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481352
Caption: Proof that the area of a triangle = 1/2 base x height.
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 27.02 MB
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506983
Caption: The hyperbolic functions cosh x and sinh x
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 27.60 MB
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480997
Caption: Visual demonstration of the Pythagorean theorem.
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 20.75 MB
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481439
Caption: A demonstration of the fundamental theorem of similarity, showing that small and large triangles are similar.
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 25.88 MB
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481146
Caption: Quadrature of the lune.
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 16.85 MB
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481478
Caption: Proof, attributed to the Pythagoreans, that the sum of the angles in a triangle is 180 degrees.
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 20.17 MB
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481443
Caption: The pseudosphere has constant negative curvature; it tapers to infinity in both directions away from the central disk.
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 15.36 MB
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481183
Caption: Demonstration that an intrinsically straight line (the red line) is not necessarily the shortest distance between two points.
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 39.19 MB
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481351
Caption: Quadrilateral of Omar Khayyam, constructed in an effort to prove Euclid's postulate concerning parallel lines superfluous.
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 18.10 MB
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481136
Caption: Projective version of Euclid's fundamental theorem of similarity.
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 29.31 MB
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481286
Caption: Thales of Miletus proof that for any chord AB in a circle, all of the angles subtended by points on the same semiarc are equal.
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 41.86 MB
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481506
Caption: Illustration of the three basic theorems that triangles are congruent: side-angle-side, angle-side-angle, and side-side-side.
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 33.87 MB
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481549
Caption: Proposed drawing of Thales' rectangle, a proof that any angle inscribed in a semicircle is a right angle (90 degrees).
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 37.62 MB
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481327
Caption: Cavalieri's principle: solids are of equal volume if they are of equal height and matching area at corresponding cross sections.
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 11.94 MB
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481077
Caption: Euclid offered a demonstration of the Pythagorean theorem in his Elements, named the Windmill proof due to the figure's shape.
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 13.19 MB
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481200
Caption: Liu Hui's 'Tangram' proof that the sum of the squares on the sides of a right triangle equals the square on the hypotenuse.
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 35.68 MB
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481001
Caption: Euclid's proposition that the base angles in an isosceles triangle are equal may have been named the Bridge of Asses.
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 16.84 MB
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481267
Caption: Three models of hyperbolic geometry: the Klein-Beltrami model, the Poincare disk model, and the Poincare upper half-plane model.
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 36.16 MB