A Treatise on Practical Mensuration in Eight Parts ...T. Wilson and sons; and sold by Longman, Hurst, Rees, Orme, Brown, and Green, 1824 - 434 σελίδες |
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Σελίδα 20
... ABCD . D C A Draw the diagonal B , and parallel to it draw CE , meeting AB produce in E. shall the triangle ADE be ABCD . Join the points DE ; so equal to the trapezium PROBLEM XXII . To make a right angle by the 20 ( PART 1. ) GEOMETRICAL.
... ABCD . D C A Draw the diagonal B , and parallel to it draw CE , meeting AB produce in E. shall the triangle ADE be ABCD . Join the points DE ; so equal to the trapezium PROBLEM XXII . To make a right angle by the 20 ( PART 1. ) GEOMETRICAL.
Σελίδα 27
... ABCD , DBCE be upon the same base BC , and between the same parallels AE , BC ; the parallelogram ABCD is equal to the parallel- ogram DBCE . ( Euc . I. 35 , Simp . II . 2. Em . III . 6. ) A Ꭰ E B 28 THEOREM VI . Let the triangles ABC ...
... ABCD , DBCE be upon the same base BC , and between the same parallels AE , BC ; the parallelogram ABCD is equal to the parallel- ogram DBCE . ( Euc . I. 35 , Simp . II . 2. Em . III . 6. ) A Ꭰ E B 28 THEOREM VI . Let the triangles ABC ...
Σελίδα 31
... ABCD , the sum of the squares of the two diagonals AC , BD , is equal to the sum of the squares of all the four sides of the parallelogram . ( Simp . 11. 12. Em . III . 9. ) D C A B THEOREM XVI . All similar figures are in proportion to ...
... ABCD , the sum of the squares of the two diagonals AC , BD , is equal to the sum of the squares of all the four sides of the parallelogram . ( Simp . 11. 12. Em . III . 9. ) D C A B THEOREM XVI . All similar figures are in proportion to ...
Σελίδα 36
... ABCD , the side of which is 8 feet 6 inches ? D C By Decimals . A B FEET . 8.5 8.5 425 680 72.25 feet . 12 3.00 inches . Answer 72 feet 3 inches . By Duodecimals . FEET . INCHES . 8 6 8 6 68 4 72 3 Answer . 03 2. Required the area of a ...
... ABCD , the side of which is 8 feet 6 inches ? D C By Decimals . A B FEET . 8.5 8.5 425 680 72.25 feet . 12 3.00 inches . Answer 72 feet 3 inches . By Duodecimals . FEET . INCHES . 8 6 8 6 68 4 72 3 Answer . 03 2. Required the area of a ...
Σελίδα 37
... roods and perches , by mul- tiplying them successively by 4 , and by 40 , cutting off five figures as before , in each product . E EXAMPLES . 1. Required the area of the rectangle ABCD ( PART 11. ) 37 OF SUPERFICIES . 364 of a rectangle,
... roods and perches , by mul- tiplying them successively by 4 , and by 40 , cutting off five figures as before , in each product . E EXAMPLES . 1. Required the area of the rectangle ABCD ( PART 11. ) 37 OF SUPERFICIES . 364 of a rectangle,
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Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 308 - An Account of the Mode of Draining Land, according to the System practised by Mr. Joseph Elkington.
Σελίδα 48 - RULE.* Multiply the sum of the parallel sides by the perpendicular distance between them, and half the product will be the area.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 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.