13
PROBLEM II.
Having two right lines AB CD given in poſition, it is required to draw 2
circle, whoſe Radius ſhall be equal to the given line Z, which ſhall alſo touch
both the given lines.
circle, whoſe Radius ſhall be equal to the given line Z, which ſhall alſo touch
both the given lines.
Case 2d.
Suppoſe AB and CD to be inclined to each other, let them be
produced till they meet in E, and let the angle BED be biſected by EH, and
through E draw EF perpendicular to ED, and equal to the given line Z; through
F draw FG parallel to EH, meeting ED in G, and through G draw GH paral-
lel to EF. I ſay that the circle deſcribed with H center, and HG radius,
touches the two given lines: it touches CD, becauſe EFGH is a
produced till they meet in E, and let the angle BED be biſected by EH, and
through E draw EF perpendicular to ED, and equal to the given line Z; through
F draw FG parallel to EH, meeting ED in G, and through G draw GH paral-
lel to EF. I ſay that the circle deſcribed with H center, and HG radius,
touches the two given lines: it touches CD, becauſe EFGH is a