| Adrien Marie Legendre - 1874 - 455 sider
...and greater than their difference (BI, P. VJUL.) ; which was to be proved. PROPOSITION Xm. THEOREM. **If the distance between the centres of two circles is equal to the sum of their radii,** they win be tangent externally. Let C and D be the centres of two circles, and let the distance between... | |
| James Maurice Wilson - 1878
...will meet in tsvo points. Def, 15. In this case the circles are said to cut one another. OBS. (4). **If the distance between the centres of two circles is equal to the** difference of their radii, their circumferences will meet in one point only, and one circle will lie... | |
| Mathematical association - 1883
...circumferences will meet in two points. DEF. 15. In this case the circles are said to cut one another, OBS. (4). **If the distance between the centres of two circles is equal to the** difference of their radii, their circumferences will meet in one point only, and one circle wifl lie... | |
| Euclid - 1892 - 518 sider
...than the whole ; which is impossible. .'. FG, when produced, must pass through A. QED EXERcfTsES. 1. **If the distance between the centres of two circles is equal to the** difference of their radii, then the circles must meet in one point, but in no other; that is, they... | |
| Andrew Wheeler Phillips, Irving Fisher - 1896 - 540 sider
...two circles cut each other at right angles they are said to cut orthogonally. l!t. If the square of **the distance between the centres of two circles is equal to the sum of** the squares of their radii, the circles cut each other orthogonally and conversely. 20. If a circle... | |
| 1896
...the straight line which joins their centres, being produced, shall pass through the point of contact. **If the distance between the centres of two circles is equal to the** difference of their radii, then the circles must meet in one point, but in no other. 2. Inscribe a... | |
| Andrew Wheeler Phillips, Irving Fisher - 1896 - 540 sider
...two circles cut each other at right angles they are said to cut orthogonally. 19. If the square of **the distance between the centres of two circles is equal to the sum of** the squares of their radii, the circles cut each other orthogonally and conversely. 20. If a circle... | |
| Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 304 sider
...2. Find the locus of the centres of all circles of given radius, which touch a given circle. \f 3. **If the distance between the centres of two circles is equal to 'the sum of their radii,** then the circles meet in one point, but in no other ; that is, they touch one another. \/ 4. If two... | |
| Thomas Franklin Holgate - 1901 - 440 sider
...two circles is equal to the sum of their radii, the two circles must touch each other externally. 3. **If the distance between the centres of two circles is equal to the** difference of their radii, the two circles must touch each other internally. PROPOSITION XIX 209. To... | |
| Euclid - 1904 - 456 sider
...point. 2. Find the locus of the centres of all circles of given radius, which touch a given circle. 3. **If the distance between the centres of two circles is equal to the sum of their radii,** then the circles meet in one point, but in no other ; that is, they touch one another. 184 PROPOSITION... | |
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