cylinder Volume of a sphere V =l × w × h V = πr 2 h A= 2πrh V= 4 3 πr 3 Volume of a cone V= d= 1 2 πr h 3 ( x1 − x2 ) 2 + ( y1 − y2 ) 2 + ( z1 − z2 ) 2 Distance between two points ( x1 ‚ y1 ‚ z1 ) and ( x2 ‚ y2 ‚ z2 ) Coordinates of the midpoint of a line segment with endpoints ( x1 ‚ y1 ‚ z1 ) and ( x2 ‚ y2 ‚ z2 ) x1 + x2 y1 + y2 z1 + z2 ‚ ‚ 2 2 2 Mathematics SL formula booklet 2 Topics Topic 1—Algebra 1.1 The nth term of an arithmetic sequence
Premium Volume Geometry Rectangle
time. He had his own techniques of studying and discovering different things. and Gottfried Wilhelm von Leibniz. He made discoveries in the basis of different parts of math. He made contributions in areas of math such as calculus‚ trigonometry‚ geometry‚ algebra‚ and physics. He came up with theories and formulas for these
Premium Mathematics Geometry
chapter were Theorem and Tree Diagrams/Geometry Probabilities. In chapter 10‚ the main topic was Data Analysis‚ and the topics that were discussed in this chapter were. Different ways to Displaying data such as line graphs‚ scatter plots‚ bar graphs‚ line graphs‚ or circle graphs. Then there was information on the Measures of Central Tendency and Variation. The abuse of Statistics is also mentioned in chapter ten. Chapter 11 covered introductory Geometry as the main topic. The minor topics were
Premium Euclidean geometry Geometry Education
manual drawings were made on drawing board which was so much hectic and time wasting. Now CAD systems are available for a number of computer platforms: laptops‚ personal computers (PCs)‚ workstations. Easy to Modify: Modifying the CAD geometry is easy; you will always have "copy"‚ "cut"‚ "paste"‚ "delete"‚ "move" or some similar editing options available with each of the packages. Easy to Reproduce: Draftsmen used to take days to complete a drawing by manual drafting‚ and reproducing
Premium Technical drawing Computer-aided design
Objective To prove Distance formula = by experimentally Pre-knowledge We know Pythagoras Theorem Area of triangle Some Knowledge about coordinate Rules for signs of Co-ordinates Axes of Co-ordinates Geometrical Representation of quadratic polynomials Material Required Coloured Glazed paper Pair of scissors Geometry box Graph paper Drawing sheet Colour stick Pencil colour Fevistick/ Gum Procedure Let two points P(x1‚y1) and Q(x2‚y2) on graph sheet. And draw a set of perpendicular
Premium Geometry Pythagorean theorem Analytic geometry
Conjecture-unproven statement that is based on observations Counterexample-an example showing a conjecture is false collinear points-points that lie on the same line coplanar points-points that lie on the same plane point-has no dimension line-extends in 1 direction plane-extends in 2 dimensions postulate/axioms-rules accepted w/o proof . POSTULATE 2 – SEGMENT ADDITION POSTULATE. IF B IS BETWEEN A AND C THEN AB+BC=AC. IF AB+BC=AC THEN B IS BETWEEN A AND C DISTANCE FORMULA (X2-X1)2+(Y2-Y1)2
Premium Angle
Japan Temple Geometry Abstract In this science project the problems‚ which were written at Japanese temple boards are considered. These problems are differing from the European geometry by their solutions. Translated chapters from the book of Fukagawa and Pedoe were devoted to ellipses and n-gons‚ different combinations of the ellipses‚ circumferences and quadrilaterals‚ spheres‚ spheres and ellipsoids‚ different combination
Premium Triangle Pythagorean theorem Geometry
+ -5 = -5 x = -5 Simplifying x = -5 Solution x = {-6‚ -5} (12 points) 3.) For the function f(x) = x3 – 16x‚ do the following: a. Complete the table of values below. b. Sketch the function on the coordinate plane. c. Describe the function’s end behavior. d. Factor the function completely. a. x –2 –1 0 1 2 f(x) 24 15 0 -15 -24 b. The function is cubic(squared) c. End behavior: the graph falls to the left and rises to
Free Equals sign Elementary arithmetic Binary relation
SUMMARY UG NX7.5 Motion Simulation Training Package Unigraphics Solutions Company (UGS) is the world famous MCAD suppliers‚ mainly for the automotive and transportation‚ aerospace‚ general machinery and electronics industries. Through its Virtual Product Development (VPD) philosophy‚ UGS supply software product and services to company of multipolarity‚ collective‚ enterprise. Its main products are UG CAD. This UG motion simulation training package mainly introduces some basic knowledge
Premium Kinematics Classical mechanics Joint
Techniques 1 - Algebra 2 - Trigonometry 3 – Analytic geometry 4 - Computer simulation 5 – Calculus Algebra: Use symbols to stand for numbers. Example 101 lecture 1 2 2 – Trigonometry We start with right triangles. Trigonometry Example But there’s more to it than that. 101 lecture 1 3 3 – Analytic geometry The ellipse Use algebra (and calculus) to analyze geometry problems. Key technique: coordinates Rene DesCartes 101 lecture 1 4 4 - Computer
Premium Geometry Mathematics Analytic geometry