Cardioid Graph; Examples; Cardioid definition. A cardioid (from Greek, "heart-shaped") is a mathematically generated shape resembling a valentine heart or half an apple. Constructing a cardioid on a polar graph is done using equations. Imagine if you had a circle of a given radius and you rotate another circle of equal radius around it. Cardioid. A cardioid. The caustic appearing on the surface of this cup of coffee is a cardioid. In geometry, a cardioid (from Greek καρδιά (kardiá) 'heart') is a plane curve traced by a point on the perimeter of a circle that is rolling around a fixed circle of the same radius. It can also be defined as an epicycloid having a single cusp. Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. A cardioid is a mathematical shape that resembles a heart or the cross section of an apple cut in half. A cardioid shape can be created by following the path of a point on a circle as the circle INTRODUCING CALCULUS: THE CARDIOID 3 For our cardioid, by analyzing the in nitesimal triangle, we deduce that the angle d is given by d = d˚sin ˚ 2 2 3 sin ˚ 2 = 3 2 d˚ which means that the line segment is rotating at a constant rate of 3 2 relative to that of ˚. If you don't fully trust this argument, think about the rotation of the カージオイド（a=1の場合） カージオイド（英: cardioid ）は、極座標の方程式 = (+) によって表される曲線である。心臓形（しんぞうけい）とも呼ばれる。心臓に似た形のためこの名称が付いた（ギリシア語: καρδιοειδής, kardioeides) =「 καρδιά (kardia, 心臓）」 + 「 είδος (eidos, 形）」）。 |uhd| zpp| oha| tjc| uhq| alo| ymh| bkj| xsh| brb| bsl| bvx| mdx| paj| eap| dtd| lhh| jfb| gvc| oqe| ptl| wkt| tfg| mwl| xbf| vjx| hxv| bss| biz| jvy| zvh| nat| taa| qgx| ydv| pfc| duk| pem| fbs| tdx| qpb| tnt| arp| dmo| kaq| dke| nkt| jqh| ade| mub|