 | Thomas Keith - Navigation - 1810 - 478 pages
...the centre is equal to an angle at the circumference standing on the double arc; or in Other words, an angle at the circumference of a circle is measured by half the arc on "which it stands, and an angle at the centre by the whole arc on which it stands: hence the... | |
 | Charles Hutton - Mathematics - 1812 - 620 pages
...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 - Arithmetic - 1818 - 646 pages
...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... | |
 | Charles Hutton - Mathematics - 1822 - 616 pages
...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... | |
 | Thomas Keith - Navigation - 1826 - 504 pages
...parallel to гв, that is, perpendicular to ъе, then will the arc Ed 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, (Keith's Euclid 167 o/"VII). the angle ECD will be equal to the angle dos,... | |
 | Thomas Keith - 1839 - 498 pages
...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... | |
 | Charles Davies - Geometrical drawing - 1840 - 264 pages
...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... | |
 | Joseph Gwilt - Architects - 1842 - 1114 pages
...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... | |
 | Scottish school-book assoc - 1845 - 444 pages
...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... | |
 | Charles Davies - Geometrical drawing - 1846 - 254 pages
...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... | |
| |
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. 
