 | 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 another, and do not pass through... | |
 | Isaac Sharpless - 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 points in the circumference ;... | |
 | Isaac Todhunter - 1880 - 426 pages
...circle, the straight line which joins them shattfall within the circle. Let ABC be a circle, and A and B any two points in the circumference : the straight...without, as AEB. Find D the centre of the circle ABC; [III. 1. and join DA, DB ; in the arc AB take any point F, join DF, and produce it to meet the straignt... | |
 | 1884 - 538 pages
...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...line which joins them shall fall within the circle. 9. If two triangles have two sides of the one equal to two sides of the other, but the base of one... | |
 | 1883 - 536 pages
...with the square on their difference, is double the squares on the two straight lines. 11. If any point be taken in the circumference of a circle, the straight...line which joins them shall fall within the circle. 12. Inscribe a circle in a given equilateral and equiangular pentagon. 13. Give Euclid's definitions... | |
 | 1881 - 504 pages
...tangent, secant, sector, quadrant. Comment on Euclid's use of the words circle and circumference. 7. If any two points be taken in the circumference of a circle, the straight line which joins them falls within the circle. A straight line cannot cut the circumference of a circle in more than two... | |
 | Euclid, Isaac Todhunter - 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...fall within the circle. Let ABC be a circle, and A and B any two points in the circumference : the straight line drawn from A to B shall fall within the... | |
 | Euclides - 1884 - 434 pages
...**. 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...shall fall within the circle.* Let ABC be a circle, A and B any two points in the Qce : it is required to prove that AB shall fall within the circle. Find... | |
 | New Brunswick. Board of Education - 1889 - 1004 pages
...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 a circle are equal to one another.... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...no mistake is likely to follow from it. The symbol for circumference is ' Oce. ' PROPOSITION 2. If any two points be taken in the circumference of a,...which joins them shall fall within the circle. Let A and B be two pts. on the Oce of a 0. Their join, AB, shall be within the 0. PB Let C be the centre... | |
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Ir 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, B any two points in the circumference ; the straight line drawn from A to B shall fall within the... 
