 | Adrien Marie Legendre - Geometry - 1828 - 346 pages
...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... | |
 | Industrial arts - 1830 - 522 pages
...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 - Industrial arts - 1830 - 512 pages
...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 - Geometry - 1836 - 394 pages
...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 pages
...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 - Conic sections - 1849 - 252 pages
...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 - Geometry - 1850 - 218 pages
...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 - Geometry - 1850 - 238 pages
...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 - Encyclopedias and dictionaries - 1851 - 712 pages
...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 pages
...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... | |
| |
The angle formed by a tangent and a chord is measured by half the intercepted arc. 
