perplexus.info :: General : Equal Tangents

Equal Tangents (Posted on 2010-10-03)

C(UV) denotes the circle with diameter UV.

T(P,QR) denotes the tangential distance |PS|,
where point P lies outside C(QR), point S
lies on C(QR), and PS is tangent to C(QR).

Let A, B, C, and D be distinct, collinear
points in that order.

Construct a point E on line AD such that
|EF| = T(E,AB) = T(E,CD) = |EG|

See The Solution Submitted by Bractals

Rating: 3.0000 (1 votes)

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re(3): Construction	Charlie	2010-10-05 01:05:46
re: Algebraic solution leads to geometric	Larry	2010-10-04 22:34:19
re(2): Construction	brianjn	2010-10-04 21:13:39
re(2): Does this work?	broll	2010-10-04 12:20:04
re: Does this work?	Charlie	2010-10-04 12:16:49
re: Construction	Charlie	2010-10-04 12:05:22
Does this work?	broll	2010-10-04 02:53:11
Construction	brianjn	2010-10-04 02:20:35
No Subject	Ady TZIDON	2010-10-03 15:40:05
re: Algebraic solution	Bractals	2010-10-03 14:39:12
Algebraic solution	Larry	2010-10-03 14:14:53

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info