...¿4хг . Now in every quadrilateral Figure infcrib'd in a Circle, the Reclangle oí the Diagonals is equal to the Sum of the Rectangles of the oppofite Sides ot the Quadrangle. Hence ¿xf-foy__= vfal—yi x a1 —blx- ; and i* ax-= Va~— Уг x лг—Ь*х"~...

...being given, the area will be.a maximum when the figure is infcribcd in a circle. But the redtangle of the two diagonals of any trapezium infcribed in a circle is tqual to the fum of the reclangles of the oppofite fides : therefore DExBC = DCxBE + D В x С E ;...

...being given, the area will be a maximum when the figure is infcribed in a circle. But the reftangle of the two diagonals of any trapezium infcribed in a circle is equal to the fum of the retfangles of the oppofite fides: Therefore DRY. BC=DCx HE +DB XCEine half of which is (=...

...being given, the area will be a maximum when the figure is infcribed in a circle. But the rectangle of the two diagonals of any trapezium infcribed in a circle is equal to the furaof the reftanglcs of the oppofite fides : Therefore DEY, BC — DCX li E + DBXCE ; the half of...

...first time that we know of, that the rectangle of the two diagonals of any quadrilateral inscribed in a circle, is equal to the sum of the rectangles of its opposite sides (c). After the time of Ptolemy and his commentator Theon, little more is known on...