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Geometry for schools : theoretical (1904)

Baker, Alfred, 1848-1942 · Toronto : W.J. Gage · leaf 74

An illustration from Geometry for schools : theoretical, 1904, leaf 74
figures are upon the same base, one of themlieing entirely within the other and having no re-entrant angles.Show that the outer figure has the greater perimeter. 70 Geometry. t A I Proposition XVI. Theorem. If two triangles have two sides of the oneequal to two sides of the other, each to each,but… … Let ABC, DEF be two As, having AB = DE, AC = DF;but the ZBAC > the ZEDF. Tlim the hase BC «■ > the base EF.Apply the A ABC so that A falls on D, and AB on DE.Then B coincides Avith E, because AB = DE.Let C fall at G.If F falls on EG, then evidently EG>EF and .-. BOEF,But if not, let DH…

Geometry · Geometry, Plane

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