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" 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. "
SYLLABUS OF PLANE GEOMETRY - Side 34
1876
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - 1822 - 367 sider
...and D, will cut each other in A and IS. PROPOSITION XIII. THEOREM. ''-'• J •If the distance CD, between the centres of two circles is equal to the sum of their radii CA, AD, those two circles will touch each other externally. THEY will evidently have the point A common,...
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - 1828 - 316 sider
...common, the distance between their centres must be less than the sum of their radii. THEOREM. 116. If the distance between the centres of two circles, is equal to the difference of their radii, those two circles will touch each other internally. Let C and D be the centres...
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First lessons in Plane Geometry. Together with an application of them to the ...

Francis Joseph Grund - 1830 - 12 sider
...two circles is equal to the sum of their radii, the two circles touch each other exteriorly. 4. When the distance between the centres of two circles is equal to the difference between their radii, the two circles touch each other interiorly. 15* 174 GEOMETRY. 5. When...
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An Elementary Treatise on Geometry: Simplified for Beginners Not ..., Del 1

Francis Joseph Grund - 1834 - 190 sider
...centres of two circles is less than the sum of their radii, the two circles cut each other. 3. When the distance between the centres of two circles is equal to the sum of their radii, the two circles touch each other exteriorly. 4. When the distance between the centres of two GEOMETRY....
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An Elementary Treatise on Geometry: Simplified for Beginners Not ..., Del 1

Francis Joseph Grund - 1834 - 190 sider
...two circles is equal to the sum of their radii, the two circles touch each other exteriorly. 4. When the distance between the centres of two circles is equal to the difference between their radii, the two circles touch each other interiorly. 5. When two circles are...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1836 - 359 sider
...distance between their centres must be less than the sum of their radii. PROPOSITION XIV. THEOREM. If the distance between the centres of two circles is equal to th.' difference of their radii, the. two circles will touch each othe, internally. Let C and D be the...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1837 - 329 sider
...distance between their centres must be less than the sum of their radii. PROPOSITION XIV. THEOREM. If the distance between the centres of two circles is equal to the difference of their radii, the two circles icill touch each other internally. Let C and D be the centres...
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Arithmetical Spyglass and Teacher's Assistant: Intended as a Key and ...

Charles Waterhouse - 1842 - 166 sider
...circumference of only one circle may be made to pass through the same points. 9. If the distance of the centres of two circles is equal to the sum of their radii, these two circles will touch each other externally. 10. If the distance of the centres of two circles...
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Elementary and practical Arithmetic on the inductive system, by analysis and ...

Charles WATERHOUSE - 1844 - 12 sider
...circumference of only one circle may be made to pass through the same points, however. 24. If the distance of the centres of two circles is equal to the sum of their radii, these two circles will touch externally. 25. If the distance of the centres of two circles is equal...
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Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - 1849 - 359 sider
...distance between their centres must be less than the sum of their radii. PROPOSITION XIV. THEOREM. 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...
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