A complete and practical solution book for the common school teacher (1899)
Fairchild, J[ohn] T[heodore] [from old catalog] · Crawfis College, Ohio, The author · leaf 211
axes of an ellipse are 60 and 80 ft., what are the areas of thetwo segments into which it is divided by a line perpendicular to themajor axis, at the distance of 10 ft. from the center? Solution. (1) Let ADAD represent a cir- cle, EAS the segment ofthe ellipse ABAB, andDAD the segment of thecircle.… … FIG. 78. MENSURATION. 197 of the ellipse::CB : CA. (7) .. 1723.46 : the segment of the ellipse:: 40 : 30. (8) From which we find the area of the segment of the ellipse to be 1292.56 sq. ft. (9) The area of the ellipse is (40X 30)tt=3769.92 sq. ft. (by the above rule). 3769.92—1292.56 = 2477.36 sq.…
Arithmetic · Geometry
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![An illustration from Nicolai Copernici Torinensis De reuolutionibus orbium coelestium, libri VI : Habes in hoc opere iam recens nato, & aedito, studiose lector, motus stellarum, tam fixarum, quàm erraticarum, cum ex ueteribus, tum etiam ex recentibus obseruationibus restitutos: & nouis insuper ac admirabilibus hypothesibus ornatos. Habes etiam tabulas expeditissimas, ex quibus eosdem ad quoduis tempus quàm facillime caculare poteris. Igitur eme, lege, fruere. [Line in Greek] (1543)](https://img.insideoutlibrary.com/img/200/ia-nicolaicopernici00cope-63-39.webp)
