We describe a possibility for geometric calculation of specific conics’ intersections in Geometric Algebra for Conics (GAC) using its operations that may be expressed as sums of products. The advantage is that no solver for a system of quadratic equations is needed and thus no numerical error is involved. We also describe specific conics connected to intersections of conics in a general mutual position. Then we show how symbolic operations may be calculated directly in GAALOPWeb software, that the basis coefficients may be read off in the appropriate basis and, moreover, the result may be immediately and truly visualized. We compare the functionality with Maple package Clifford.

我们描述了在圆锥几何代数 (GAC) 中使用可以表示为乘积和的运算对特定圆锥的交点进行几何计算的可能性。优点是不需要二次方程组的求解器，因此不涉及数值误差。我们还描述了连接到一般相互位置的圆锥曲线的交点的特定圆锥曲线。然后我们展示了如何在 GAALOPWeb 软件中直接计算符号运算，可以在适当的基础上读取基系数，而且，结果可以立即真实地可视化。我们将功能与 Maple 包 Clifford 进行比较。