 | Bernard Marks - 1871 - 172 σελίδες
...equal, the half arcs which measure them must be equal, and the whole arcs themselves must be equal. 152 PROPOSITION XXII. THEOREM. DEMONSTRATION. "We wish...the chord AD meet at the point of contact A ; then wiH the angle BAD be measured by half the intercepted arc A D. For draw the diameter AE F. Because... | |
 | B. Marks - 1875 - 176 σελίδες
...interior alternate angles AB c, B c D, are equal. But the angle AB c is measured by half the arc A c; And the angle B c D is measured by half the arc BD:...and AE a radius at the point of contact, the angle BA p is a right angle, and is measured by half the semicircle AD F. Because the angle FAD is at the... | |
 | William Henry Harrison Phillips - 1878 - 236 σελίδες
...become 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,... | |
 | John Macnie - 1895 - 390 σελίδες
...angle is double the arc intercepted by an equal angle at the center. PBOPOSITION IV. THEOREM. 269. The angle formed by a tangent and a chord meeting...contact, is measured by half the intercepted arc. ' Giuen : An angle BA C formed by a tangent AB and a chord AC ; To Prove: Angle BAC is measured by... | |
 | International Correspondence Schools - 1898 - 518 σελίδες
...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 of Contact is measured by half the included arc. Thus, in Fig. 241, the angle ACD formed by the meeting of the tangent AB and the chord... | |
 | International Correspondence Schools - 1899 - 814 σελίδες
...as follows: 12' : 18' :: 113.098 : area required, or 144 : 324 :: 113.098 : 254.47 sq. in. 1191. An angle formed by a tangent and a chord meeting at the point of contact is measured by half the included arc. Thus, in Fig. 241, the angle ACD formed by the meeting of the tangent AB and the chord... | |
 | International Correspondence Schools - 1899 - 798 σελίδες
...as follows: 12' : 18' :: 113.098 : area required, or 144 : 324 :: 113.098 : 254.47 sq. in. 1191. An angle formed by a tangent and a chord meeting at the point of contact is measured by half the included arc. Thus, in Fig. 241, the angle ACD formed by the meeting of the tangent AB and the chord... | |
 | George Albert Wentworth - 1899 - 496 σελίδες
...semicircumference. PROPOSITION XIX. THEOREM. 295. An angle included by a tangent and a chord drawn from the point of contact is measured by half the intercepted arc. Let M AH be the angle included by the tangent MO to the circle at A and the chord AH. To prove that the... | |
 | George Albert Wentworth - 1899 - 272 σελίδες
...semicircumference. PROPOSITION XIX. THEOREM. 295. An angle included by a tangent and a chord drawn from the point of contact is measured by half the intercepted arc. Let MAH be the angle included by the tangent MO to the circle at A and the chord AH. To prove that the... | |
 | International Correspondence Schools - 1903 - 846 σελίδες
...as follows: 12' : 18* :: 113.098 : area required, or 144 : 324 :: 113.098 : 254.47 sq. in. 1191. An angle formed by a tangent and a chord meeting at the point of contact is measured by half the included arc. Thus, in Fig. 241, the angle ACD formed by the meeting of the tangent AB and the chord... | |
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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 angle BAD be measured by half... 