Principles of Architecture: Comprising Fundamental Rules of the Art, with Their Application to Practice: Also Rules for Shadows for the Five OrdersH. G. Bohn, 1848 - 280 pages |
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Page xiii
... frustum of a parabola , the two parallel ends and their distance between being given Definitions OF SOLIDS . 1. To find the solidity of a prism 11. To find the solidity of a pyramid III . To find the solidity of the frustum of a pyramid ...
... frustum of a parabola , the two parallel ends and their distance between being given Definitions OF SOLIDS . 1. To find the solidity of a prism 11. To find the solidity of a pyramid III . To find the solidity of the frustum of a pyramid ...
Page 117
... frustum of a parabola , whose parallel ends AB and CD are given ; also their distance EF . To the sum of the squares of the greater and lesser ends add their product . Divide the sum so obtained by the sum of the two ends . Two thirds ...
... frustum of a parabola , whose parallel ends AB and CD are given ; also their distance EF . To the sum of the squares of the greater and lesser ends add their product . Divide the sum so obtained by the sum of the two ends . Two thirds ...
Page 118
... frustum ; and the parts wanting at the ends to complete the tapering solid , are called segments . 11. If a frustum or any tapering solid be cut by a plane diagonally , from the extremity at one end , to the opposite extremity at the ...
... frustum ; and the parts wanting at the ends to complete the tapering solid , are called segments . 11. If a frustum or any tapering solid be cut by a plane diagonally , from the extremity at one end , to the opposite extremity at the ...
Page 121
... frustum of a square pyramid . To the rectangle of the sides of the two ends add the sum of their squares ; that sum being multiplied by the height , one third of the product will give the solidity . EXAMPLE . Let ABCDEFG be the frustum ...
... frustum of a square pyramid . To the rectangle of the sides of the two ends add the sum of their squares ; that sum being multiplied by the height , one third of the product will give the solidity . EXAMPLE . Let ABCDEFG be the frustum ...
Page 122
... frustum of a square pyramid , one side of the base , AB or BC , being 3f . 6i ; each side , DE or EF , of the top being 2f . 31 ; and the perpendicular height HI , 6f . 9i ; required the solidity . f . i 3 6 × 2 3 10 6 7 0 7 10 6 ...
... frustum of a square pyramid , one side of the base , AB or BC , being 3f . 6i ; each side , DE or EF , of the top being 2f . 31 ; and the perpendicular height HI , 6f . 9i ; required the solidity . f . i 3 6 × 2 3 10 6 7 0 7 10 6 ...
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Common terms and phrases
ABCD answer arch architrave ARITHMETIC base bisect breadth brick thick called cathetus centre chord ciphers circumference columns cone conic sections convex cornice curve cylinder cylindroidal decimals denomination describe the arc diagonals distance divide dividend divisor Doric order double ordinate draw lines draw the lines duodecimals ellipsis entablature EXAMPLE feet find the area find the solidity fraction frieze frustum give the solidity given number given point Grecian half bricks hyperbola ichnography inches join latus rectum length manner measure method metopes mouldings multiplicand multiplied number of equal ovolo parabola perpendicular plane PLATE 51 points F PRACTICAL GEOMETRY PROB PROBLEM VII proceed proportion quadrant quotient radius rectangle remainder right angles right line root segment semicircle shadow side spiral square superficies surface tangent theatre of Marcellus transverse axis trapezium triangle triglyph vacuity vulgar fraction
Popular passages
Page 3 - A Segment is any part of a circle bounded by an arc and its chord.
Page 96 - To find the Area of a Triangle. /.'•'/..• ]. Multiply the base by the perpendicular height, and half the product will be the area.
Page 205 - ... and suppose the rays to proceed from the right to the left hand of the object, and parallel to a vertical plane which is inclined at an angle of forty-five degrees with the elevation of the object ; then it is plain, that since the angle of reflection is equal to the angle of incidence, the greatest part of the rays which fall upon the horizon will...
Page 2 - Plane figures that are bounded by right lines have names according to the number of their sides, or of their angles ; for they have as many sides as angles ; the least number being three.
Page 36 - Los números cardinales 0: zero 1: one 2: two 3: three 4: four 5: five 6: six 7: seven 8: eight 9: nine 10: ten 11: eleven 12: twelve 13: thirteen 14: fourteen 15: fifteen 16: sixteen 17: seventeen 18: eighteen 19: nineteen 20: twenty...
Page 1 - Line, or Straight Line, lies all in the same direction between its extremities, and is the shortest distance between two points.
Page 68 - Divide by any number that will divide two or more of the given numbers without a remainder, and set the quotients, together with the undivided numbers, in a line beneath.
Page 87 - ROOT of any given number, or power, is such a number as, being multiplied by itself a certain number of times, will produce the power ;. and it is denominated the first, second, third, fourth, fcfc.
Page 96 - 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.
Page 61 - ... of God to the adequate knowledge of the essence of things. All this I will explain by one example. Let there be three numbers given through which it is required to discover a fourth which shall be to the third as the second is to the first. A merchant does not hesitate to multiply the second and third together and divide the product by the first...