 | Pierce Morton - 1830 - 584 pages
...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...that is, upon the same part of the circumference. Let А С В be any angle at the centre С oí the circle A B'D, and let ADB be _D 86 GEOMETRY. an... | |
 | John Martin Frederick Wright - 1833 - 332 pages
...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 lowest ^3 _ sx- — 12z + 144 terms.... | |
 | Thomas Perronet Thompson - 1833 - 168 pages
...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 to any... | |
 | 1833 - 414 pages
...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 also known facts (see... | |
 | Euclides - 1834 - 518 pages
...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 pages
...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...that is, upon the same part of the circumference. Let А С В be any angle at the centre С of the circle А В D, and let ADB be an angle at the circumference... | |
 | Robert Simson - 1835 - 544 pages
...Therefore, " if a straight line" &c. QED PROP. XX. THEOR. The angle at the centre of a circle is double the angle at the circumference upon the same base, that is, upon the same part of the circumference. a 5. 1. . l. Let ABC be a circle, and BEC an angle at the centre, Book III. and BAC an angle at the... | |
 | Euclid - 1835 - 540 pages
...if a straight line" &c. QED PROP. XX. THEOR. S«e N. The angle at the centre of a circle is double the angle at the circumference upon the same base, that is, upon the same part of the circumference. B a 5. 1. b 32. 1. Let ABC be a circle, and BEC an angle at the centre, Book in. and BAC an angle at... | |
 | John Playfair - 1836 - 148 pages
...the centre ; that is, the centre is in CA. Therefore, if a straight line, &c. QED B PROP. XII. THEOR. The angle at the centre of a circle is double of the...that is, upon the same part of the circumference. Let ABC be a circle, and BEC an angle at the centre, and BAC an angle at the circumference, which have... | |
 | John Playfair - 1836 - 488 pages
...centre ; that is, the centre i$ in CA, Therefore, if a straight line, &c. QE Di PROP. XX. THEOR. ^ The angle at the centre of a circle is double of the...the circumference, upon the same base, that is, upon thc.same part of the circumference. Let ABC be a circle, and BDC an angle at the centre, and BAC an... | |
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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. 
