 | Thomas Keith - 1810 - 478 σελίδες
...parallel to FB, that is, perpendicular to Er, then will the arc Ej be equal to the arc ED ; and since cai angle, at the circumference of a circle is measured by half the arc on which it stands, the angle ECD will be equal to the angle //DE, or which is the same thing, equal to the angle ABE,... | |
 | Charles Hutton - 1812 - 514 σελίδες
...; a will be the sine of half that arc, or the sine of the angle to the radius r, since an angle in the circumference of a circle is measured by half the arc on which it stands ; now it is well known that the said half arc % is equal to a + 2-37 + iSp + drS^ &c ; and - 3iU159r... | |
 | Charles Hutton - 1812 - 620 σελίδες
...right angle must have for it$ measure a quarter of the circumference, or 90 degrees. THEOREM XLIX. An Angle at the Circumference of a Circle, is measured by Half the Arc that subtends it. AE •• . Let it AC be an angle at the circumference ; it has for its measure,... | |
 | Charles Hutton - 1818 - 646 σελίδες
...right angle must !uve for its measure a quarter of the circumference, or 90 degrees. THEOREM XLIXAN Angle at the Circumference of a Circle, is measured by Half the Arc that subtends it. Let BAC be an angle at the circumference ! J> A. B it has for its measure, halt the... | |
 | Charles Hutton - 1822 - 616 σελίδες
...right angle must have for its measure a quarter of the circumference, or 90 degrees. THEOREM XLIX. AN Angle at the Circumference of a Circle, is measured by Half the Arc that subtends it. k Let BAC be an angle at the circumference ; it has for its measure, half the arc... | |
 | Thomas Keith - 1839 - 498 σελίδες
...parallel to FB, that is, perpendicular to EC, then will the arc Erf be equal to the arc ED ; and since an angle at the circumference of a circle is measured by half the arc on which it stands (20 Euclid III), the angle ECD will be equal to the angle <£DE, or, which is the same thing, equal... | |
 | Charles Davies - 1840 - 264 σελίδες
...Thus, the angle ACB is measured by the degrees in the arc AEB, and is subtended by the arc AEB. 16. An angle at the circumference of a circle, is measured by half the arc which subtends it. Thus, the angle BAD is measured by half the one BD. Hence, it follows, that when... | |
 | Joseph Gwilt - 1842 - 1114 σελίδες
...half the arc TGD, since these two halves of arcs make up half the circumference. B 918. PKOP. XLII. An angle at the circumference of a circle is measured by half the arc by which it is subtended. Let CTD (fig. 274.) be the angle at the circumference; it has for its measure... | |
 | Scottish school-book assoc - 1845 - 444 σελίδες
...the same segment of a circle, or the angles standing on equal arcs, are equal to each other. Cor. 2. An angle at the circumference of a circle is measured by half the arc on which it stands. For by the proposition it is half the angle at the centre, and the angle at the centre is measured... | |
 | Charles Davies - 1846 - 254 σελίδες
...in the are AEB, and is subtended by the arc AEB. 16. What measures an angle at the circumference ? An angle at the circumference of a circle, is measured by half the arc which subtends it. Thus, the angle BAD is measured by half the arc BD. Hence, it follows, that when... | |
| |
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. 
