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" An angle formed by a tangent and a chord is measured by one-half the intercepted arc. "
Chauvenet's Treatise on Elementary Geometry - Page 81
by William Chauvenet, William Elwood Byerly - 1887 - 322 pages
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Public Documents of Massachusetts, Volume 9

Massachusetts - 1899 - 1234 pages
...that in any triangle the greater angle lies opposite the greater side. 4. Prove that the angle between a tangent and a chord is measured by one-half the intercepted arc. 5. Construct a tangent to a circle from a given point without the circle. Explain construction fully....
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Iconographic Encyclopaedia of Science, Literature, and Art, Volume 1

Johann Georg Heck - Encyclopedias and dictionaries - 1851 - 712 pages
...is half the angle at the centre of the same arc, and is therefore measured by the half of its arc. An angle formed by a tangent and a chord is measured by half the arc included between the tangent and the chord (fig. 73). Inscribed angles resting upon the...
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Young Scientist: A Practical Journal for Amateurs, Volume 1

1851 - 716 pages
...is half the angle at the centre of the same arc, and is therefore measured by the half of its arc. An angle formed by a tangent and a chord is measured by half the arc included between the tangent and the chord (fig. 73). Inscribed angles resting upon the...
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Iconographic Encyclopaedia of Science, Literature & Art, Volume 1

Johann Georg Heck - Encyclopedias and dictionaries - 1860 - 332 pages
...is half the angle at the centre of the same arc, and is therefore measured by the half of its arc. An angle formed by a tangent and a chord is measured by half the arc included between the tangent and the chord (fig. 73), Inscribed angles resting upon the...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Mathematics - 1872 - 382 pages
...circumference, which is the measure of two right angles, (54) and (I. 19). PROPOSITION XXII.— THEOREM. 62. An angle formed by a tangent and a chord is measured...the diameter AD. The angle BAD being a right angle (27), is measured by one-half the semi-circumference AMD ; and the angle CAD is measured by one-half...
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Annual Report of the Superintendent of Public Instruction of the ..., Issue 25

Wisconsin. Department of Public Instruction - Education - 1873 - 458 pages
...Parallelograms on equal bases, and between the same parallels, are equal in area. 10. Theorem. — The angle formed by a tangent and a chord is measured by one-half the intercepted arc. NATURAL PHILOSOPHY. 1. Define specific gravity; how is it ascertained? 2. Explain the principle of...
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Annual Report of the Superintendent Of...

Education - 1873 - 444 pages
...Parallelograms on equal bases, and between the same parallels, are equal in area. 10. Theorem.—The angle formed by a tangent and a chord is measured by one-half the intercepted arc. NATURAL PHILOSOPHY. 1. Define specific gravity; how is it ascertained? 2. Explain the principle of...
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Surveying and Navigation, with a Preliminary Treatise on Trigonometry and ...

Aaron Schuyler - Measurement - 1864 - 512 pages
...or in the corresponding angle at the center, be equal to d, the degree of curvature. The angle ABp, formed by a tangent and a chord, is measured by one.half the arc Bp, and is therefore equal to id. Each of the inscribed angles, pBq, qBr, is measured by one.half...
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Appendix to the Assembly Journal, Volume 1

Wisconsin - Wisconsin - 1874 - 1050 pages
...Parallelograms on equal bases, and between the same parallels, are equal in area. 10. Theorem.— The angle formed by a tangent and a chord is measured by one-half the intercepted arc. NATURAL PHILOSOPHY. 1. Define specific gravity; how is it ascertained? 2. Explain the principle of...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1875 - 466 pages
...circumference, which is the measure of two right angles, (54) and (I. 19). PROPOSITION XXII.—THEOREM. 62. An angle formed by a tangent and a chord is measured...then, it is measured by one-half the intercepted arc Ana For, draw the diameter AD. The angle BAD being a right angle (27), is measured by one-half the...
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