EQUAL straight lines in a circle are equally distant from the centre ; and those which are equally distant from the centre, are equal to one another. Books 3-9 - Page 34by Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908Full view - About this book
| Henry William Watson - Geometry - 1871 - 285 pages
...above. PROPOSITION 7. In the same circle equal chords are equally distant from the centre, and chords **which are equally distant from the centre are equal to one another** ; and similarly for equal circles. 1st. Let BC and DE be two equal chords in the circle BCDE, whose... | |
| Euclides - Geometry - 1872 - 349 pages
...PROPOSITION XIV. THEOREM. Equal chords in a circle are equally distant from the centre ; and conversely, **those which are equally distant from the centre, are equal to one another. Let** the chords AB, CD in the © ABDC be equal. Then must AB and CD be equally distant from the centre O.... | |
| Euclides - 1872
...PROPOSITION XIV. THEOREM. Equal chords in a circle are equally distant from the centre; and conversely, **those, which are equally distant from the centre, are equal to one another. Let** the chords AB, CD in © ABDCbe equal. Then must AB and CP be equally distant from the centre O. Draw... | |
| Henry Major - Student teachers - 1873
...cannot touch another on the outside at more points than one. XTV. — Equal straight lines in a circle **are equally distant from the centre ; and those which...distant from the centre are equal to one another. Let** AB, CD in ABDC, be equal to one another; they are equally distant from the centre. Take E, the centre... | |
| Euclides - 1874
...— Theorem. Equal straight lines in a circle are equally distant from the centre ; and conversely, **those which are equally distant from the centre, are equal to one another. Let** the straight lines AB, CD, in the circle ABDC, be equal to one another. Then AB and CD shall be equally... | |
| Francis Cuthbertson (geometer.) - 1874
...35) but square on AR = square on CS; .-. square on RQ = square on SQ; Conversely: Chords in a circle **which are equally distant from the centre are equal to one another. -Let** the chords AB, CD of the ®ABC be equally distant from the centre Q; that is, let the perpendiculars... | |
| Edward Atkins - 1876
...— Theorem. i Equal straight tines in a circle are equally distant from the centre; and, conversely, **those which are equally distant from the centre are equal to one another. Let** the straight lines AB, CD, in the circle ABDC, be equal to one another. Then they shall bo equally... | |
| Isaac Sharpless - Geometry - 1879 - 266 pages
...the sum of the radii, the two circles will touch externally. Proposition 12. Theorem.—Equal chords **are equally distant from- the centre; and those which...distant from the centre are equal to one another. Let** the chords AB, CD in a circle be equal to each other; they will be equally distant from the centre.... | |
| Oxford univ, exam. papers, 1st publ. exam - 1879
...line and of the square on the line between the points of section. 4. Equal straight lines in a circle **are equally distant from the centre : and those which...distant from the centre are equal to one another.** 5. About a given circle describe a triangle equiangular to a given triangle. 6. Define — proportionals,... | |
| Great Britain. Civil Service Commission - 1879
...circle. 6. Equal straight lines in a circle are equally distant from the centre ; and, conversely, **those which are equally distant from the centre are equal to one another.** 7. In a circle, the angle in a semicircle is a right angle, but the angle in a segment greater than... | |
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