 | Education Department,London - 1876 - 1010 pages
...their difference together with four times the rectangle contained by the two lines. SECTION П. 2. If a point be taken within a circle from which there fall more than two equal straight lines to tho circumference, that point is the centre of the circle. If a circle be described... | |
 | Euclides, James Hamblin SMITH - 1876 - 382 pages
...that which meets the circumference after passing.through the ecru 1.20. QED PROPOSITION IX. THEOREM. If a point be taken within a circle, from, which there fall more than two equal straight lines to the circumference, that point is the centre of the circle. Let O be a pt. in the... | |
 | Euclides - 1878 - 398 pages
...greatest is that which meets the circumference after passing-through the PROPOSITION IX. THEOREM. // a point be taken within a circle, from which there fall more than two equal straight lines to the circumference, that point is the centre of the circle. Let 0 be a pt. in the... | |
 | University of Oxford - Greek language - 1879 - 414 pages
...the rectangle contained by the whole and that part, together with the square on the other part. 4. If a point be taken within a circle, from which there fall more than two equal straight lines to the circumference, that point is the centre of the circle. 5. In a given circle,... | |
 | University of Oxford - Education, Higher - 1879 - 584 pages
...line from a given point, either without or in the circumference, which shall touch a given circle. 8. If a point be taken within a circle, from which there fall more than two equal straight linos to the circumference, that point is the centre of the circle. 9. Describe a circle about... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...(I. 22) BF is greater than CF. In the same way CF is greater than GF. Proposition 8. Theorem.—If a point be taken within a circle, from which there fall more than two equal straight lines on the circumference, that point is the centre of the circle. Let D be a point in ABC,... | |
 | Education, Higher - 1884 - 538 pages
...the square on the line between the points of section, is equal to the square on half the line. 14. If a point be taken within a circle, from which there...equal lines to the circumference, that point is the centre of the circle. . 15. Similar polygons may be divided into the same number of similar triangles,... | |
 | Education, Higher - 1882 - 498 pages
...line into such parts that the sum of their squares shall be double the square on another line. 15. If a point be taken within a circle from which there fall more than two equal straight lines to the circumference, that point is the centre of the circle. 16. Draw a tangent to... | |
 | Isaac Sharpless - Geometry - 1882 - 286 pages
...therefore (I. 8) BF is greater than CF. In the same way CF is greater than GF. Proposition 8. Theorem. — If a point be taken within a circle, from which there fall more than two equal straight lines on the circumference, that point is the centre of the circle. Let D be a point in ABC,... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...which is more remote ; which is impossible by what has been already shewn. PROPOSITION 9. THEOREM. If a point be taken within a circle, from which there fall more than two equal straight lines to the circumference, that point is the centre of the circle. Let the point D be taken... | |
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If a point be taken within a circle, from which there fall more than two equal straight lines to the circumference, that point is the centre of the circle. Let... 
