Richmond Heights borders Euclid on the west, Lyndhurst and South Euclid on the south, Highland Heights on the east, and Willoughby Hills to the north.

Acting almost as a central point for the east side of the Greater Cleveland area, South Euclid is bordered by Cleveland, Cleveland Heights, University Heights, Beachwood, Lyndhurst, Richmond Heights, and Euclid.

South Euclid has partnered with nearby Lyndhurst to form several recreational groups:

* SELREC-South Euclid Lyndhurst Recreation.

* SELSC-South Euclid Lyndhurst Soccer Club.

While at Euclid High School, Smith became the only player to ever win Ohio's Mr. Football Award twice ( in 1988 and 1989 ), until Erick Howard matched the feat, 20 years later ( in 2008 and 2009 ).

The 1980 American League Cy Young Award winner grew up in South Euclid.

* David S. Ward – screenwriter and director, lived in South Euclid as a youth, most famous for The Sting in 1973, and Major League in 1989.

Terrence Edward Kennedy ( on June 4, 1956 in Euclid, Ohio ) is a former All-Star Major League Baseball catcher who played for the St. Louis Cardinals ( 1978 – 80 ), San Diego Padres ( 1981 – 86 ), Baltimore Orioles ( 1987 – 88 ) and San Francisco Giants ( 1989 – 91 ).

Euclid does not go beyond a third measuring and gives no numerical examples.

Euclid ’ s algorithm appears as Proposition II in Book VII (" Elementary Number Theory ") of his Elements.

Euclid stipulated this so that he could construct a reductio ad absurdum proof that the two numbers ' common measure is in fact the greatest.

In his work Prodromo dell ' Arte Maestra ( 1670 ) he proposes a lighter-than-air vessel based on logical deductions from previous work ranging from Archimedes and Euclid to his contemporaries Robert Boyle and Otto von Guericke.

Here Dürer favours the methods of Ptolemy over Euclid.

Greek mathematician Euclid mentioned the special case of the binomial theorem for exponent 2 as did the 3rd century B. C.

: Foundations of Geometry ) published by Hilbert in 1899 proposes a formal set, the Hilbert's axioms, substituting the traditional axioms of Euclid.

They avoid weaknesses identified in those of Euclid, whose works at the time were still used textbook-fashion.

The axioms unify both the plane geometry and solid geometry of Euclid in a single system.

A clear exposition of the " errors " of Euclid and of the solutions presented in the Grundlagen der Geometrie, with reference to non-Euclidean geometry.

The Elements mentions neither symmetry nor reflexivity, and Euclid probably would have deemed the reflexivity of equality too obvious to warrant explicit mention.

Euclid ( ; Eukleidēs ), fl.

In the Elements, Euclid deduced the principles of what is now called Euclidean geometry from a small set of axioms.

Euclid also wrote works on perspective, conic sections, spherical geometry, number theory and rigor.

The few historical references to Euclid were written centuries after he lived, by Proclus and Pappus of Alexandria.

Proclus introduces Euclid only briefly in his fifth-century Commentary on the Elements, as the author of Elements, that he was mentioned by Archimedes, and that when King Ptolemy asked if there was a shorter path to learning geometry than Euclid's Elements, " Euclid replied there is no royal road to geometry.

" Although the purported citation of Euclid by Archimedes has been judged to be an interpolation by later editors of his works, it is still believed that Euclid wrote his works before those of Archimedes.

In the only other key reference to Euclid, Pappus briefly mentioned in the fourth century that Apollonius " spent a very long time with the pupils of Euclid at Alexandria, and it was thus that he acquired such a scientific habit of thought.

" It is further believed that Euclid may have studied at Plato's Academy in Athens.

There is no mention of Euclid in the earliest remaining copies of the Elements, and most of the copies say they are " from the edition of Theon " or the " lectures of Theon ", while the text considered to be primary, held by the Vatican, mentions no author.

The only reference that historians rely on of Euclid having written the Elements was from Proclus, who briefly in his Commentary on the Elements ascribes Euclid as its author.

During this period he married, and farmed in Lyndhurst, Hampshire.

It was Henrietta who introduced Disraeli to Lord Lyndhurst, with whom she later became romantically involved.

* Alastair John Lyndhurst Bruce, 5th Baron Aberdare ( b. 1947 )

Joey Ramone was interred at Hillside Cemetery in Lyndhurst, New Jersey.

* January 11 – German saboteurs set off the Kingsland Explosion at Kingsland, NJ ( now Lyndhurst, NJ ), one of the events leading to U. S. involvement in WWI.

Among them are Lyndhurst in Tarrytown, Kykuit in Pocantico Hills, the Jay Heritage Center in Rye, Caramoor in Katonah and Glenview in Yonkers.

The Lyndhurst ( Jay Gould Estate ) | Lyndhurst Estate in Tarrytown, New York | Tarrytown.

He was buried in Hillside Cemetery in Lyndhurst, New Jersey.

His portrayal of the elder brother to Rodney ( Nicholas Lyndhurst ) produced classic comic scenes and touching serious moments.

From St. Michael & All Angels Church, Lyndhurst, Hampshire

Nicholas Lyndhurst is shown in one scene walking out of the pub.

George Martin's AIR recording studios, in converted church premises in Lyndhurst Road, is a current example, as Jim Henson's Creature Shop was, before it relocated to California.

One mission house of the area was Lyndhurst Hall, which remained in use before being taken over by the Council.

* Hawken School, the upper school campus counterpart of Hawken School in Lyndhurst.

* Andrew J. Anderson Elementary School: Built in 1952 on Anderson Road in Lyndhurst.

Rutherford is bounded by the Passaic River bordering Clifton and Passaic to the west, the Erie Railroad bordering East Rutherford to the north and east, the Hackensack River bordering Secaucus to the southeast, and Berrys Creek, Wall Street West and Rutherford Avenue bordering Lyndhurst to the south and southwest.