| Great Britain. Admiralty - 1846 - 130 páginas
...Cr. of ©ABC; ie the Cr. of ©, is in CA. Therefore, if a str. line, &c. PROP. LV. THEOR. 20. 3Eu. **The angle at the centre of a circle is double of the angle at the circumference upon the same** arc, that is, upon the same part of the circumference. Fig. 1. A Fig. 2. F*> BC 1st. Let Cr. E be within... | |
| Great Britain. Admiralty - 1846 - 130 páginas
...Cr. of ©ABC; ie the Cr. of 0, is in CA. Therefore, if a str. line, &c. PROP. LV. THEOR. 20. 3 E U . **The angle at the centre of a circle is double of the angle at the circumference upon the same** arc, that is, upon the same part of the cir-cumference. Fig. 1. Fig. 2. 1st. Let Cr. E be within the... | |
| Euclides - 1846 - 272 páginas
...that no other point without the right line AB, is the centre. PROPOSITION XX. THEOREM. The angle (ACD) **at the centre of a circle, is double of the angle at the circumference,** when they have the same part of the circumference for their base. Firstly — Let either leg of the... | |
| Great Britain. Committee on Education - 1847
...extremities 36° 20' and 60° Iff ; required the perpendicular height of the triangle. 6. The arigleat **the centre of a circle is double of the angle at the circumference,** standing on the same arc of the circumference. 7. The three sides of a triangle arc 17, 25, and 28... | |
| Euclides - 1848 - 52 páginas
...right angles to the touching line, the centre of the circle shall be in that line. PROP. XX. THEOREM. **The angle at the centre of a circle is double of the...that is, upon the same part of the circumference.** PROP. XXI. THEOREM. The angles in the same segment of a circle are equal to one another. PROP. XXII.... | |
| John Playfair - 1849 - 332 páginas
...that no other point which is not in CA, is the centre ; that is, the centre is in CA. PROP. XX. THEOR. **The angle at the centre of a circle is double of the...the same base, that is, upon the same part of the** circumferB E Let ABC be a circle, and BDC an angle at the centre, and BAC an angle at the circumference... | |
| Euclid, Thomas Tate - 1849 - 120 páginas
...centre is in CA. Therefore if a straight line, &c. QED PROP. XX. THEOB. The angle at the centre of the **circle is double of the angle at the circumference,...that is, upon the same part of the circumference.** Let AB'C be a circle, and BEC an angle at the centre, and BAG an angle at the circumference, which... | |
| Great Britain. Committee on Education - 1850
...circle to the middle point of any chord in the circle, is perpendicular to that chord. 2. Show that **the angle at the centre of a circle is double of the angle at the circumference upon the same base.** 3. If two straight lines cut one another within a circle, the rectangle contained by the segments of... | |
| Her MAjesty' Inspectors of schools - 1850
...base and the straight line intercepted between the perpendicular and the obtuse angle. ^Section 2. 1. **The angle at the centre of a circle is double of the angle at the circumference.** 3. If two straight lines cut one another in a circle, the rectangle of the segments of the one is equal... | |
| Harvey Goodwin - 1851 - 196 páginas
...to one another. Shew that all equal straight lines in a circle will be touched by another circle. 5. **The angle at the centre of a circle is double of the...that is, upon the same part of the circumference.** If two straight lines AEB, CED in a circle intersect in E, the angles subtended by AC and BD at the... | |
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