| CHARLES DAVIS, L.L. D. - 1850
...of their radii CH, HD (Bk. I. Th. x) ; but this would be contrary to the supposition. THEOREM VII. **If the distance between the centres of two circles is equal to the** difference of their radii, the two circles will touch each other internally. Let C and D be the centres... | |
| Charles Davies - 1850 - 216 sider
...of their radii CH, HD (Bk. I. Th. x) ; but this would be contrary to the supposition. THEOREM VII. **If the distance between the centres of two circles is equal to the** difference of their radii, the two circles will touch each other internally. Let C and D be the centres... | |
| A. M. LEGENDRE - 1852
...radii, the two circumfer'*..*ces will be exterior the one to the other. PROPOSITION XIV. THEOEEM. \f **the distance between the centres of two circles is equal to the** difference of their radii, the two circumferences will touch each other internally. f Let 0 and D be... | |
| Charles Davies - 1854 - 432 sider
...their radii, the two circumferences will be exterior the one to the other. PROPOSITION XIV. THEOREM. **If the distance between the centres of two circles is equal to the** difference of their radii, the two circumferences will touch each other internally. Let C and D be... | |
| Adrien Marie Legendre, Charles Davies - 1857 - 432 sider
...this triangle, CAD, also, CD<CA+AD (B. 1., p. 7), CD>DA-AC (B. 1., p. 7, a) PROPOSITION XIII. THEOREM. **If the distance between the centres of two circles is equal to the sum of their radii,** the circumferences will touch each other externally. Let C and D be the centres of two circles at a... | |
| Charles Davies - 1870 - 319 sider
...the point of contact, the radius will be perpen, dicular to the tangent. THEOREM VI. If the dis/ance **between the centres of two circles is equal to the sum of their radii,** the two circles will timch each other externally. Of the Circle. Let C and D be the two centres, and... | |
| Adrien Marie Legendre - 1871 - 187 sider
...hypothesis : hence, they are tangent externally ; which was to be proved. PROPOSITION XIV. THEOREM. ff **the distance between the centres of two circles is equal to the** difference of their radii, one will be tangent to the other internally. m Let C and D be the centres... | |
| Edward Olney - 1872 - 201 sider
...AO' > BO'. To each add OA, »nd OA + AO' (or OO') > OA + BO'. PROPOSITION V. 185. Ttieorem.—When **the distance between the centres of two circles is equal to the sum of their radii,** the circumferences are tangent to each other externally. The point A, where M cuts the line joining... | |
| Edward Olney - 1872 - 239 sider
...AO' > BO'. To each add OA, and OA + AO' (or OO') > OA + BO'. PROPOSITION T. 185. Theorem. — When **the distance between the centres of two circles is equal to the sum of their radii,** the circumferences are tangent to each other externally. 89 N FIG. 146. The point A, where M cuts the... | |
| Charles Davies - 1872 - 455 sider
...hypothesis : hence, they are tangent externally ; which was to be proved. PROPOSITION XIV. THEOREM. **If the distance between the centres of two circles is equal to the** difference of their radii, one will be tangent to the other internally. T.ct C and D be the centres... | |
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