. Trigonometria. circle, is equal to the rectangle made ot the fumme and difference ofthe fines. Demonftration. Let the given arc hes be D A and A B, and from the points at D and A drawthe diameters D H and A F, let D E be equal to D C, and E G equal to C B, and from D letfall the perpendicular D N, which let be continued to L, and from the points C and B let fall theperpendicular C P and B S, then are the arches C £ and B G bi-feeted by the Diameter D H,in the points R and Q.: Therefore B Q. fliall be the fine of the fumme of the arches B A andA D, and C R the fine of C D the difference ; D N


. Trigonometria. circle, is equal to the rectangle made ot the fumme and difference ofthe fines. Demonftration. Let the given arc hes be D A and A B, and from the points at D and A drawthe diameters D H and A F, let D E be equal to D C, and E G equal to C B, and from D letfall the perpendicular D N, which let be continued to L, and from the points C and B let fall theperpendicular C P and B S, then are the arches C £ and B G bi-feeted by the Diameter D H,in the points R and Q.: Therefore B Q. fliall be the fine of the fumme of the arches B A andA D, and C R the fine of C D the difference ; D N the fine of D A, and N S equal to M B, thefine of A B, and therefore D S is the fumme, and D P the difference of the fines D A and A B snow then in the Quadrilateral Figure C £ G B, the rectangle made of C £ and G B, with therectangle made of C B and S G is equal to the rectangle made of £ B and C G, OughtredcUvisMathemat.£h*$.Tb, £G and C B being equal (by conftruction) and C E common to C 6 D loonomclna Btitamiica.


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Keywords: ., bookcentury1600, bookdecade1650, bookidtrigonometri, bookyear1658