Articles from October 2011



Tackling Cancer with Free Online Math

The recent death of Apple founder Steve Jobs from pancreatic cancer at the young age of fifty-six highlights the dismal progress in the War on Cancer, despite over $200 billion, over one million published research papers, and the efforts of hundreds of thousands of highly qualified, hard working, committed researchers since 1971. Steve Jobs inspiring [...]

Arc

There are a number of meanings for the word “arc” in mathematics. In general, an arc is any smooth curve joining two points. The length of an arc is known as its arc length. In a graph, a graph arc is an ordered pair of adjacent vertices. In particular, an arc is any portion (other [...]

Woo Circle as special case of Archimedean circle

A Woo circle is an Archimedean circle with center on the Schoch line and tangent to certain other circles. An applet for investigating Woo circles and Schoch lines has been prepared by Schoch. How to construct a Woo circle? Very easy! Chose any nonnegative real number m. Draw two circles (magenta) centered on the arbelos [...]

Schoch Line

In the arbelos especially in 5th grade math , consider the semicircles K1 and K2 with centers A and C passing through B. The Apollonius circle K3 of K1,  K2 , and the large semicircle of the arbelos is an Archimedean circle A1 . This circle has radius p=½r(1-r)  (as it must), and center A1=(r(1-r)√((1+r)(2-r)), ½r(1+3r-2r²))  [...]

Tutorial about Bankoff Circle

Hello Students! Today we’ll be speak about bankoff circle. Only here you can get help from free online math tutor Jimmy. The circle through the cusp of the arbelos and the tangent points of the first Pappus circle, which is congruent to the two Archimedes’ circles. If  AB = r and AC = 1 , then [...]

Archimedes’ Circles

Draw the perpendicular line from the intersection of the two small semicircles in the arbelos. The two circles and tangent to this line, the large semicircle, and each of the two semicircles are then congruent and known as Archimedes’ circles. For an arbelos with outer semicircle of unit radius and parameter , Archimedes’ circles have [...]