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adjacent angles angle ABC angle opposite angle y bases basis and height bisected called centre chord circum circumference circumscribed circle consequently construct the triangle DEMon diagonal diameter draw the lines equal angles equal sides exterior angle found by multiplying fourth term geometrical figures geometrical proportion given angle given circle given straight line given triangle hypothenuse inscribed circle isosceles triangle line AB line AC line CD line MN mean proportional number of sides parallel lines parallelogram perpendicular points of division PROBLEM prove quadrilateral radii radius rectangle ABCD rectilinear figure regular polygon ABCDEF remaining sides Remark right angles right-angular triangle Sect semicircle side a b side AB side AC similar triangles smaller Solution square feet square inches square seconds tangent third line three angles three sides trapezoid trian triangle ABC triangle are equal vertex zoid
Page 197 - Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.
Page 213 - HDG, the corresponding sides are proportional (page 70, 4thly) ; therefore we have the proportion ED : DG =AD : HD (II.) This last proportion has the first ratio common with the first proportion ; consequently the two remaining ratios are in a geometrical proportion (Theory of Prop., Prin. 3d) ; that is, we have AD : HD = DG: BD; and as, in...
Page 175 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
Page 178 - The perimeters of two regular polygons of the same number of sides, are to each other as their homologous sides, and their areas are to each other as the squares of those sides (Prop.
Page 177 - The side of a regular hexagon inscribed in a circle is equal to the radius of the circle.