. The railroad and engineering journal . ius E P. Problem 51 (fig. 95). To describe a circle about a given tri-angle, A B C. If ^ i? C be the given triangle, bisect any two sides, as A Band A C, by the perpendiculars g h and e f, intersecting eachother in the point D. From Z) as a center and /) .4 as a radiusthe required circle may be drawn. Problem 52 (fig. 96). To inscribe a circle in a given triangle,ABC. \{ A B C\>^ the given triangle, bisect any two of the angles—as ABC and C A jS—by the straight lines A D and B D in-tersecting in the point D. From D draw a E, to any si
. The railroad and engineering journal . ius E P. Problem 51 (fig. 95). To describe a circle about a given tri-angle, A B C. If ^ i? C be the given triangle, bisect any two sides, as A Band A C, by the perpendiculars g h and e f, intersecting eachother in the point D. From Z) as a center and /) .4 as a radiusthe required circle may be drawn. Problem 52 (fig. 96). To inscribe a circle in a given triangle,ABC. \{ A B C\>^ the given triangle, bisect any two of the angles—as ABC and C A jS—by the straight lines A D and B D in-tersecting in the point D. From D draw a E, to any side, as A B. Then with £> as a center and D Eas a radius describe a circle which will touch the three sides ofthe triangle. Problem 53 (fig. 97). To inscribe in an equilateral triangle,ABC, the three largest triangles which it will contain, and whichwill be tangent to each other and to the sides of the triangle. II A B C be the triangle, draw A G, B F and C E, bisect-ing the angles and sides of the triangle, and intersecting each. Fig- 95- Fig. 96. Fig- 97- other in 0. Bisect the right angle A E 0 hy 3i line E //, the point of intersection of E K with A 0, draw 326 THE RAILROAD AND [July, 1890. HL parallel with A B, ///parallel with A C. and join thepoints of intersection of // /. and // / with £ F ani C E hy &line J D parallel with CB. From //, J and D as centers and C
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Keywords: ., bookcentury1800, bookdecade1880, booksubjectrailroa, bookyear1887
