 | Robert Potts - Geometry - 1876 - 446 pages
...angles, the center of the circle is in the line •which bisects the other. PROPOSITION H. THEOREM. If any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle. Let ABC\ie a circle, and A, £ any two... | |
 | Euclides, James Hamblin SMITH - 1876 - 382 pages
...If the chord CE be bisected in F, then F is the centre of the. circle. PROPOSITION II. THEOREM. // any two points be taken in the circumference of a circle, the straight line, which joins them, must fall within the circle. C Let A and B be any two pts. in the... | |
 | Āryabhaṭa - 1878 - 100 pages
...greater than the more remote. [The following corollaries should also be learned by the student, j 1 . If any two points be taken in the circumference of a circle, the straight line which joins them lie within the circle. 2. If in a circle two straight lines cut one... | |
 | Rolla Rouse - 1879 - 400 pages
...Third Book of Euclid and have relation to differentials as regards circles. 28. If any two points lie taken in the circumference of a circle, the right line which joins them will fall within the circle. (Euclid, 3, 2). In Fig. D 1 8, let there be two points a and b in the... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...angles, the centre of the circle is in the line which bisects the other. Proposition 2. Theorem.—If any two points be taken in the circumference of a- circle, the straight line which joins them will fall within the circle. Let ABC be the circle, and A, B any two... | |
 | Education, Higher - 1884 - 538 pages
...is always greater than one more remote ; and the greater is nearer to the centre than the less. 8. If any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle. 9. If two triangles have two sides of... | |
 | Isaac Sharpless - Geometry - 1882 - 286 pages
...angles, the centre of the circle is in the line which bisects the other. Proposition 2. TJieorem. — If any two points be taken in the circumference of a circle, the straight line which joins them will fall within the circle. Let ABC be the circle, and A, B any two... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...centre ; that is, F is the centre of the circle ABC: which was to be found. PROPOSITION 2. THEOREM. If any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle. Let ABC be a circle, and A and B any two... | |
 | Euclides - 1884 - 434 pages
...O **. 9. Hence give another method of finding the centre of a given circle. PROPOSITION 2. THEOREM. If any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle.* Let ABC be a circle, A and B any two... | |
 | New Brunswick. Board of Education - Education - 1889 - 1004 pages
...the рш • А 56 W:.EXAMINATION QUESTIONS FOlt LICKNSK. 1891. IM GEOMETRY. Time, l hr. SO min, 1. If any two points be taken in the circumference of a circle, the straight line, which joins them, must fall within the circle. 2. The angles in the same segment of... | |
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If any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle. 
