Mathematical tables | Trigonometry | Elementary special functions
The table of chords, created by the Greek astronomer, geometer, and geographer Ptolemy in Egypt during the 2nd century AD, is a trigonometric table in Book I, chapter 11 of Ptolemy's Almagest, a treatise on mathematical astronomy. It is essentially equivalent to a table of values of the sine function. It was the earliest trigonometric table extensive enough for many practical purposes, including those of astronomy (an earlier table of chords by Hipparchus gave chords only for arcs that were multiples of 7+1/2° = π/24 radians). Centuries passed before more extensive trigonometric tables were created. One such table is the Canon Sinuum created at the end of the 16th century. (Wikipedia).
What's a Chord? Geometry Terms and Definitions
Learn the definition of the geometric term "chord" - an important concept when working with circles. You will also learn to distinguish "chords" from "diameters." Geometer: Louise McCartney Artwork: Kelly Vivanco Director: Michael Harrison Written & Produced by Kimberly Hatch Harrison a
From playlist Socratica: The Geometry Glossary Series
Episode 6: Sines And Cosines Part III - Project MATHEMATICS!
Episode 6. Sines and Cosines, Part III: (Addition formulas) Animation relates the sine and cosine of an angle with chord lengths of a circle, as explained in Ptolemy’s Almagest. This leads to elegant derivations of addition formulas, with applications to simple harmonic motion. A Program
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An A chord is made from combining the notes A, C# and E
From playlist Music Lessons
YOU CAN'T USE EULER'S IDENTITY TO PROVE THE ANGLE SUM IDENTITIES! | Tricky Parts of Calculus, Ep. 4
I give multiple proofs of the angle sum identities sin(x+y) = sin(x)cos(y) + sin(y)cos(x) and cos(x+y) = cos(x)cos(y) - sin(x)sin(y) from different perspectives. I stress that a very common presentation of these formulas based on Euler's identity e^(ix) = cos(x) + i sin(x) is circular and
From playlist Math
The Maths of General Relativity (4/8) - Metric tensor
In this series, we build together the theory of general relativity. This fourth video focuses on the notion of metric tensor, its relations to the Christoffel symbols, and physical distances. For more videos, subscribe to the YouTube channel : https://www.youtube.com/ScienceClicEN And if
From playlist The Maths of General Relativity
Introduction to Polygons - Geometry
Learn the definition of polygon - a very important shape in geometry. When a polygon has a small number of sides, there is a word you use instead of "polygon". We teach you the names of polygons with 3 to 10 sides. Geometer: Louise McCartney Artwork: Kelly Vivanco Written by Michael Ha
From playlist Geometry lessons
Spherical and elliptic geometries (cont.) | Universal Hyperbolic Geometry 34 | NJ Wildberger
We continue our introduction to spherical and elliptic geometries, starting with a discussion of longitude and latitude on a sphere. We mention the close historical connections between spherical geometry and astronomy, going back to the ancient Greeks, to the Indians and to the Arabs. We
From playlist Universal Hyperbolic Geometry
Chords Arcs and Diameters in Circle
I introduce the concept of Chords in a circle and then give you 7 theorems that explain the relationships of chords, arcs, diameters, and central angles is circles. Find free review test, useful notes and more at http://www.mathplane.com If you'd like to make a donation to support my effor
From playlist Geometry
Episode 4: Sines And Cosines Part I - Project MATHEMATICS!
Episode 4. Sines and Cosines, Part I: (Waves) Sines and cosines occur as rectangular coordinates of a point moving on a unit circle, as graphs related to vibrating motion, and as ratios of sides of right triangles. They are related by reflection or translation of their graphs. Animation de
From playlist Courses and Series
To learn more about Wolfram Technology Conference, please visit: https://www.wolfram.com/events/technology-conference/ Speaker: Philip Maymin Wolfram developers and colleagues discussed the latest in innovative technologies for cloud computing, interactive deployment, mobile devices, and
From playlist Wolfram Technology Conference 2018
Circle Chords / Angle Problem (High School Geometry)
TabletClass Math: https://tcmathacademy.com/ Geometry help with solving an angle inside a circle formed by two chords. For more math help to include math lessons, practice problems and math tutorials check out my full math help program at https://tcmathacademy.com/ Math Notes: P
From playlist Geometry
Right Angle In A Quarter Circle
Thanks to Moaaz for the suggestion! Can you solve this challenging geometry problem? 0:00 Problem 0:55 Solution 1 3:09 Solution 2 Subscribe: https://www.youtube.com/user/MindYourDecisions?sub_confirmation=1 Send me suggestions by email (address at end of many videos). I may not reply bu
From playlist Math Puzzles, Riddles And Brain Teasers
I work through four examples of classifying type of polygons in the coordinate plane using the distance, slope, and midpoint formulas. EXAMPLES AT 2:22 10:24 15:29 23:13 Find free review test, useful notes and more at http://www.mathplane.com If you'd like to make a donation to support my
From playlist Geometry
Episode 9: Early History - Project MATHEMATICS!
Episode 9. Early History of Mathematics: This video traces some of the landmark developments in the early history of mathematics, from Babylonian calendars on clay tablets produced 5000 years ago, to the introduction of calculus in the seventeenth century. A Program Guide and Workbook is
From playlist Courses and Series
Watch more videos on http://www.brightstorm.com/math/geometry SUBSCRIBE FOR All OUR VIDEOS! https://www.youtube.com/subscription_center?add_user=brightstorm2 VISIT BRIGHTSTORM.com FOR TONS OF VIDEO TUTORIALS AND OTHER FEATURES! http://www.brightstorm.com/ LET'S CONNECT! Facebook ► https
From playlist Geometry
Live CEOing Ep 647: Language Design Review of Astronomy Continued
In this episode of Live CEOing, Stephen Wolfram discusses upcoming improvements and features to the Wolfram Language. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or through the official Twitch channel of Stephen Wolfram
From playlist Behind the Scenes in Real-Life Software Design
Lecture 8. Bass Patterns: Blues and Rock
Listening to Music (MUSI 112) In this lecture, Professor Wright teaches students how to listen for bass patterns in order to understand harmonic progressions. He talks through numerous musical examples from both popular music and classical music, showing the way that composers from both r
From playlist Listening to Music with Craig Wright
Lucio Russo, Hellenistic Geographical Knowledge Hidden In Ptolemy's Data - 14 February 2018
https://www.sns.it/eventi/hellenistic-geographical-knowledge-hidden-ptolemys-data Colloqui della Classe di Scienze Lucio Russo, Università di Roma “Tor Vergata” Hellenistic Geographical Knowledge Hidden In Ptolemy's Data Abstract The systematic error on longitudes in Ptolemy’s Geographia
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Episode 9: Moving In Circles - The Mechanical Universe
Episode 9. Moving in Circles: A look at the Platonic theory of uniform circular motion. “The Mechanical Universe,” is a critically-acclaimed series of 52 thirty-minute videos covering the basic topics of an introductory university physics course. Each program in the series opens and clos
From playlist The Mechanical Universe
All F chords are made from different permutations and combinations of the F,C and A notes
From playlist Music Lessons