| 1883
...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
...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 - 400 sider
...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
...**. 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
...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 - 515 sider
...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... | |
| 1891
...of the barometer in measuring heights and as an index of the IM GEOMETRY. Time, l Ar. 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.... | |
| Frederick Coate Wade - 1895 - 122 sider
...square of the line drawn from the point of bisection to the opposite angle of the triangle. A 6. If **any two points be taken in the circumference of a...line which joins them shall fall within the circle.** How would you answer the assertion that this proposition is self-evident ? Through one of the points... | |
| Michigan. Department of Public Instruction - 1896
...two lines, is a mean proportional between their squares. 9. Give reasons for the following: (a) If **any two points be taken in the circumference of a circle, the straight line which joins them** must fall within the circle. (ft) The angles in the same segment of a circle, are equal to one another.... | |
| 1922
...is desired on this point, it will be found in 'ThU journal. March. 1922. p. 278. Euclid III, 2: "If **any two points be taken in the circumference of a...line which joins them shall fall within the circle."** Professor Miller's criticism is wholly unjustifiable. The concept that a tangent touches a curve at... | |
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