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Seite 81 - Parallelograms upon the same base, and between the same parallels, are equal to one another.
Seite 89 - The volumes of similar solids are to each other as the cubes of their like dimensions.
Seite 27 - 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.
Seite 24 - 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...
Seite 82 - ... principle that similar figures are to each other as the squares of their homologous sides.
Seite 11 - 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.
Seite 11 - To find the area of a circle, whose diameter is 7, and circumference 22. Ans.