PPT-Section 2.4 Point, Line, and Plane Postulates

NoteTaking Guide I suggest only writing down things in red Review of Postulates from Chapter 1 Postulate 1 Rule Postulate Basically you can measure lengthdistance with a ruler Postulate 2 Segment Addition Postulate. POINTS!. LINES!. PLANES!. OH MY!. What are the undefined terms in geometry? . What concepts present the foundations of geometry?. Can you sketch the intersection of lines and planes?. These questions (and much more!!) will be answered by the end of this presentation.. The Fundamental Rules of Our Game. Any measurement we can make with an experiment corresponds to a mathematical “. operator. ”. Operator. : A mathematical machine that “. acts on. ” a function and produces a new function:. Theorems. : Important statements that are proved. Postulates. : basic assumptions in Geometry that are accepted w/o proof. Postulate 5. : A line contains at least two points; a plane contains at least three points not all in one line; space contains four points not all in one plane. CH 3-Perpendicular & Parallel Lines. Geometry I. Takes you to the main menu. Takes you to the help page. There are other buttons explained throughout the PowerPoint. Navigating the PowerPoint. Main Menu. If . it is noon in Georgia. ,. then . it is . 9. . A.M.. in California. .. hypothesis. conclusion. In this lesson you will study a type of logical statement called a . conditional statement. . A conditional statement has two parts, a . Objective:. > Understand and use the basic undefined. . terms. . and defined terms of geometry.. A . definition. uses known words to describe a new word. In geometry, some words such as point, line and plane are . CS5670: Computer Vision. Noah Snavely. Announcements. Midterm to be handed out at the end of class. Due on Tuesday (March 21) by 1pm (beginning of class).. No late exams accepted. Project 3 to be released after midterm (possibly next week). . Undefined Terms. Point: exact location; has no size; . . represented by a dot.. Line: set of points extending in both directions containing . . the shortest path between 2 points. ; one dimensional. Note-Taking Guide. I suggest only writing down things in . red. Review of Postulates from Chapter 1. Postulate 1 = Rule Postulate. Basically you can measure length/distance with a . ruler. Postulate 2 = Segment Addition Postulate. review. Postulates: Rules that are accepted without proof.. Theorems: Rules that have already been proven.. Postulates. .. examples. State the postulate illustrated by the diagram.. . examples. Draw examples of the following postulates.. Samuli . Laine. Tero Karras. NVIDIA. The Problem. How to quickly find a good bounding plane with a given orientation?. Use Case 1: Ray Tracing and Rigid Motion. Say we have a world-space BVH with leaves containing object ID transformation matrix. Identify and use basic postulates about points, lines, and planes.. A . postulate. or an . axiom. is a statement that is accepted as true without proof. . Lesson 02 - Point, Line, & Plane Postulates. Samuli . Laine. Tero Karras. NVIDIA. The Problem. How to quickly find a good bounding plane with a given orientation?. Use Case 1: Ray Tracing and Rigid Motion. Say we have a world-space BVH with leaves containing object ID transformation matrix. Lesson Menu. Five-Minute. Check. CCSS. Then/Now. New Vocabulary. Key Concept: Undefined Terms. Example 1: Name Lines and Planes. Example 2: Real-World Example: Model Points, Lines, and Planes. Example 3: Draw Geometric Figures.