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Theorems and Proofs |
Record 1 to 25 of 126 |
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2 Transversals, 4 Parallel Lines Cut By Illustration used to prove the theorem "If three or more parallel lines intercept equal segments on one transversal, they intercept equal segments on any other transversal."... |
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Angle, Face Angles of Convex Polyhedral Diagram used to prove the theorem: "The sum of the face angles of any convex polyhedral angle is less than four right angles."... |
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Angle, Perpendiculars To The Sides Of An Illustration used to show "The two perpendiculars to the sides of an angle from any point in its bisector are equal."... |
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Angle, Perpendiculars To The Sides Of An Illustration used to show "The two perpendiculars to the sides of an angle from any point not in its bisector are unequal."... |
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Angles, Equal Right Illustration used to prove that all right angles are equal.... |
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Angles, Symmetrical or Equal Trihedral Diagram used to prove the theorem: "Two trihedral angles, which have three face angles of the one equal respectively to three face angles of the other , are either equal or symmetrical."... |
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Binomial (a + b), Squaring An illustration showing how to square binomial (a + b). (a + b)² = a² + 2ab + b².... |
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Binomial (a - b), Squaring An illustration showing how to square binomial (a - b). (a - b)² = a² - 2ab + b².... |
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Circle Diameters If every diameter is perpendicular to its conjugate, the conic is a circle.... |
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Circle Proof, Angles Inscribed in Same Segment Illustration of a circle used to prove "All angles inscribed in the same segment are equal."... |
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Circle Proof, Inscribed Angle in a Illustration of a circle with an inscribed angle that can be used to prove that "An inscribed angle is measured by one half of its intercepted arc." In this case, one side of angle ABC passes through... |
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Circle Proof, Inscribed Angle in a Illustration of a circle with an inscribed angle that can be used to prove that "An inscribed angle is measured by one half of its intercepted arc." In this case, center O lies within angle ABC.... |
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Circle Proof, Inscribed Angle in a Illustration of a circle with an inscribed angle that can be used to prove that "An inscribed angle is measured by one half of its intercepted arc." In this case, center O lies outside angle ABC.... |
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Circle Proof, Obtuse Angles Inscribed in Illustration of a circle used to prove "Any angle inscribed in a segment less than a semicircle is an obtuse angle."... |
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Circle Theorem, Equal Tangents to Illustration used to show that "If two tangents are drawn from any given point to a circle, those tangents are equal."... |
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Circle Theorem, Tangent to Perpendicular Radius Illustration used to show that "A tangent to a circle is perpendicular to the radius drawn to the point of tangency."... |
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Circle, Diameter Perpendicular to a Chord in a Illustration used to show that "The diameter perpendicular to a chord bisects the chord and also its subtended arc."... |
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Circles Theorem, Equal Chords in Equal Illustration used to show that "In equal circles, or in the same circle, if two chords are equal, they subtend equal arcs; conversely, if two arcs are equal, the chords that subtend them are equal."... |
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Circles Theorem, Equal Chords in Equal Illustration used to show that "In equal circles, or in the same circle, if two chords are equal, they are equally distant from the center; conversely, if two chords are equally distant from the cente... |
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Circles Theorem, Unequal Chords in Illustration used to show that "In equal circles, or in the same circle, if two chords are unequal, the greater chord subtends the greater minor arc; conversely, if two minor arcs are unequal, the cho... |
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Circles Theorem, Unequal Chords in Equal Illustration used to show that "In equal circles, or in the same circle, if two chords are unequal, the greater chord is at the less distance from the center."... |
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Circles Theorem, Unequal Chords in Equal Illustration used to show that "In equal circles, or in the same circle, if two chords are unequal, the greater chord is at the less distance from the center."... |
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Circles, Circumferences of 2 Illustration used to prove "If two circumferences meet at a point which is not on their line of centers, they also meet in one other point."... |
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Circular Involution Every elliptical involution has the property that there are two definite points in the plane from which any two conjugate points are seen under a right angle.... |
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Corollary, Intersecting Lines Illustration used to prove the corollary that "Two lines perpendicular respectively to two intersecting lines also intersect."... |
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Clipart ETC is a part of the Educational Technology Clearinghouse and is funded by various grants. Produced by the Florida Center for Instructional Technology, College of Education, University of South Florida. Email the project manager.