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2006-11-05
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2006-08-04
三角形的心  -  [ Study&Research ]

Triangle Centers

The circumcenter is the center of the triangle's circumcircle. It can be found as the intersecion of the perpendicular bisectors.

The incenter is the center of the incircle for a given triangle. It can be found as the intersection of angle bisectors.

The intersection of the three altitudes of a triangle is called the orthocenter.

The geometric centroid(center of mass) of a triangle is the intersection of the triangle's three triangle medians. The point is therefore sometimes called the median point.






2006-08-03
为何使用表格排版是不明智的  -  [ 随便写写 ]

http://www.hotdesign.com/seybold/chinese/everything.html

一篇非常不错的关于WEB排版的文章.






2006-07-31
Theorems in plane Euclidean geometry  -  [ Study&Research ]

The product of two sides of a triangle is equal to the product of the altitude of the third side and the diameter of the circumscribed circle of the triangle.

The altitude of an isosceles triangle is not only perpendicular, it also bisects the base.






2006-07-27
Beauty of mathematics  -  [ Study&Research ]

Form: http://chiragmehta.info/chirag/2006/07/26/beauty-of-mathematics-2/

1 x 8 + 1 = 9
12 x 8 + 2 = 98
123 x 8 + 3 = 987
1234 x 8 + 4 = 9876
12345 x 8 + 5 = 98765
123456 x 8 + 6 = 987654
1234567 x 8 + 7 = 9876543
12345678 x 8 + 8 = 98765432
123456789 x 8 + 9 = 987654321

1 x 9 + 2 = 11
12 x 9 + 3 = 111
123 x 9 + 4 = 1111
1234 x 9 + 5 = 11111
12345 x 9 + 6 = 111111
123456 x 9 + 7 = 1111111
1234567 x 9 + 8 = 11111111
12345678 x 9 + 9 = 111111111
123456789 x 9 +10= 1111111111

and

9 x 9 + 7 = 88
98 x 9 + 6 = 888
987 x 9 + 5 = 8888
9876 x 9 + 4 = 88888
98765 x 9 + 3 = 888888
987654 x 9 + 2 = 8888888
9876543 x 9 + 1 = 88888888
98765432 x 9 + 0 = 888888888

1 x 1 = 1
11 x 11 = 121
111 x 111 = 12321
1111 x 1111 = 1234321
11111 x 11111 = 123454321
111111 x 111111 = 12345654321
1111111 x 1111111 = 1234567654321
11111111 x 11111111 = 123456787654321
111111111 x 111111111=12345678987654321






 

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