This section is from the book "Anatomy Of The Arteries Of The Human Body", by John Hatch Power. Also available from Amazon: Anatomy of the Arteries of the Human Body, with the Descriptive Anatomy of the Heart.
This artery arises from the pudic in its fourth stage; it then passes downwards, forwards, and inwards, between the layers of the triangular ligament, near its posterior lunated margin, and terminates by dividing into two branches; viz.: a small one to Cowper's gland, and a larger to the bulb of the urethra.
On account of the fibrous structure through which this artery passes, it cannot retract when divided: hence the great danger from hemorrhage when it has been wounded in lithotomy. In order to avoid this accident, the operator should endeavor to open into the membranous portion of the urethra towards its lower surface, and as far behind the bulb as possible.