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Symmetry and Tessellations
Symmetry and Tessellations

math 260 perspectives in geometry
math 260 perspectives in geometry

SMART Notebook
SMART Notebook

... Classwork - Identifying Congruent triangles from given information With someone sitting next to you 1) Mark the items you can determine to be congruent in the picture by looking at it. 2) Mark the items you can determine to be congruent in the picture by using the given information 3) State whether ...
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The SMSG Axioms for Euclidean Geometry

... How many numbers are a distance 5 from 1? What are the place names? (−6 and 4) Does have two points at a distance 5 from 1 violate A2? The Ruler Postulate also guarantees us an infinite number of points by stating that there are as many points as there are real numbers. Note that in the earlier ax ...
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A Generalization of Pascal╎s Triangle - Via Sapientiae

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06.03.03: Pascal`s Triangle and the Binomial Theorem

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MATHEMATICS

... 3. The following proofs of theorems are examinable: • The line drawn from the centre of a circle perpendicular to a chord bisects the chord; • The angle subtended by an arc at the centre of a circle is double the size of the angle subtended by the same arc at the circle (on the same side of the chor ...
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1.4/1.5 notes

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Chapter 5 - WordPress.com

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GCSE in Mathematics B

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Chapter 1: Shapes and Transformations

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History of trigonometry

Early study of triangles can be traced to the 2nd millennium BC, in Egyptian mathematics (Rhind Mathematical Papyrus) and Babylonian mathematics.Systematic study of trigonometric functions began in Hellenistic mathematics, reaching India as part of Hellenistic astronomy. In Indian astronomy, the study of trigonometric functions flowered in the Gupta period, especially due to Aryabhata (6th century CE). During the Middle Ages, the study of trigonometry continued in Islamic mathematics, hence it was adopted as a separate subject in the Latin West beginning in the Renaissance with Regiomontanus.The development of modern trigonometry shifted during the western Age of Enlightenment, beginning with 17th-century mathematics (Isaac Newton and James Stirling) and reaching its modern form with Leonhard Euler (1748).
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