Categories
Intermediate

The steam locomotive

Two tangent circles, a chord towards the tangency point and a tangent. What’s the proportion a : b in terms of radii R and r?

Scroll down for a solution to this problem.

Solution

The proportion a : b is √(R/(R+r)).

Solution by 諺風説子 using the Tangent-secant theorem.

Poem

The steam locomotive
A jewel of the railway birth
Rack and pinion locomotive
Pulled so many wagons
And made us people happy
Powerfull machine
Very popular at altitude
They accompanied our travels
Our dreams of escape
Our love stories and our tears
The steam loco so friendly

Bella

close

🤞 Don’t miss these puzzles!

Subscribe to the weekly geometry puzzle e-mail.

One reply on “The steam locomotive”

Leave a Reply

Your email address will not be published.

Optionally add an image (JPEG only)