Mabel Minerva Young

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Mabel Minerva Young
BornJuly 18, 1872
Worcester, Massachusetts
DiedMarch 4, 1963
Wellesley, Massachusetts
NationalityAmerican
Alma materWellesley College
OccupationMathematician
Known forLewis Attenbury Stimson Professor of Mathematics at Wellesley College

Mabel Minerva Young (1872 – 1963) was an American mathematician active at Wellesley College.

Life

Young was born July 18, 1872, in

Northfield Seminary. In 1904 she began her long service at Wellesley College, beginning as an assistant in mathematics
and becoming a full professor.

Taking a leave of absence, she studied for her Ph.D. with Frank Morley at Johns Hopkins University. Her thesis was titled "Dupin's cyclide as a self-dual surface".[1] With her doctoral degree, Young was eventually promoted to professor and became Lewis Attenbury Stimson Professor of Mathematics at Wellesley College.[2]

In 1933 Young contributed an article to

circumcenters, centroids, and centers of the nine-point circle
are approached using projective properties of the triangles.

Young became

emeritus professor
in 1941. She died March 4, 1963, at Wellesley.

Solutions of AMM problems

One of the features of

elegance, and five involving geometry
were by Mabel Young.

Given a point and a circle, find the locus of second circles where the

analytical geometry solution established a condition on the radii.[4]

A given segment subtends an angle from a point on another line. As the point moves along its line, find the envelope of the bisectors of the angles. Young's solution established the class of the envelope curve using projective geometry.[5]

Let a point and a pair of intersecting planes be fixed. Then as a variable line lies on the point, find the locus of the midpoint of the segment determined by the planes. Young's solution starts with a line p through the point and parallel to the intersection of the planes. She identified the locus as a hyperbolic cylinder through use of a third parallel midway between the others that is the projective harmonic conjugate of a line at infinity.[6]

In a triangle ABC the feet of the

complete quadrilateral. Young's solution used the radical axis of the circumcircle and nine-point circle of the triangle.[7]

Young proposed construction of a

orthocenter of AOB is a strophoid.[8]

Another problem required the

Gergonne point and Nagel point of the triangle to obtain the concurrence.[9]

References

  1. ^ M.M. Young (1916) American Journal of Mathematics 38(3): 269–286
  2. ISBN 978-0-415-92040-7
    .
  3. doi:10.2307/2302171
  4. doi:10.2307/2299905
  5. doi:10.2307/2299401
  6. doi:10.2307/2299405
  7. doi:10.2307/2299286
  8. doi:10.2307/2300979
  9. doi:10.2307/2300985
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