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
| Canada. Dept. of the Interior - 1888
...Describe a square which shall be equal to a given rectilineal figure. 6. Eqnal straight lines in a circle **are equally distant from the centre ; and those which are equally distant from the centre are** eqnal to one another. 7. Similar segments of circles on eqnal straight lines are equal to one another.... | |
| E. J. Brooksmith - Mathematics - 1889
...without the triangle between the perpendicular and the obtuse angle. 6. Equal straight lines in a circle **are equally distant from the centre, and those which...distant from the centre are equal to one another.** The chords AB and CD of the circle ACBD intersect in 0. Prove that if the difference of the segments... | |
| New Brunswick. Board of Education - Education - 1889
...the same centre. 2. 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.** 3. When two circles intersect, their common cord bisects their common tangent. 4. In a given circle... | |
| E. J. Brooksmith - Mathematics - 1890 - 132 pages
...decagon. 2. Describe a square equal to a given rectilineal figure. 3. Equal straight lines in a circle **are equally distant from the centre ; and those which...distant from the centre are equal to one another.** 4. Draw a straight line from a given point, either without or in the circumference, which shall touch... | |
| I. Hammond Morris - Mathematics - 1890 - 260 pages
...passes through the point of contact.' (Eue. ni. 11 and 12.) б. ' Equal straight lines in a circle **are equally distant from the centre ; and those which are equally distant from the centre are equal.'** (Eue. ni. 14.) с. ' If a straight line touch a circle, the straight line drawn from the centre to... | |
| Edward Albert Bowser - Geometry - 1890 - 393 pages
...circle, or in equal circles, equal chords are equally distant from the centre; and conversely, chords **•which are equally distant from the centre are equal to one another.** (1) Hyp. Let AB, CD be equal chords in the O ABDC, and let OF,OE be J_ to AB, CD. To prove OF = OE.... | |
| University of Toronto - 1901
...any triangle, D the middle point of Aß, then AC* + BC* = 2 Aß2 + 2 DC*. 4. Equal cords in a circle **are equally distant from the centre ; and tho.se which...distant from the centre are equal to one another.** (III. 14.) 5. If a straight line touch a circle, and from the point of contact a chord be drawn, the... | |
| Eldred John Brooksmith - Mathematics - 1901
...it at right angles ; and if it cut it at right angles, it bisects it. 7. Straight lines in a circle **which are equally distant from the centre are equal to one another.** 8. If a straight line touch a circle, and from the point of contact a straight line be drawn cutting... | |
| University of Sydney - Education - 1902
...Describe a square which shall be equal to a given rectilineal figure. 7. Equal straight lines in a circle **are equally distant from the centre ; and those which...distant from the centre are equal to one another.** 8. If from any point without a circle there be drawn two straight lines, one of which cuts the circle,... | |
| Giuseppe Moleti, Walter Roy Laird - History - 2000 - 222 pages
...to one another, and the diameter bisects the areas,' Euclid, Elements, 1 .34, tr. Heath, 1: 323-6; **'In a circle equal straight lines are equally distant...distant from the centre are equal to one another,'** Euclid, Elements, 3.14, tr. Heath, 2:34-6. 39 On the two suppositions, see note 36 above. 40 'If from... | |
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