Enestrom Number
601
Fuss Index
303
Original Language
Latin
Content Summary
Euler begins with the fact that, given four points A, B, C, D in the plane, they can either form a quadrilateral or a triangle with the fourth point on the interior, and that knowing which of these and knowing five of the six distances between points, the sixth distance is determined. He then uses this to find relations among the angles, such as sin(A). Euler does the same thing for cyclic quadrilaterals.
Published as
Journal article
Published Date
1786
Written Date
1775
Original Source Citation
Acta Academiae Scientiarum Imperialis Petropolitanae, Volume 1782: I, pp. 3-18.
Opera Omnia Citation
Series 1, Volume 26, pp.258-269.
Record Created
2018-09-25
