| Euclid, John Playfair - 1853 - 317 sider
...right angles, the centre of the circle is in the line which bisects the other. PROP. II. THEOR. If **any two points be taken in the circumference of a circle, the straight line which joins them shall** Jail within the circle. Let ABC be a circle, and A, B any two points in the circumference ; the straight... | |
| Euclid - 1853 - 136 sider
...Theor. attached to 1.29. (0) Preceding leuww, PROPOSITION II. THEOBEM. — If any two points (A and B) **be taken in the circumference of a circle, the straight line which joins them** falls within the circle. DEMONSTRATION. For, if it be possible, let the straight line AEB have a point... | |
| William Somerville Orr - 1854
...this account, self-evident indemonstrable truths. Proposition II. of Book III. — namely, that " If **any two points be taken in the circumference of a...line which joins them shall fall within the circle"** — is a proposition as self-evident, to any one who has a clear conception of a circle, as that which... | |
| John Playfair - 1855 - 318 sider
...right angles, the centre of the circle is in the line which bisects the other. PROP. II. THEOR. If **any two points be taken in the circumference of a...circle, and A, B any two points in the circumference** ; he straight line drawn from A to B shall fall within the circle. Take any point in AB as E ; find... | |
| Great Britain. Committee on Education - 1855
...section. 3. To describe a square that shall be equal to a given rectilineal figure. Section 3. 1. If **any two points be taken in the circumference of a...line which joins them shall fall within the circle.** 2. The diameter is the greatest straight line in a circle ; and of all others that which is nearer... | |
| 1855
...section. 3. To describe a square that shall be equal to a given rectilineal figure. SECT. III. — 1. If **any two points be taken in the circumference of a circle, the straight line which joins them shall** fail within the circle. 3. If from any point without a circle two straight lines be drawn, one of which... | |
| Euclides - 1855
...pass through any three points which aiv not in the same straight line. PROP. II. THEOREM. if any uoo **points be taken in the circumference of a circle, the straight line which joins them** lies within the circle, Let ABС be a circle, and A and B, any two points in the circumference. The... | |
| John Playfair - 1855 - 318 sider
...right angles, the centre of the circle is in the line which bisects the other. PROP. II. THEOR. If **any two points be taken in the circumference of a circle, the straight** ling which joins them shall fall within the circle. Let ABC be a circle, and A, B any two points in... | |
| Cambridge univ, exam. papers - 1856
...line which is made up of the half and the part produced. Prove this proposition algebraically. 6. If **any two points be taken in the circumference of a circle, the** right line which joins them shall fall within the circle. Shew that if in a circle a straight line... | |
| War office - 1858 - 12 sider
...makes only 81. 2s. on the whole. Find the number of gallons, and the price per gallon. Euclid. 1. If **any two points be taken in the circumference of a...line which joins them shall fall within the circle.** 2. If two straight lines cut one another within a circle the rectangle contained by the segments of... | |
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