 | Adrien Marie Legendre - 1828 - 346 sider
...measured by the half of the circumference ; hence their sum is equal to two right angles. THEOREM. 131. The angle formed by a tangent and a chord, is measured by the half of the arc included between its sides. Let BE be the tangent and AC the chord. From A, the... | |
 | 1830 - 522 sider
...is the sine of the proposed arc AB, to the radius OA or OB. Also, since the angle included between a tangent and a chord, is measured by half the arc of that chord (Geom. Hutton's Course, th. 48.) therefore the angle 4AB=ABC (by the parallels Ab, CB,)... | |
 | Perry Fairfax Nursey - 1830 - 512 sider
...is the sine of the proposed arc ЛВ, to the radius OA or OB. Also, since the angle included between a tangent and a chord, is measured by half the arc of that chord (Georn. Hutton's Course, th. 48.) therefore the angle frAB=t=ABC (by the parallels Ai, CB,)... | |
 | Adrien Marie Legendre - 1836 - 394 sider
...half the difference of BEC and EC, or half the difference of EEC and DF. PROPOSITION XXI. THEOREM. The angle formed by a tangent and a chord, is measured by half of the arc included between its sides. Let BE be the tangent, and AC the chord. From A, the point of... | |
 | Nathan Scholfield - 1845 - 894 sider
...those arcs, and also that either of them is measured by half of that sum. 73 PROPOSITION XXr. THEOREM. The angle formed by a tangent and a chord is measured by half the arc included between its sides. Let BE be the tangent, and AC the chord. From A, the point of contact,... | |
 | Elias Loomis - 1849 - 252 sider
...by half the circumference ; hence their sum is equal to two right angles. PROPOSITION XVI. THEOREM. The angle formed by a tangent and a chord, is measured by half the arc included between its sides. Let the straight line BE touch the circumference ACDF in the point A, and... | |
 | Charles Davies - 1850 - 218 sider
...DAB by half the arc BD (Th. viii) : hence, the two arcs AC and BD are themselves equal. THEOREM XIV. The angle formed by a tangent and a chord, is measured by halj the arc of the chord. Let BAE be tangent to the circle at the point A, and AC any chord. From... | |
 | Charles Davies - 1850 - 238 sider
...DAB by half the arc BD (Th. viii) : hence, the two arcs AC and BD are themselves equal. THEOREM XIV. The angle formed by a tangent and a chord, is measured by halj the arc of the chord. Let BAE be tangent to the circle at the point A, and AC any chord. From... | |
 | Johann Georg Heck - 1851 - 712 sider
...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 same or upon... | |
 | 1851 - 716 sider
...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 same or upon... | |
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The angle formed by a tangent and a chord is measured by half the intercepted arc. 
