怎样用圆规画心脏线和肾脏线

怎样用圆规画心脏线和肾脏线
怎样用圆规画心脏线和肾脏线

怎样用圆规画心脏线和肾脏线
心臟線 1 4-4 Construct the cardioid. (以1:1的兩圓畫出心臟線) 2 4-11 Construct the cardiois as the envelope of a family of circles. (以一組圓畫出心臟線) 3 4-16 Construct the cardiois as the envelope of a family of line segments. (以一組線段畫出心臟線) 4 4-8 Construct the the double generation of the cardioid. (畫出心臟線的兩種生成法)) 5 以拋物線的方式畫出心臟線 6 5-1 Show that there are three parallel tangents to the cardioid with any given gradient; if we connect the points of tangency to the cusp, the three segments meet at equal angles of 2p/3; the area of the triangle formed by the points of tangency is constant; (心臟線中三條平行線的特性) 7 5-1 b.the tangents at the ends of any chord through the cusp of a cardioid are at right angles; c.the length of any chord through the cusp of a cardioid is constant; 8 5-2 Construct the rectangle enclosed by the tangents and normal at the ends of any chord through the cusp of a cardioid. What's so particular about the vertices of this rectangle? 9 5-3 Take five points on a cardioid with the corresponding points on the base circle forming a regular pentagon. What properties does the figure have? 10 5-3 (承上題,過此五點的法線有何性質?) 11 5-4 Construct an animation displaying a cardioid sliding along two orthogonal straight lines. (畫一心臟線延著兩軸移動) 12 5-5 Illustrate the principle behind the cardioid condenser. (畫出光線在心臟線折射的情形) 13 5-6 Illustrate the harmonic motion associated with the rotation of the cardioid about its cusp. (畫出心臟線繞著尖點轉動的情景) 14 5-7 Construct the formation of the envelope of light rays, emitted from a radiant point source on a circle, after reflection by the same circle. (用一組折射光線畫出心臟線) 15 5-8 Construct an animation displaying two cardioids having the same cusp and are orthogonal to each other. (畫出兩正交的心臟線且有相同的尖點,其中一心臟線不會動) 16 5-8 Construct an animation displaying two cardioids having the same cusp and are orthogonal to each other. (畫出兩正交的心臟線且有相同的尖點,兩心臟線都會動) 17 7-8 Construct two identical cardioids each rotating about its cusp meeting orthogonally on the line segment joining the cusps. (畫出兩正交的心臟線,且其切線的交點延著一線段跑) 18 7-9 Let AB be a fixed diameter of a circle O. Through a variable point C on O construct two cardioids with AB and BC as tangents and with the cusps at the distance of 2AB apart. (畫出兩正交的心臟線,且切線的交點繞著圓跑) 19 8-4 Design a linkage to draw the cardioid. (用 linkage 畫出心臟線)