 | Dugald Stewart - 1822 - 572 Seiten
...quantities, and the connexions which exist between d ¡i li wiit relations. When we demonstrate, that the angle at the centre of a circle is double of the anglt? at the circumference on the same base, we ascertain a relation between two quantities. When... | |
 | Peter Nicholson - 1825 - 1046 Seiten
...centre ; that is, the centre is in CA. Therefore, if a straight line, &c. QED Proposition XX. Theorem. The angle at the centre of a circle is double of the angle at the circumference, upon the same*base, that is, upon the same part of the circumference. Let ABC... | |
 | Robert Simson - 1827 - 546 Seiten
...centre; that is, the centre is in CA. Therefore, if a straight line, &c. QED PROP. XX. THEOR. See N. The angle at the centre of a circle is double of the angle at the circumference upon the same base, that is, upon the same part of the circumference. Let ABC... | |
 | John Playfair - 1829 - 210 Seiten
...centre; that is, the centre is in CA. Therefore, if a straight line &c. QE 1). PROPOSITION XX. THEOREM. The angle at the centre of a circle is double of the angle at -the circumference, both standing on the same arch. Let ABC be a circle, and BDC an angle at the... | |
 | Dugald Stewart - 1829 - 482 Seiten
...different quantities, and the connexions which exist between different relations. When we demonstrate, that the angle at the centre of a circle is double of the angle at the circumference on the same base, we ascertain a relation between two quantities. When we demonstrate,... | |
 | Thomas Perronet Thompson - 1833 - 168 Seiten
...Proposition called by Simson the Twentieth of the Third Book, the object of -vhich is to show that the angle at the centre of a circle is double of the angle at the circumference. COR. 16. If evidence is demanded of the existence of magnitudes which, being... | |
 | John Martin Frederick Wright - 1833 - 332 Seiten
...given point, 2c the radius of the generating circle of the cycloid = — TRINITY COLLEGE, JUNE 1832. 1. THE angle at the centre of a circle is double of the angle at the circumference upon the same base. 'io .& rtr • 3x* — ifix — 12 2. Reduce the fraction... | |
 | 1833 - 414 Seiten
...of A and B is double of the sum or difference of C and D. It can thence be immediately proved that the angle at the centre of a circle is double of the angle at the circumference, and that all the angles in the same segment are equal. These we suppose to be... | |
 | Euclides - 1834 - 518 Seiten
...that is, the centre is in ('A. Therefore, if a straight line, &c. y. ED PROPOSITION XX. TnEOR. — The angle at the centre of a circle is double of the See N. angle at the circumference upon the same base, thai is, upon the same pit rt of the circumference.... | |
 | 1835 - 684 Seiten
...magnitudes between one and two, two and three, three and four, &c. quadrants. PROP. 14. (Euc.iii. 20.) The angle at the centre of a circle is double of the angle at the circumference upon the same base, that is, upon the same part of the circumference. Let А С... | |
| |
The angle at the centre of a circle is double of the angle at the circumference upon the same base, that is, upon the same part of the circumference. 
