any part ...
Page 30
... segments of the base ; and each of the sides is a mean proportional between the base and its segment adjacent to that side ; therefore , BD is to DA , as DA to DC ; BC is to BA , as BA to BD ; and BC is to CA , as CA to CD . ( Euc . VI ...
... segments of the base ; and each of the sides is a mean proportional between the base and its segment adjacent to that side ; therefore , BD is to DA , as DA to DC ; BC is to BA , as BA to BD ; and BC is to CA , as CA to CD . ( Euc . VI ...
Page 31
... segments , are in proportion to each other , as the radii or diameters of the circles . ( Em . IV . 8 & 9 . ) THEOREM XVIII . Circles are to each other as the squares of their radii , diameters , or circumferences . ( Em . IV . 35 ...
... segments , are in proportion to each other , as the radii or diameters of the circles . ( Em . IV . 8 & 9 . ) THEOREM XVIII . Circles are to each other as the squares of their radii , diameters , or circumferences . ( Em . IV . 35 ...
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Common terms and phrases
18 feet 9 inches ABCD absciss acre altitude arch architraves avoirdupois base bottom brick building canal cask centre chains chord circle circular circumference column cone contain cornice cubic foot cubic inches cubic yards cylinder deducted depth diagonal distance ditto divided door eaves ellipse equal EXAMPLES feet 6 inches feet 9 figure find the area find the solidity floor foot found by Problem frustum given greater end ground half the sum head diameter hyperbola length less end malt bushels measure method miles Note ordinate parallel perpendicular perpendicular height piece of timber polygon prism quarter girt quotient radius regular polygon remainder Required the solidity rhombus right angle roods roof segment side slant height Sliding Rule solidity required spindle square root square yard stone surface thickness transverse diameter trapezium trapezoid tree triangle ullage versed sine vessel wall whole window wine gallons wood
Popular passages
Page 7 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
Page 196 - The monarch oak, the patriarch of the trees, Shoots rising up, and spreads by slow degrees ; Three centuries he grows, and three he stays, Supreme in state, and in three more decays...
Page 27 - ... are equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D ; the exterior angle ACD is equal to the two interior and opposite angles CAB, ABC ; and the three interior angles of the triangle, viz. ABC, BCA, CAB, are together equal to two right angles.
Page 308 - An Account of the Mode of Draining Land, according to the System practised by Mr. Joseph Elkington.
Page 48 - RULE.* Multiply the sum of the parallel sides by the perpendicular distance between them, and half the product will be the area.
Page 42 - From half the sum of the three sides, subtract each side severally ; multiply the half sum, and the three remainders together, and the square root of the product will be the Area required. Example. — Required the Area of a Triangle, whose sides are 50, 40, and 30 feet. 50 + 40 + 30.. fin half sum of the three sides.
Page 8 - A circle is a plane figure bounded by a curved line called the circumference, every point of which is equally distant from a point within called the center, Fig.
Page 135 - Persepolis, left standing upright ; one is 70 feet above the plane, and the other 50 ; in a straight line between these, stands an ancient...
Page i - Nesbit's Mensuration, and Key. A Treatise on Practical Mensuration : containing the most approved Methods of drawing Geometrical Figures; Mensuration of Superficies; Land Surveying; Mensuration of Solids ; the Use of the Carpenter's Rule ; Timber Measure, in which is shewn the method of Measuring and Valuing Standing Timber ; Artificers' Works, illustrated by the Dimensions and Contents of a House; a Dictionary of the Terms used in Architecture, &c.
Page 227 - WORK. Plasterers' work is principally of two kinds; namely, plastering upon laths, called ceiling, and plastering upon walls or partitions made of framed timber, called rendering. In plastering upon walls, no deductions are made except for doors and windows, because cornice, festoons, enriched moldings, etc., are put on after the room is plastered.