Key to the Irish Commissioners' Treatise on Mensuration ... |
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9 inches acres area corresponding area segment answering base chord of half cone CONIC SECTIONS cube cubic inches denotes divided ellipse feet 6 inches find the area find the circumference find the side find the solidity find the superficies find the surface frustum gallons Given the diameter Given the side Given the transverse greater abscissa greater end half the arc half the sum Hence 60 lesser end longer abscissa mean breadth mean proportional MENSURATION multiplied number of links parabola perches perpendicular Problem IX Problem XV Problem XVIII quantity quarter girt radius rood rule second remainder second triangle Section semi-conjugate similar triangles slant height specific gravity square equal square root square yards tabular area tabular versed sine third remainder three sides trapezium trapezoid A B C whole circle whole figure XVII zone
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Strona 97 - Parallelograms upon the same base, and between the same parallels, are equal to one another.
Strona 105 - The volumes of similar solids are to each other as the cubes of their like dimensions.
Strona 43 - RULE. — Proceed, as in the last rule, for this, or any other solid, formed by the revolution of a conic section about an axis, namely : Add together the squares of the greatest and least diameters, and the square of double the diameter in the middle between the two; multiply the sum by the length, and the product by '1309, and it will give the solidity.
Strona 40 - Ana. 2094-4. PROBLEM XIX. To find the solidity of the segment of a spheroid, the base of the segment being parallel to the revolving axis of the spheroid. CASE I. RULE. From three times the fixed axis, deduct twice the height of the segment, multiply the remainder by the square of the height, and that product by -5236. Then...
Strona 98 - ... principle that similar figures are to each other as the squares of their homologous sides.
Strona 23 - RULE.* 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.
Strona 11 - To find the area of a circle, whose diameter is 7, and circumference 22. Ans.