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" An angle formed by two tangents is measured by half the difference of the intercepted arcs. "
Principles of Plane Geometry - Page 35
by James Wallace MacDonald - 1889 - 63 pages
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A Course of Mathematics: For the Use of Academies as Well as Private Tuition

Charles Hutton - Mathematics - 1812 - 620 pages
...measured by half the latter difference, is also measured by half the former. q. ED THBOUEM LX. The Angle formed by Two Tangents, is Measured by Half the Difference of the two Intercepted Arcs. LET EB, ED, be two tangents to a "circle at the points A, c ; then the angle...
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A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - Mathematics - 1822 - 616 pages
...measured by half the latter difference, is also measured by half the former. E. o. THEOREM LX. The Angle formed by Two Tangents, is measured by Half the Difference of the two Intercepted Arcs. Let EB, ED, be two tangents to a circle at the points A, c ; then the angle E...
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An EncyclopŠdia of Architecture: Historical, Theoretical, and Practical

Joseph Gwilt - Architects - 1842 - 1114 pages
...CFB. Where the angle A lias for its measure half the difference of the arcs GD, CFB. 926. PKOP. L. The angle formed by two tangents is measured by half the difference of th • two intercepted arcs. Let the angle CAB (▀g. 282.) be formed by the two tangents AC, AB ; this...
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Elements of Geometry: With Practical Applications ...

George Roberts Perkins - Geometry - 1847 - 326 pages
...angle BFD is measured by half the difference of the arcs BD and AC. H PROPOSITION XV. THEOREM. The angle formed by two tangents is measured by half the difference of the two intercepted arcs. Let FB, FD be two tangents to a circle at the points A, C ; then will the angle...
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Elements of Geometry: With, Practical Applications

George Roberts Perkins - Geometry - 1850 - 332 pages
...the angle BFD-is measured by half the difference of the arcs BD and AC. PROPOSITION XIV. THEOREM. The angle formed by two tangents is measured by half the difference of the two intercepted arcs. Let FB, FD be two tangents to a circumference at the points A, C ; then will...
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Elementary Geometry: With Applications in Mensuration

Charles Davies - Geometry - 1850 - 218 pages
...measured by half the difference of the intercepted arcs DFB and CA. THEOREM XVIII. An angle formed ly two tangents is measured by half the difference of the intercepted arcs. Let CD and DA be two tangents to the circle at the points C and A : then will the angle CD A be measured...
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Elements of Plane and Solid Geometry: And of Plane and Spherical ...

Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...is measured by half the latter difference, is also measured by half the former. QED THEOREM XX. The angle formed by two tangents is measured by half the difference of the two intercepted arcs. Let EB, ED, be two tangents to a circle at the points A, C ; then the angle E...
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Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - Geometry - 1870 - 398 pages
...equal angle E is also measured by half the difference of the intercepted arcs DFB and CA THEOREM XVIII. An angle formed by two tangents is measured by half the difference, of the intercepted arcs. Let CD and DA be two tangents to the circle at the points C and A : then will the angle CDA be measured...
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Chauvenet's Treatise on Elementary Geometry

William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...arcs. For the angle A is equal to EDC minus ABD, by I., Proposition XXVI., Corollary. 54. COROLLARY. An angle formed by two tangents is measured by half the difference of the intercepted arcs. A EXERCISE. 1. Prove Proposition XVIII. and its Corollary by the aid of Proposition XI. 2. Theorem.—If,...
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Chauvenet's Treatise on Elementary Geometry

William Chauvenet - Geometry - 1887 - 342 pages
...arcs. A For the angle A is equal to BDC minus ABD, by I., Proposition XXVI., Corollary. 54. COROLLARY. An angle formed by two tangents is measured by half the difference of the intercepted arcs. EXERCISE. 1. Prove Proposition XVIII. and its Corollary by the aid of Proposition XI. 2. Theorem. —...
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