 | Charles William Hackley - Geometry - 1847 - 248 pages
...right angle must have for its measure a quarter of the circumference, or 90 degrees. THEOREM XXXIX. An angle at the circumference of a circle is measured by half the arc that subtends it. Let BAC be an angle of the circumference ; it has for its measure half the arc which... | |
 | George Roberts Perkins - Geometry - 1850 - 332 pages
...one right-angle must have for its measure a quarter of the circumference. PROPOSITION VII. THEORKM. An angle at the circumference of a circle is measured by half the arc that subtends it. Let BAC be an angle at the ^ n circumference: it has for its measure half the arc... | |
 | Charles Davies - Geometry - 1850 - 238 pages
...between their centres : hence, they are tangent to each other. GEOMETRY Of the Circle. THEOREM VIi:.. An angle at the circumference of a circle is measured by half the arc that subtends it. Let BAD be an inscribed angle : then will it be measured by half the arc BED, which... | |
 | Charles Davies - Geometry - 1850 - 218 pages
...between their centres : hence, they are tangent to each other. GEOMETRY . Of the C ircie . THEOREM VII7.. An angle at the circumference of a circle is measured by half the arc that subtends it. Let BAD be an inscribed angle : then will it be measured by half the arc BED, which... | |
 | Anthony Nesbit - Measurement - 1859 - 494 pages
...each other. 7. An angle formed by a tangent and chord is measured by half the arc of that chord. 8. An angle at the circumference of a circle, is measured by half the arc that subtends it. 9. All angles formed In the same segment of a circle, or standing on the same arc,... | |
 | Samuel Alsop - Surveying - 1865 - 440 pages
...circle Fig. 11. is double the angle at the circumference upon the same arc; or, in other words, the angle at the circumference of a circle is measured by half the arc intercepted by its sides. (20.3.) Thus, the angle ADB is half ACB; and is, therefore, measured by one.half... | |
 | Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...one right angle must have for its measure a quarter of the circumference, or 90 degrees. THEOREM IX. An angle at the circumference of a circle is measured by half the arc that subtends it. Let BAC be an angle at the circumference : it has for its measure half the arc "BC,... | |
 | Edward Brooks - Geometry - 1868 - 284 pages
...this purpose it has been divided into degrees, minutes, and seconds, as before explained. THEOREM VII. An angle at the circumference of a circle is measured by half the arc included between its sides. There may be three cases; first, when the centre of the circle is on one... | |
 | David Munn - 1873 - 160 pages
...expression ' is measured by' is used for ' has the same numerical measure as.' Cor. i.—An angle, ABC, at the circumference of a circle is measured by half the arc AC on which it stands, since it is equal to half the angle AOC at the centre (Euclid, III. 20). Cor.... | |
 | Edward Sang (F.R.S.E.) - 1875 - 148 pages
...of BDA which is the sum or the difference of BDC and CDA. This theorem may be neatly stated thus: " An angle at the circumference of a circle is measured by half the intercepted arc." If we suppose the circumference to be divided into degrees, the number of such degrees... | |
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An angle at the circumference of a circle is measured by half the arc that subtends it. Let BAC be an angle at the circumference : it has for its measure half the arc "BC, which subtends it. 
