A complete and practical solution book for the common school teacher . FIG. (1) Let ABC be a right triangle, and describe a semicircleon each side. (2) The area of ABC equals the area of the two lunes Z andX taken together. (8) The area of the semicircledescribed on AB=the sumof the semicircles described FIG- S6- upon AC and CB. (4) Now from each take the two segments cut off by AC andCB, and the triangle ABC remains of the larger semi-circle, and two lunes Z and X of the two smaller semi-circles. Q. E. D. PROBLEM 370. May and Ruth were cutting- out tickets for a recital, from a pieceof c
A complete and practical solution book for the common school teacher . FIG. (1) Let ABC be a right triangle, and describe a semicircleon each side. (2) The area of ABC equals the area of the two lunes Z andX taken together. (8) The area of the semicircledescribed on AB=the sumof the semicircles described FIG- S6- upon AC and CB. (4) Now from each take the two segments cut off by AC andCB, and the triangle ABC remains of the larger semi-circle, and two lunes Z and X of the two smaller semi-circles. Q. E. D. PROBLEM 370. May and Ruth were cutting- out tickets for a recital, from a pieceof cardboard, and the part remaining- was in the form of a segment ofa circle, the height and base measur-ing exactly 2 in. and 12 in. The girls,being mathematically inclined, set towork to find the diameter of the circlefrom which the. segment was cut:what was the diameter? Solution. (1) Let ABC be the segment, and CD=2, AD=12 in. (2) Join CD, and produce CD to E, join EB. Then the two
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Keywords: ., bookcentury1800, bookdecade1890, booksubject, booksubjectgeometry
