科目名稱 非歐幾何 授課教師 全任重 教室 綜三數圖電腦室 辦公室 綜三629 電話 3029 網頁 http://poncelet.math.nthu.edu.tw/disk3/non-euclidean/ e-mail jcchuan@math.nthu.edu.tw 使用軟體 Cabri Geometry 評分原則 網頁的表現、上課的表現
 最新版的Cabrijava cabrijava.jar hyperbol.men 簡史 諮詢中心 cabriweb.jar.zip 參考資料 1 參考資料 2 參考資料 3
 課程內容 9/13 Introduction, Cabri Geometry, Pappus Theorem, Pascal's Theorem 9/18 typhoon 9/20 inversion, construction of inversion using the comapss alone, orthogonal circles, d-line, compass under the Poincare's model,  four-circle theorem 9/25 Inclusion of cabrijava to the webpage, Theorem of a Chain of Four Tangential Circles, exercise: given three points, construct three mutually tangent circles having these points as centers. 9/27 Common Tangent Circles of Two Given Circles 10/2 Pascal Theorem in conics, Brianchon's Theorem, degenerate cases of Briancheon's theorem, principle of duality, pole, polar, coaxal circles, orthogonal circles. inverse of circle and straight line, Projective geometry, Theorem of Desargues, triangles in perspective, Polar line of a point with respect to a triangle, Harmonic rangle, Harmonic properties of the quadrangle and quadrilateral 10/4 cross-ratio 10/9 doubly perspective triangles 10/11 Monge's theorem 10/16 Theorem on triply perspective triangles 10/18 horocycle, hypercycle 10/23 Centers, incenter, centroid, ex-center, circumcenter, orthocenter 10/25 isogonal conjugates 10/30 radical axis, 3-circle theorem, 4-circle theorem 11/1 Triangle Centers 11/6 upper half-plane model, moebius transformation 11/8 consturctions under the Poincare's model 11/13 length 11/15 symmedian point 11/20 Gergonne point 11/27 Nagal point 11/29 butterfly theorem 12/4 Conics in Poincare's model 12/6 Conics in Poincare's model 12/11 Steiner's Porisms 12/13 special cases and generalized cases of Steiner's Porism 12/25 Poncelet's Porism 12/27 special cases and generalized cases of Poncelet's Porism 1/3 Results hold true under both geometries
 學號 姓名 所系班別 870260 戴劍英 數學系四年級純數組 893208 曾俊榮 數學系碩士班純數組 893212 侯杰材 數學系碩士班純數組 903206 黃彥彰 數學系碩士班純數組 903254 楊澤璿 數學系碩士班應數組 903264 吳偉弘 數學系碩士班應數組