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" An angle formed by a tangent and a chord is measured by one-half its intercepted arc. "
Elements of Geometry - Page 82
by Andrew Wheeler Phillips, Irving Fisher - 1897 - 354 pages
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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 - Geometry - 1871 - 380 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 by onehalf the intercepted arc. Let the angle BAC be formed by the tangent AB and the chord AC; then, it is measured...
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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 by onehalf the intercepted arc. Let the angle BAC be formed by the tangent AB and the chord AC; then, it is measured...
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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...
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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...
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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...
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Annual Statement, Volumes 11-20

1876 - 646 pages
...perpendicular to each other, it is also symmetrical with respect to the intersection of these axes. 2. An angle formed by a tangent and a chord is measured by one-half the intercepted arc. 2. To bisect a giveu arc or angle. 4. (a) If a perpendicular be drawn from the...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 416 pages
...perpendicular to the diameter drawn through the point. MEASUREMENT OF ANGLES. PROPOSITION XVI. THEOREM. 209. An angle formed by a tangent and a chord is measured by one-half the intercepted arc. M-0 Let HAM be the angle formed by the tangent OM and chord AH. We are to prove...
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