 | Adrien Marie Legendre - Geometry - 1863 - 464 pages
...was to be proved. 81 PEOPOSITION XXI. THEOREM. An angle formed by a tangent and a chord meeting it at the point of contact, is measured by half the included arc. Let BE be tangent to the circle AMC, and let AC be a chord drawn from the point of contact A : theu... | |
 | Bernhard Marks - Geometry - 1869 - 172 pages
...BD: FIRST LESSONS IN GEOMETRY. PROPOSITION XXII. THEOREM. DEMONSTRATION. We wish to prove that TJie angle formed by a tangent and a chord meeting at the point of contact is measured by half the intercepted arc, Let the tangent CAB and the chord AD meet at the point of contact A ; then will the... | |
 | Bernard Marks - Geometry - 1871 - 172 pages
...themselves must be equal. 152 PROPOSITION XXII. THEOREM. DEMONSTRATION. "We wish to prove that The angle formed by a tangent and a chord meeting at the point of contact is measured by half the intercepted arc. Let the tangent CAB and the chord AD meet at the point of contact A ; then wiH the... | |
 | Charles Davies - Geometry - 1872 - 464 pages
...which wait to be proved. PROPOSITION XXI. THEOREM. An angle formed by a tangent and a chord meeting it at the point of contact, is measured by half the included arc. Let ' JBE be tangent to the circle AMC, and let AC be a chord drawn from the point of contact A : then... | |
 | Adrien Marie Legendre - Geometry - 1874 - 500 pages
...which was to be proved. PROPOSITION XXI. THEOREM. An angle formed by a tangent and a chord meeting it at the point of contact, is measured by half ' the included arc. Let BE be tangent to the circle AJifC, and let AC be a chord drawn from the point of contact A : then... | |
 | B. Marks - 1875 - 176 pages
...is measured by half the arc BD: PROPOSITION XXII. THEOREM. DEMONSTRATION. We wish to prove that The angle formed by a tangent and a chord meeting at the point of contact is measured by half the intercepted arc. Let the tangent CAB and the chord AD meet at the point of contact A ; then will the... | |
 | William Henry Harrison Phillips - Geometry - 1878 - 236 pages
...the angle E AD ; and its corresponding arc, BD, will at the same time increase to ABD : that'is, the angle formed by a tangent and a chord meeting at the point of contact has the same numerical measure as half the intercepted arc. COR. 6. If the chord, AD, is a diameter,... | |
 | Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...which was to be proved. PROPOSITION XXI. THEOREM. An angle formed by a tangeiit and a chord meeting it at the point of contact, is measured by half the included arc. Let BE be tangent to the circle AMC, and let AC be a chord drawn from the point of contact A : then... | |
 | John Macnie - Geometry - 1895 - 386 pages
...angle is double the arc intercepted by an equal angle at the center. PROPOSITION IV. THEOREM. 269. The angle formed by a tangent and a chord meeting at the point of contact, is measured by half the intercepted arc. Given : An angle BAC formed by a tangent AB and a chord AC ; To Prove : Angle BAC... | |
 | International Correspondence Schools - Surveying - 1898 - 518 pages
...follows: 124 : 184 :: 113.098 : area required, or 144 : 324 :: 113.098 : 254.47 sq. in. 1191. An ar^Ie formed by a tangent and a chord meeting at the point...CD is measured by half the arc CE D. Similarly, the CB angle BCD is measured by half the FIG. 241. arc C D. 1192. Two tangents to a circle drawn from any... | |
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The angle formed by a tangent and a chord meeting at the point of contact is measured by half the intercepted arc. 