An Introduction to Mensuration and Practical GeometryKimber & Sharpless, 1829 - 252 pages |
From inside the book
Results 1-5 of 11
Page 37
... octagon . If the arc AE be again bisected , a polygon may be form- ed of 16 sides and by another bisection , a polygon of 32 sides ; and so on . D : PROBLEM XXII . * To inscribe a pentagon , or PRACTICAL GEOMETRY . 37.
... octagon . If the arc AE be again bisected , a polygon may be form- ed of 16 sides and by another bisection , a polygon of 32 sides ; and so on . D : PROBLEM XXII . * To inscribe a pentagon , or PRACTICAL GEOMETRY . 37.
Page 38
... pentagon . 1. Draw the diameters Ap , nm , at right angles to each other , and bisect the radius On in r . 2. From ... pentagon required . For the decagon . Bisect the arc AE of the pentagon in c , and the line Ac being carried ten times ...
... pentagon . 1. Draw the diameters Ap , nm , at right angles to each other , and bisect the radius On in r . 2. From ... pentagon required . For the decagon . Bisect the arc AE of the pentagon in c , and the line Ac being carried ten times ...
Page 41
... pentagon . E D m B n 1. Inscribe a pentagon in the circle ; or , which is the same thing , find the points m , n , v , r , s , as in Prob . XXII . 2. From the centre o to each of these points , draw the radii on , om , ov , or , and os ...
... pentagon . E D m B n 1. Inscribe a pentagon in the circle ; or , which is the same thing , find the points m , n , v , r , s , as in Prob . XXII . 2. From the centre o to each of these points , draw the radii on , om , ov , or , and os ...
Page 42
... pentagon required . Note . - If tangents be drawn through the angular points A , B , C , D , E , a pentagon circumscribing the circle will be formed ; and if the arcs be bisected , a circumscribing de- cagon may be formed . * In the ...
... pentagon required . Note . - If tangents be drawn through the angular points A , B , C , D , E , a pentagon circumscribing the circle will be formed ; and if the arcs be bisected , a circumscribing de- cagon may be formed . * In the ...
Page 48
... pentagon . D. g ་ IC A r B n 1. Produce AB towards n , and at the point B make the perpendicular Bm equal to AB . 2. Bisect AB in r , and from r as a centre , with the radius rm , describe the arc mn , cutting AB in n . 3. From the ...
... pentagon . D. g ་ IC A r B n 1. Produce AB towards n , and at the point B make the perpendicular Bm equal to AB . 2. Bisect AB in r , and from r as a centre , with the radius rm , describe the arc mn , cutting AB in n . 3. From the ...
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.