A treatise on special or elementary geometry (1877)
Olney, Edward, 1827-1887, Olney, Edward, 1827-1887. Elements of trigonometry, plane and spherical · New York : Sheldon · leaf 323
drilateral. If AD is notequal to DC, ADC can be replaced by the isoscelesisoperimetric triangle ADC, and the area of the quadri-lateral increased. So ABC can be replaced by ABC. There-fore ABCD > ABCD. In like manner if AD is not equalto AB , DAB can be replaced by the maximum isoperi-metric… … Fig. 478. ISOPERIMETRY. 305 932. JProb.—Having given a quadrilateral, to constrtict themaxivium isoijerimetric quadrilateral. 933. Theo.— Of isoperir}ietric quadrilaterals luitli a constantbase, the maximum has its three remaining sides equal each to each,and the angles ivhich they include equal.…
Geometry · Trigonometry
Internet Archive · California Digital Library · Public Domain Mark 1.0. Free to use for anything.
