 | John Mason Good - 1819 - 800 Seiten
...right angles to the touchingline, the centre of the circle shall be in that line. Prop. XX. Theor. 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. Prop. XXI. Theor.... | |
 | 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 - 1823 - 210 Seiten
...to AB, which is impossible : therefore the angle ACB is equal to DCE. THEOREM 34. 91. An angle, ACB, at the centre of a circle, is double of the angle at the cirumference, upon the same arc, AB. Draw DC, (fig. 1,) and produce it to E. First, let the angle at... | |
 | 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 be a circle,... | |
 | 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 be a circle,... | |
 | 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 centre,... | |
 | 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,... | |
 | Pierce Morton - 1830 - 584 Seiten
...between one and two, two and three, three and four, &c. quadrants. PROP. 14. (Eue. iii. 20.) The a?igle 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 В be... | |
 | 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 ; to its... | |
 | 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 added together... | |
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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. 
