In geometry, an arbelos is a plane region bounded by three semicircles with three apexes such that each corner of each semicircle is shared with one of the others (connected), all on the …

The term "arbelos" means shoemaker's knife in Greek, and this term is applied to the shaded area in the above figure which resembles the blade of a knife used by ancient cobblers (Gardner …

1999年5月25日 · The term ``arbelos'' means Shoemaker's Knife in Greek, and this term is applied to the shaded Area in the above figure which resembles the blade of a knife used by ancient …

鞋匠刀形 (arbeloa)是一种特殊的图形，若C是线段AB上的任一点，分别以AB，BC，CA为直径且在AB的同侧作半圆，则这三个半圆周所围成的图形称为鞋匠刀形 [1]。 《定理汇编》是一本十分 …

2007年10月17日 · Figure 1. The Arbelos Problem 1. We will warm up on an easy problem: Show that traveling from A to B along the big semicircle is the same distance as traveling from A to B …

Archimedes lived from 287 BC until he was killed by a Roman soldier in 212 BC. He is usually considered to be one of the three greatest mathematicians of all time, the other two being …

2014年5月20日 · The arbelos (“shoemaker’s knife” in Greek) is named for its resemblance to the blade of a knife used by cobblers (Figure 1). The arbelos is a plane region bounded by three …

The arbelos (“shoemaker’s knife” in Greek) is named for its resemblance to the blade of a knife used by cobblers (Figure 1). The arbelos is a plane region bounded by three semicir-

If, in a given semicircle with radius R and diameter AB, two semicircles with radii r 1 and r 2, where r 1 does not equal r 2 and r 1 + r 2 = R, are constructed on diameter AB so that they …

The parbelos, a parabolic analog of the arbelos Jonathan Sondow Abstract The arbelos is a classical geometric shape bounded by three mutually tangent semicircles with collinear …