| Massachusetts - 1899 - 1234 pages
...that in any triangle the greater angle lies opposite the greater side. 4. Prove that the angle between a tangent and a chord is measured by one-half the intercepted arc. 5. Construct a tangent to a circle from a given point without the circle. Explain construction fully.... | |
| Johann Georg Heck - Encyclopedias and dictionaries - 1851 - 712 pages
...is 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... | |
| 1851 - 716 pages
...is 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... | |
| Johann Georg Heck - Encyclopedias and dictionaries - 1860 - 332 pages
...is 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... | |
| William Chauvenet - Mathematics - 1872 - 382 pages
...circumference, which is the measure of two right angles, (54) and (I. 19). PROPOSITION XXII.— THEOREM. 62. An angle formed by a tangent and a chord is measured...the diameter AD. The angle BAD being a right angle (27), is measured by one-half the semi-circumference AMD ; and the angle CAD is measured by one-half... | |
| Wisconsin. Department of Public Instruction - Education - 1873 - 458 pages
...Parallelograms on equal bases, and between the same parallels, are equal in area. 10. Theorem. — The angle formed by a tangent and a chord is measured by one-half the intercepted arc. NATURAL PHILOSOPHY. 1. Define specific gravity; how is it ascertained? 2. Explain the principle of... | |
| Education - 1873 - 444 pages
...Parallelograms on equal bases, and between the same parallels, are equal in area. 10. Theorem.—The angle formed by a tangent and a chord is measured by one-half the intercepted arc. NATURAL PHILOSOPHY. 1. Define specific gravity; how is it ascertained? 2. Explain the principle of... | |
| Aaron Schuyler - Measurement - 1864 - 512 pages
...or in the corresponding angle at the center, be equal to d, the degree of curvature. The angle ABp, formed by a tangent and a chord, is measured by one.half the arc Bp, and is therefore equal to id. Each of the inscribed angles, pBq, qBr, is measured by one.half... | |
| Wisconsin - Wisconsin - 1874 - 1050 pages
...Parallelograms on equal bases, and between the same parallels, are equal in area. 10. Theorem.— The angle formed by a tangent and a chord is measured by one-half the intercepted arc. NATURAL PHILOSOPHY. 1. Define specific gravity; how is it ascertained? 2. Explain the principle of... | |
| William Chauvenet - Geometry - 1875 - 466 pages
...circumference, which is the measure of two right angles, (54) and (I. 19). PROPOSITION XXII.—THEOREM. 62. An angle formed by a tangent and a chord is measured...then, it is measured by one-half the intercepted arc Ana For, draw the diameter AD. The angle BAD being a right angle (27), is measured by one-half the... | |
| |