Conical sections,circle

thingiverse

Human: In geometry, a conic section is an amazing curve generated as the intersection of a cone with a plane. Normally, there are three fundamental types of conic sections: ellipses, parabolas, and hyperbolas. Ellipses, specifically circles (where a circle is essentially an ellipse), often get enough attention that some people call them the fourth type of conic section. This awesome project focuses on designing a simple model of a circle as a unique type of conic section. Moreover, your instructor can choose to add their own parameters for the section and then ask you to provide all the essential calculations required for this project. An extra design challenge adds both parts of the cone together so they fit snugly like a jigsaw puzzle to form a complete cone. How I Described This Design This engaging project was designed in FreeCAD solely using standard primitives. Illustration from a reputable online source. Project: Exploring Conic Sections Goals: This introduction to CAD is focused on the principles of teaching position and boolean operations on basic shapes. You can also use this project to gain better insight into mathematical concepts. Target Audience: This project aligns well with the teaching of conics, so it can be used in conjunction with that lesson. Preparation Required: Understanding basics like primitives, positioning, and boolean operations, as well as some familiarity with involved mathematics, is necessary for success. It's a basic design that should be easy to replicate using any CAD program preferred by the instructor. Step-by-Step Instructions: First, create suitable cone and cube primitives. Then position them as required and use boolean subtraction to take out one of the shapes from the other. The Outcomes Are Achieving fundamental placement and boolean operations mastery, plus gaining deeper insight into mathematical conic sections. This project is also an excellent opportunity to introduce students to the loft operation by combining two circles using this utility.