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Advanced Math Class at Raleigh Chinese School | Assignments and selective materials related to the Math Class I teach at the Raleigh Chinese School

Assignments and selective materials related to the Math Class I teach at the Raleigh Chinese School (by serendipity)

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Advanced Math Class at Raleigh Chinese School | Assignments and selective materials related to the Math Class I teach at the Raleigh Chinese School | aaup.wordpress.com Reviews
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Assignments and selective materials related to the Math Class I teach at the Raleigh Chinese School (by serendipity)
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1 desargues’ theorem
2 must
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5 gergonne point
6 fermat point
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8 afb= bfc= afc=120
9 leave a comment
10 ceva’s theorem
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Advanced Math Class at Raleigh Chinese School | Assignments and selective materials related to the Math Class I teach at the Raleigh Chinese School | aaup.wordpress.com Reviews

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Assignments and selective materials related to the Math Class I teach at the Raleigh Chinese School (by serendipity)

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1

Desargues’ Theorem | Advanced Math Class at Raleigh Chinese School

https://aaup.wordpress.com/2008/04/02/desargues-theorem

Advanced Math Class at Raleigh Chinese School. April 2, 2008 at 12:05 am · Filed under Math Class-RACL. Interestingly, the proof of this theorem is rather intuitive in 3-dimensional space, while the 2-dimensional case is best proved by taking a 3-dimensional perspective. Notice that in the statement of the theorem, we deliberately didn’t say if the two triangles are coplanar. Now let’s start with the generic 3-dimensional case. The set of points (P,A1,A2,C1,C2) is coplanar, so are (P,C1,C2,B1,B2) and.

2

February | 2008 | Advanced Math Class at Raleigh Chinese School

https://aaup.wordpress.com/2008/02

Advanced Math Class at Raleigh Chinese School. Archive for February, 2008. Feb 23 – Law of Sine. February 23, 2008 at 3:48 pm · Filed under Math Class-RACL. Today, we will be looking further at the triangle and its circumscribing circle (CC), by investigating the relationship between the side lengths of the triangle and the diameter of its CC. This will lead to one of the central theorem about triangles, namely, the law of Sine. A classical proof of the Law of Sine is outlined below. 1 the relational pro...

3

Other Interesting Centers of Triangles | Advanced Math Class at Raleigh Chinese School

https://aaup.wordpress.com/2008/03/31/other-interesting-centers-of-triangles

Advanced Math Class at Raleigh Chinese School. Other Interesting Centers of Triangles. March 31, 2008 at 2:39 pm · Filed under Math Class-RACL. Let Ta, Tb, Tc be the tangent points where the incircle touches the three sides of the triangle ABC. Gergonne Point is the point at which the lines ATa, BTb, CTc intersects, as shown below. The proof that the lines are concurrent is easy using Ceva (Homework for you). The point is named after the French mathematician Joseph Gergone (1771-1859). Thus AFC = 120.

4

April | 2008 | Advanced Math Class at Raleigh Chinese School

https://aaup.wordpress.com/2008/04

Advanced Math Class at Raleigh Chinese School. Archive for April, 2008. April 2, 2008 at 12:05 am · Filed under Math Class-RACL. Interestingly, the proof of this theorem is rather intuitive in 3-dimensional space, while the 2-dimensional case is best proved by taking a 3-dimensional perspective. Notice that in the statement of the theorem, we deliberately didn’t say if the two triangles are coplanar. Now let’s start with the generic 3-dimensional case. As are A1B1 with A2B2, and C1B1 with C2B2. Advanced ...

5

March 29 – Homework | Advanced Math Class at Raleigh Chinese School

https://aaup.wordpress.com/2008/03/29/march-29-homework

Advanced Math Class at Raleigh Chinese School. March 29 – Homework. March 29, 2008 at 5:00 pm · Filed under Math Class-RACL. Homework for this week. Prove that the angular bisectors of the three angles of a triangle meets at one point, using Ceva’s theorem. Rel="bookmark" title="Permanent link to March 29 – Homework" class="permalink" Permalink. Leave a Reply Cancel reply. Enter your comment here. Fill in your details below or click an icon to log in:. Address never made public). More on Euler Line.

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Advanced Math Class at Raleigh Chinese School | Assignments and selective materials related to the Math Class I teach at the Raleigh Chinese School

Advanced Math Class at Raleigh Chinese School. April 2, 2008 at 12:05 am · Filed under Math Class-RACL. Interestingly, the proof of this theorem is rather intuitive in 3-dimensional space, while the 2-dimensional case is best proved by taking a 3-dimensional perspective. Notice that in the statement of the theorem, we deliberately didn’t say if the two triangles are coplanar. Now let’s start with the generic 3-dimensional case. The set of points (P,A1,A2,C1,C2) is coplanar, so are (P,C1,C2,B1,B2) and.

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