{"id":8762,"date":"2020-12-04T07:54:28","date_gmt":"2020-12-04T02:24:28","guid":{"rendered":"https:\/\/cbselibrary.com\/?p=8762"},"modified":"2020-12-04T12:21:11","modified_gmt":"2020-12-04T06:51:11","slug":"locus","status":"publish","type":"post","link":"https:\/\/cbselibrary.com\/locus\/","title":{"rendered":"What is a Locus"},"content":{"rendered":"
A locus<\/strong> is a set of points which satisfies a certain condition.<\/p>\n As seen by the headlights (and taillights) in the picture below, a locus of points (the headlights or taillights) is the path traced out by the moving points under given conditions (following the road). There are five<\/strong> basic locus theorems (rules). Locus Theorem 1:<\/strong> When attempting to solve a locus problem, there are certain steps that should be followed:<\/p>\n Steps to solving a locus problem:<\/strong><\/p>\n What is a Locus Locus A locus is a set of points which satisfies a certain condition. As seen by the headlights (and taillights) in the picture below, a locus of points (the headlights or taillights) is the path traced out by the moving points under given conditions (following the road). Think of a locus … Read more<\/a><\/p>\n","protected":false},"author":8,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[5],"tags":[3045,3203],"yoast_head":"\n
\nThink of a locus as a “bunch” of points that all do the same thing.
\nIn Latin, the word locus means place.
\nThe plural of locus is loci.<\/p>\n
\nEach theorem will be explained in detail in the following sections under this topic. Even though the theorems sound confusing, the concepts are easy to understand.<\/p>\n
\nThe locus of points at a fixed distance, d, from point P is a circle with the given point P as its center and d as its radius.
\nLocus Theorem 2:<\/strong>
\nThe locus of points at a fixed distance, d, from a line ?, is a pair of parallel lines d distance from ? and on either side of ?.
\nLocus Theorem 3:<\/strong>
\nThe locus of points equidistant from two points, P and Q, is the perpendicular bisector of the line segment determined by the two points.
\nLocus Theorem 4:<\/strong>
\nThe locus of points equidistant from two parallel lines, ?1<\/sub> and ?2<\/sub> , is a line parallel to both ?1<\/sub> and ?2<\/sub> and midway between them.
\nLocus Theorem 5:<\/strong>
\nThe locus of points equidistant from two intersecting lines, ?1<\/sub> and ?2<\/sub>, is a pair of bisectors that bisect the angles formed by ?1<\/sub> and ?2<\/sub> .
\n<\/p>\n\n