WOLFRAM NOTEBOOK

WOLFRAM|DEMONSTRATIONS PROJECT

Equality of a Segment and an Arc in Archimedes's Spiral

​
move
2.8416
OT = 8.0747
arc POK = 8.0747
This Demonstration illustrates Proposition 20 of Archimedes's work On Spirals.
Let
P
be any point on the first turn of the spiral, and let
T
be the intersection of the tangent to the spiral at
P
, with the perpendicular to
OP
at
O
. Then
OT=arcPOK
.
Wolfram Cloud

You are using a browser not supported by the Wolfram Cloud

Supported browsers include recent versions of Chrome, Edge, Firefox and Safari.


I understand and wish to continue anyway »

You are using a browser not supported by the Wolfram Cloud. Supported browsers include recent versions of Chrome, Edge, Firefox and Safari.