. Haswell's engineers' and mechanics' pocket-book ... gate, according as the greateror less abscissa is used, add, or subtract the square root of the dif-ference of the squares of the ordinate and semi-conjugate. Then,as this sum or difference is to the abscissa, so is the conjugate tothe transverse. Example.—The ordinate, F E, is 24; the less abscissa, F B, is20 ; and the conjugate, C D, is 60. 30—^242-302 — 12 ;then 12 : 20 : : 60 : 100 Ans, The Transverse^ Ordinate, and Ahscissce heing given, to find the Con-jugate—fig. 3. Rule.—As the square root of the product of the abscissae is to theor
. Haswell's engineers' and mechanics' pocket-book ... gate, according as the greateror less abscissa is used, add, or subtract the square root of the dif-ference of the squares of the ordinate and semi-conjugate. Then,as this sum or difference is to the abscissa, so is the conjugate tothe transverse. Example.—The ordinate, F E, is 24; the less abscissa, F B, is20 ; and the conjugate, C D, is 60. 30—^242-302 — 12 ;then 12 : 20 : : 60 : 100 Ans, The Transverse^ Ordinate, and Ahscissce heing given, to find the Con-jugate—fig. 3. Rule.—As the square root of the product of the abscissae is to theordinate, so is the transverse diameter to the conjugate. Example.—The transverse is 100, the ordinate 24, one abscissa20, the other 80. -v/80X20 : 24 : : 100 : 60 Ans. PARABOLAS. Any three of the four following terms heing given, viz., any two Or-dinates and their Abscissce, to find the fourth—fig. —As any abscissa is to the square of its ordinate, so i^ ?^Rother abscissa to the square of its ordinate. CONIC SECTIONS. 4. e 57. Example.—The abscissa, e g, is 50, its ordinate, c g, ; re-quired the ordinate A F, whose abscissa, e F, is : ^ : : 100 : ^2500 r=r 50 Ans.
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Keywords: ., bookcentury1800, bookdecade184, booksubjectmechanicalengineering
