数学的实践与认识
數學的實踐與認識
수학적실천여인식
MATHEMATICS IN PRACTICE AND THEORY
2009年
22期
185-189
,共5页
工程制图%圆柱%圆锥%相贯%交线
工程製圖%圓柱%圓錐%相貫%交線
공정제도%원주%원추%상관%교선
mechanical drawing%cylinder%cone%going through with the two axles at right angles%intersecting curve
在工程制图中,圆柱圆锥正交相贯时,其交线上的某些特殊点总是近似求出.以正投影理论为基础,以圆柱圆锥正交相贯的数学模型为依据,提出了一种准确、简便、可靠的求解方法.方法对于手工或计算机准确绘制该交线、对圆管平交正锥台三通下料等工程问题,都很有实用价值.
在工程製圖中,圓柱圓錐正交相貫時,其交線上的某些特殊點總是近似求齣.以正投影理論為基礎,以圓柱圓錐正交相貫的數學模型為依據,提齣瞭一種準確、簡便、可靠的求解方法.方法對于手工或計算機準確繪製該交線、對圓管平交正錐檯三通下料等工程問題,都很有實用價值.
재공정제도중,원주원추정교상관시,기교선상적모사특수점총시근사구출.이정투영이론위기출,이원주원추정교상관적수학모형위의거,제출료일충준학、간편、가고적구해방법.방법대우수공혹계산궤준학회제해교선、대원관평교정추태삼통하료등공정문제,도흔유실용개치.
In mechanical drawing, when a cylinder goes through a cone with their two axles at right angle, positions of certain special points on the intersecting curve are usually obtained by approximation. This article, based on the theory of direct projection and by taking the mathematical modeling of a cylinder going through a cone as the reference, provides a method which can accurately solve the positions of those special points. This method makes more accurate drawing, manual or by computer, of intersecting lines possible, and it is especially useful for estimating the shape of component pieces of material for making such a model.