An Introduction to Mensuration and Practical GeometryKimber & Sharpless, 1829 - 252 pages |
From inside the book
Results 1-5 of 9
Page ix
... circle , 64 To find the length of any arc of a circle , 67 To find the area of a circle , 70 To find the area of a sector of a circle , To find the area of a segment of a circle , To find the area of a circular zone , To find the area of a ...
... circle , 64 To find the length of any arc of a circle , 67 To find the area of a circle , 70 To find the area of a sector of a circle , To find the area of a segment of a circle , To find the area of a circular zone , To find the area of a ...
Page 79
... circular segment be 40 , its versed sine 10 , and the diameter of the circle 50 , what is the area ? 5.0 ) 1.0 .2 = tabular versed sine . .111823 tabular segment . 2500 s square of 50 . 55911500 223646 279.557500 = area required . 2 ...
... circular segment be 40 , its versed sine 10 , and the diameter of the circle 50 , what is the area ? 5.0 ) 1.0 .2 = tabular versed sine . .111823 tabular segment . 2500 s square of 50 . 55911500 223646 279.557500 = area required . 2 ...
Page 80
... segments multi- plied by the square of the circle's diameter will give the area of the zone . Note 2. - When the larger segment AEB is greater than a semicircle , find the areas of the segments AGB and DCE , and subtract their sum from ...
... segments multi- plied by the square of the circle's diameter will give the area of the zone . Note 2. - When the larger segment AEB is greater than a semicircle , find the areas of the segments AGB and DCE , and subtract their sum from ...
Page 100
... segment by that axe of the ellipse of which it is a part , and find in the table a circular segment , whose versed sine is equal to the quotient . * Demon . Let the transverse diameter 2AB = t , the con- jugate CD = C , AG = x , and EG ...
... segment by that axe of the ellipse of which it is a part , and find in the table a circular segment , whose versed sine is equal to the quotient . * Demon . Let the transverse diameter 2AB = t , the con- jugate CD = C , AG = x , and EG ...
Page 101
... segment EAF , whose height AG is 10 , and the axis of the ellipse 2AB and CD , 35 and 25 respectively . E F 10.0000 ... circular segment to the elliptic segment . PROBLEM VI . To describe a parabola , any ordinate I 2 101.
... segment EAF , whose height AG is 10 , and the axis of the ellipse 2AB and CD , 35 and 25 respectively . E F 10.0000 ... circular segment to the elliptic segment . PROBLEM VI . To describe a parabola , any ordinate I 2 101.
Common terms and phrases
9 inches ABCD adba altitude arch axis base Bisect breadth bung cask centre chord of half circle whose diameter circular circular segment circumference cone CONIC SECTIONS conjugate diameter convex surface cube curve cylinder Demon describe arcs cutting describe the arc diagonal distance divided draw the line ellipse equal EXAMPLES feet 6 inches feet 9 figure find the area find the solidity fluxion foot girt give the solidity given line greater end half the arc hexagon hyperbola hypothenuse length less abscissa less end linear side measure multiply the sum ordinate parabola parallel pentagon perpendicular PROBLEM prolate spheroid pyramid quotient radius rectangle regular polygon Required the area Required the solidity rhombus right line roof segment semicircle sine of half slant height SLIDING RULE solid content solidity required specific gravity sphere spheroid square root thickness transverse diameter trapezium ullage versed sine Whence wine gallons yard
Popular passages
Page ii - Co. of the said district, have deposited in this office the title of a book, the right whereof they claim as proprietors, in the words following, to wit : " Tadeuskund, the Last King of the Lenape. An Historical Tale." In conformity to the Act of the Congress of the United States...
Page 50 - The areas of circles are to each other as the squares of their diameters.
Page 19 - Parallel straight lines are such as are in the same plane, and which, being produced ever so far both ways, do not meet.
Page 125 - To find the solidity of a cylinder. RULE. — Multiply the area of the base by the altitude, and the product will be the solidity.
Page 21 - 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 56 - Multiply the half sum and the three remainders continually together, and the square root of the product will be the area...
Page 54 - To find the area of a rectangular board, whose length is 12-^ feet, and breadth 9 inches. Ans. 9f feet.
Page 96 - As the conjugate diameter is to the transverse, So is the square root of the difference of the squares of the ordinate and semi-conjugate, To the distance between the ordinate and centre.
Page 16 - A sector is any part of a circle bounded by an arc, and two radii drawn to its extremities. A quadrant, or quarter of a circle...
Page 54 - To find the Area of a Triangle. Rule ] . Multiply the base by the perpendicular height, and half the product will be the area.