A Treatise on Practical MensurationLongman, Brown, Green, Longmans, & Roberts, 1859 - 450 pages |
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Page xv
... perpendicular from a given point , in a given line From a given point , to let fall a perpendicular upon a given line - · To find the centre of a given circle , or one already described To make a triangle with three given lines Having ...
... perpendicular from a given point , in a given line From a given point , to let fall a perpendicular upon a given line - · To find the centre of a given circle , or one already described To make a triangle with three given lines Having ...
Page xvi
... perpendicular from any point , in a given line , by a scale of equal parts Given the span or chord line , and height or versed sine of the arch of a bridge or cellar , to find the radius of the circle that will strike the arch ...
... perpendicular from any point , in a given line , by a scale of equal parts Given the span or chord line , and height or versed sine of the arch of a bridge or cellar , to find the radius of the circle that will strike the arch ...
Page 3
... perpendicular is let fall from the vertex or opposite angle ; and the altitude of a figure is its perpendicular height . In the last figure , AB is the base , and CD the perpendicular . 26. A figure of four sides and angles is ...
... perpendicular is let fall from the vertex or opposite angle ; and the altitude of a figure is its perpendicular height . In the last figure , AB is the base , and CD the perpendicular . 26. A figure of four sides and angles is ...
Page 8
... perpendicular from a given point C , in a given line AB . CASE 1. When the point is near the middle of the line . On each side of the point C , take any two equal distances , Cm and Cn . From m and n , as centres , with any radius ...
... perpendicular from a given point C , in a given line AB . CASE 1. When the point is near the middle of the line . On each side of the point C , take any two equal distances , Cm and Cn . From m and n , as centres , with any radius ...
Page 9
... perpendicular required . D * CASE 2. When the given point C is nearly opposite to the end of the given line . From C draw the line CM to meet AB , in any point M. Bisect the line CM in the point N ; and with the centre N , and radius CN ...
... perpendicular required . D * CASE 2. When the given point C is nearly opposite to the end of the given line . From C draw the line CM to meet AB , in any point M. Bisect the line CM in the point N ; and with the centre N , and radius CN ...
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Common terms and phrases
9 inches ABCD absciss altitude arch architraves barometer base bottom breadth bung diameter bushels cask centre chord circle circumference conjugate content in imperial cornice cosine cubic inches deducted diagonal difference distance ditto divided elliptic equal EXAMPLES feet 6 inches feet 9 figure find the area find the content find the solidity foot frustum gallons and bushels Gauging girt given greater guile-tun half the sum head diameter hence horizontal hyperbola hypothenuse imperial bushels imperial gallons latitude length line of numbers logarithm mean measure meridian method miles Multiply Note opposite angle ordinate parallel perpendicular piece of timber plane polygon quotient radius rectangle regular polygon rhombus right angles segment side sine 90 slant height Sliding Rule square root station subtract surface tangent theodolite thickness transverse diameter trapezium tree ullage versed sine vessel whence
Popular passages
Page 5 - 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 126 - Take the length of the keel within board (so much as she treads on the ground) and the breadth within board by the midship beam, from plank to plank, and half the breadth for the depth, then multiply the length by the breadth, and that product by the depth, and divide the whole by 94; the quotient will give the true contents of the tonnage.
Page 276 - LIQUID MEASURE 4 gills (gi.) = 1 pint (pt.) 2 pints = 1 quart (qt...
Page 36 - RULE.* Multiply the sum of the parallel sides by the perpendicular distance between them, and half the product will be the area.
Page 5 - 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 centre ; as ABD E. 2.
Page 120 - 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 250 - An account of the mode of Draining Land, according to the System practised by Mr. Joseph Elkington.
Page 119 - In turning a one-horse chaise within a ring of a certain diameter, it was observed that the outer wheel made two turns, while the inner made but one : the wheels were both...
Page 5 - Plane figures that have more than four sides are, in general, called Polygons ; and they receive other particular names, according to the number of their sides or angles.
Page 323 - For the purpose of measuring angles, the circumference is divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; each minute into 60 equal parts called seconds.