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54375
Caption: Juggling Numbers
Artist: Franklin Hammond
Release: Not Applicable
File Size: 32.23 MB
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481230
Caption: A bipartite map contains 2 sets of points such that every vertex in one can be connected to every vertex in the other without intersecting paths.
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 35.78 MB
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506954
Caption: Polygonal arrays, demonstrating triangular numbers, square numbers, and pentagonal numbers
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 16.56 MB
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46862
Caption: Abacus With Hand Moving People
Artist: Steven Noble
Release: Not Applicable
File Size: 30.09 MB
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506846
Caption: By labeling the central angle A, the radii r, and the chord c in the figure, it can be shown that c = 2r sin (A/2)
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 41.86 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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481375
Caption: Although distances and ratios of distances are not, the cross ratio, defined as AC/BC BD/AD, is preserved under projection.
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 25.31 MB
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506866
Caption: An illustration showing positive general angle A and negative general angle A'
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 17.86 MB
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506949
Caption: Pappus of Alexandria (c 320) discovered that a hyperbola could be used to trisect an acute angle
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 17.32 MB
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507022
Caption: A Julia set is the boundary between points that diverge to infinity and those that remain finite under repeated iteration
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 13.07 MB
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481048
Caption: Medieval Arabic method of measuring the Earth.
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 15.28 MB
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481508
Caption: For any hexagon in any conic section the three pairs of opposite sides intersect in points on a straight line when extended.
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 11.94 MB
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41130
Caption: Small People Measuring Big Shapes
Artist: Warren Gebert
Release: Not Applicable
File Size: 30.00 MB
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507007
Caption: The figure shows an angle A in standard position, that is, with initial side on the x-axis
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 32.03 MB
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507066
Caption: In the Mandelbrot set, points remaining finite through all iterations are white Values diverging to infinity are shown darker
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 17.09 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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481178
Caption: The curvature at each point of a line is 1/r (r = radius of the osculating circle best approximating the line at that point).
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 16.75 MB
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481493
Caption: Eratosthenes' knowledge of the sun's position and distance between points enabled him to calculate the Earth's circumference.
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 15.28 MB
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506848
Caption: A Sierpinski gasket is made by dividing an equilateral triangle into four, removing the middle one, and repeating the pattern
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 36.54 MB
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481283
Caption: A Eulerian circuit is a path that traverses each edge exactly once such that the path begins and ends at the same vertex.
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 38.26 MB
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507101
Caption: Table of mathematical knots with zero to seven crossings The number of distinct knots increases with the number of crossings
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 16.34 MB
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48340
Caption: Accountant Funneling Numbers
Artist: Dennis Harms
Release: Not Applicable
File Size: 29.55 MB
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51289
Caption: Students Crossing Money Bridge
Artist: James Yang
Release: Not Applicable
File Size: 25.47 MB
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481459
Caption: Survivorship curves showing the idealized survivorship patterns of three categories of organisms.
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 57.43 MB
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506962
Caption: The solution to the problem of doubling the volume of a cube, as proposed by Menaechmus in the 4th century BC
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 39.20 MB
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506861
Caption: The right-hand rule, a visualization of the multiplication of vectors
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 32.73 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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506663
Caption: Uniformly accelerated motion; s = speed, a = acceleration, t = time, and v = velocity
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 18.46 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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481311
Caption: Part of the elliptic paraboloid z = x2 + y2 which can be generated by rotating the parabola z = x2 (or z = y2) about the z-axis.
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 38.70 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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506622
Caption: Standard lettering of a triangle: angles (A, B, C), sides (a, b, c), and one of the three heights (h, drawn from a vertices)
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 24.86 MB
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481282
Caption: Pierre de Fermat anticipated the calculus with his approach to finding the tangent line to a given curve.
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 16.58 MB
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506654
Caption: The Cartesian coordinates of point P are represented by (x, y), while the polar coordinates are represented by (r, angle)
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 25.25 MB
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481208
Caption: Pappus of Alexandria proved that the 3 points formed by the 6 lines connecting 2 sets of collinear points are also collinear.
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 28.17 MB
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54374
Caption: Numbers Fall Into Head
Artist: Franklin Hammond
Release: Not Applicable
File Size: 30.77 MB
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506921
Caption: One method of adding and subtracting vectors is to place their tails together and supply two more sides to form a parallelogram
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 24.74 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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481078
Caption: K5 is not a planar graph, as there is no way to connect every vertex with edges in the plane such that no edges intersect.
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 37.75 MB
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507024
Caption: Loops a and b cannot shrink to a point without breaking the loop or the torus, meaning that the torus is not simply connected
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 29.31 MB
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506567
Caption: Rotating the coordinate axes through an angle changes the coordinates of a point from (x, y) to (x', y')
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 36.00 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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481450
Caption: The conic sections can be generated by projecting the circle formed by the intersection of a cone with the reality plane perpendicular to the cone's central axis.
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 38.40 MB
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507004
Caption: Nicomedes (3rd century BCE) discovered a special curve, known as a conchoid, with which he was able to trisect any acute angle
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 31.01 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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506747
Caption: The evolution of Hindu-Arabic numerals from the 1st century to the 16th century
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 21.41 MB
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41042
Caption: Man Holding Up Percent Sign
Artist: Henri Matchavariani
Release: Not Applicable
File Size: 39.29 MB
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481413
Caption: An example of a hyperbolic paraboloid. The figure shows part of the hyperbolic paraboloid x2/a2 - y2/b2 = 2cz.
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 41.29 MB
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433505
Caption: People with patterned skin
Artist: Farida Zaman
Release: Not Applicable
File Size: 50.19 MB
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481087
Caption: An annular strip (region between two concentric circles) cut and bent into a helical strake following the contour of a cylinder.
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 31.59 MB
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506801
Caption: The relationship between a central angle formed by two radii and the angle's AB chord (one side of an inscribed triangle)
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 41.86 MB
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507109
Caption: The figure indicates how to add a positive or negative angle (B) to a positive angle (A)
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 14.54 MB
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481435
Caption: Basic types of graphs: simple graph, multigraph, complete graph, graph with loop, and digraph.
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 30.44 MB
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506975
Caption: From top left: Height determination using tangent; tangent to curve at P1 = line aP1; tangent function f(x) for varied x values
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 29.51 MB