 | Robert Simson - Trigonometry - 1806 - 546 pages
...circumference BKC to the circumference ELF. Wherefore, in equal circles, &c. QED PROP. XXVII. THEOR. IN equal circles, the angles which stand upon equal circumferences are equal to one another, whether they be at the centres or circumferences. Let the anglesMBGC, EHF at the centres, and BAC,... | |
 | John Mason Good - 1813 - 714 pages
...equal circumferences, whether they be at the centres or circumferences. Pr»b. XXVII. Theor. In equ.il circles, the angles which stand upon equal circumferences are equal to one another, whether they be at the centres or circumferences. Prop. XXV11I. Theor. In equal circles, equal straight... | |
 | Euclides - 1816 - 588 pages
...circumference BKC to the circumference ELF. Wherefore, in equal circles, &c. QED PROP. XXVII. THEOR. IN equal circles, the angles which stand upon equal circumferences are equal to one another, whether they be at the centres or circumferences. Let the angles BGC, EHF at the centres, and BAC,... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...circumference BKC to the circumference ELF. Wherefore, in equal circles, &c. QED f3 Ax. PROP. XXVII. THEOR. In equal circles, the angles which stand upon equal circumferences are equal to one another, •whether they be at the centres or circumferences, Let ABC, DEF be equal circles, and let the angles... | |
 | Euclid - 1835 - 540 pages
...circumference BKC to the circumference ELF, "Wherefore, " t'n equal circles" &c. QED PROP. XXVII. THEOR. In equal circles, the angles which stand upon equal circumferences are equal to one another, whether they be at the centres or 'circumferences. Let the angles BGC, EHF at the centres, and BAC,... | |
 | John Playfair - Geometry - 1836 - 148 pages
...circumference BKC to the circumference ELF. Wherefore, in equal circles, &c. QED PROP. XVIII. THEOR. In equal circles, the angles which stand upon equal circumferences are equal to one another, whether they be at the centres or circumferences. Let the angles BGC, EHF at the centres, and BAC,... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...segt. EDF, by xxiv. III. 4. that BKC = ELF. 2. a PROPOSITION XXVII. (Argument ad absurdum). Theorem. In equal circles, the angles which stand upon equal circumferences are equal to each other, whether they be at the centres or circumferences. K Steps of the Demonstration. State that... | |
 | Robert Simson - Geometry - 1838 - 434 pages
...circumference BKC to the circumference ELF. Wherefore, in equal circles, &c. QED PROP. XXVII. THEOR. Is equal circles, the angles which stand upon equal circumferences are equal to one another, whether they be at the centres or circumferences. Let the angles BGC, EHF at the centres, and BAC,... | |
 | Euclides - Geometry - 1841 - 378 pages
...circumference BKC to the circumference ELF. Wherefore, in equal circles, &c. QED PROP. XXVII. THEOR. In equal circles, the angles which stand upon equal circumferences are equal to one another, whether they be at the centres or circumferences. Let ABC, DEF be equal circles, and let the angles... | |
 | Society for the diffusion of useful knowledge - 1841 - 522 pages
...this be so, then we throw the difficulty on another proposition, the 27th. It is there shown that ' in equal circles, the angles which stand upon equal circumferences are equal whether they stand at the centre or at the circumference.' If no mention of angles greater than two... | |
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In equal circles, the angles which stand upon equal circumferences are equal to one another, whether they be at the centres or circumferences. Let... 
