| Robert Simson - Trigonometry - 1806 - 546 pages
...circle cannot cut another in more than two points. QED PROP. XI. THEOR. IF two circles touch each other **internally, the straight line which joins their centres...produced shall pass through the point of contact.** Let the two circles ABC, ADE touch each other internally in the point A, and let F be the centre of... | |
| John Mason Good - 1813 - 714 pages
...circle cannot cut another in more than two points. Prop. XI. Theor. If two circles touch each other **internally, the straight line which joins their centres...produced shall pass through the point of contact.** Prop. XII. Theor. If two circles touch each other externally, the straight line which joins their centres... | |
| Euclides - 1816 - 588 pages
...circle cannot cut another in more than two points. QED PROP. XI. THEOR. IF two circles touch each other **internally, the straight line which joins their centres...produced shall pass through the point of contact.** Let the two circles ABC, ADE touch each other internally in the point A, and let F be the centre of... | |
| Robert Simson - Trigonometry - 1827 - 546 pages
...circle cannot cut another in more than two points. QED PROP. XL THEOR. If two circles touch each other **internally, the straight line which joins their centres...produced shall pass through the point of contact.** Let the two circles ABC, ADE touch each other internally in the point A; and let F be the centre of... | |
| Andrew Bell - Euclid's Elements - 1837 - 290 pages
...one another, which is impossible (III. 5). PROPOSITION XI. THEOREM. If two circles touch each other **internally, the straight line which joins their centres...produced, shall pass through the point of contact.** Let the two circles ABC, ADE, touch each other internally in the point A, and let F be the centre of... | |
| Euclides - Euclid's Elements - 1837 - 112 pages
...supposition is false. PROPOSITION XI. (Argument ad absurdum). Theorem. If two circles touch each other **internally, the straight line which joins their centres,...produced, shall pass through the point of contact.** Steps of the Demonstration. Suppose that the line which joins the centres does not pass through the... | |
| Euclides - 1838 - 264 pages
...circumference of a circle cannot cut another in more than two points. QED PROP. XI. THEOR. If one circle touch **another internally, the straight line which joins...centres being produced shall pass through the point** uf contact. Let the circle ADE touch the circle ABC internally both preserved in several modern editions,... | |
| Euclid - Geometry - 1838 - 470 pages
...circle cannot cut another in more than two points. QED PROP. £L THEOR. IF two circles touch each other **internally the straight line which joins their centres being produced shall pass through** thfe point of contact. Let the two circles ABC, ADE touch each other internally in the point A, and... | |
| Euclides - 1842 - 316 pages
...circle cannot cut another in more than two points. QED PROP. XI. THEOR. IF two circles touch each other **internally, the straight line which joins their centres...produced shall pass through the point of contact.** Let the two circles ABC, ADE touch each other internally in the point A, and let F be the centre of... | |
| Euclid, James Thomson - Geometry - 1845 - 382 pages
...must be the centre. t Dr. Slmson's enunciation is as follows :— " If two circles touch each other **internally, the straight line which joins their centres,...produced, shall pass through the point of contact."** This is liable to two objections. The circles do not "touch each other internally," the interior one... | |
| |