| William Somerville Orr - Science - 1854 - 534 pages
...this account, self-evident indemonstrable truths. Proposition II. of Book III. — namely, that " If any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle" — is a proposition as self-evident,... | |
| Great Britain. Committee on Education - School buildings - 1855 - 976 pages
...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 circle, the straight line which joins them shall fall within the circle. 2. The diameter is the greatest straight... | |
| 1855 - 264 pages
...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... | |
| Cambridge univ, exam. papers - 1856 - 252 pages
...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 bisects another at right angles... | |
| War office - 1858 - 578 pages
...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 circle the straight line which joins them shall fall within the circle. 2. If two straight lines cut one another... | |
| Robert Potts - Geometry, Plane - 1860 - 380 pages
...angles, the center of the circle is in the line which bisects the other. PROPOSITION II. 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 A BC be a circle, and A, B any two... | |
| Euclides - 1861 - 464 pages
...possessing the circular form will have its centre found in the saтe way. PROP. 2. — ТНEOK. If any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle. CON. 1, Ш. Pst. l & 2. DEM. Def. 15,... | |
| Benjamin Greenleaf - Geometry - 1862 - 518 pages
...of proportional magnitudes, the quotients of the corresponding terms will be proportionals. 14. If any two points be taken in the circumference of a circle, the straight line joining them will lie wholly within the circle. 15. The diameter is the longest straight... | |
| Benjamin Greenleaf - Geometry - 1861 - 638 pages
...of proportional magnitudes, the quotients of the corresponding terms will be proportionals. 14. If any two points be taken in the circumference of a circle, the straight line joining them will lie wholly within the circle. 15. The diameter is the longest straight... | |
| Euclides - 1862 - 140 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 shall fall within the circle. (References— Prop. I. 5, 16, 19; III.... | |
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