Elementary plane geometry : inductive and deductive / by Alfred Baker . angle KHC can be cut out, pushedto the left, and made to coverexactly the triangle HGB. Next draw GL paraUel to BE or CF, and KM par-allel to AB or CD. The figure EHKM can now becut out, pushed to the left, and made to cover exactly 67 58 the figure LGHD; and the triangle FMK can be cutout, moved to the left, and made to cover exactly thetriangle LAG. Thus the area EBCF is made to coin-cide with the area ABCD, and they are equal. If the parallelo- a d E F giams be much in-clined from oneanother, more thanone lin


Elementary plane geometry : inductive and deductive / by Alfred Baker . angle KHC can be cut out, pushedto the left, and made to coverexactly the triangle HGB. Next draw GL paraUel to BE or CF, and KM par-allel to AB or CD. The figure EHKM can now becut out, pushed to the left, and made to cover exactly 67 58 the figure LGHD; and the triangle FMK can be cutout, moved to the left, and made to cover exactly thetriangle LAG. Thus the area EBCF is made to coin-cide with the area ABCD, and they are equal. If the parallelo- a d E F giams be much in-clined from oneanother, more thanone line correspond-ing to GHK mustbe drawn. The ac-companying figure Billustrates how EBCF must be cut up so that its sec-tions may exactly make up ABCD. Correspondingnumbers are placed on the figures, which are to beplaced on one another. It will be noticed, however,that all the triangles, on both sides, numbered from 1to 6, can be made to coincide with one another, »Several pairs of parallelograms should be constructed,each pair with the same base and between the sameparallels, and the cutting just described should be doneso as to show that each pair may be made to should be taken to illustrate the different casesthat may occur. The figures, of course, must be accur-ately and completely drawn before t


Size: 2157px × 1159px
Photo credit: © The Reading Room / Alamy / Afripics
License: Licensed
Model Released: No

Keywords: ., bookcentury1900, bookdecade1900, bookpublishertoron, bookyear1903