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" If two circles touch each other, the straight line joining their centres passes through the point of contact. "
A Course of Mathematics: In Two Volumes. Composed for the Use of the Royal ... - Side 292
av Charles Hutton - 1843
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Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ...

Charles Reiner - 1837 - 246 sider
...contact besides the point b ; because/^ + kg is greater th&nfff. LESSONS ON FORM, BEING other externally, the straight line joining their centres passes through the point of contact. If two unequal circles neither cut nor intersect each other, they may be so placed that the centre...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 sider
...proposition. 37. Prove the truth of Prop. xiii. Book iii. without a diagram. If two circles touch one another, the straight line joining their centres passes through the point of contact (xi. and xii. iii.); therefore, if the circles could touch one another in more points than one, more...
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856 - 168 sider
...from D to the circle equal to D K. XXXII. If two circles touch each other internally or externally, the straight line joining their centres passes through the point of contact. First, let two circles touch each other internally at the point A (Fig. 24), and let AF be the straight...
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The Elements of Geometry

Webster Wells - 1886 - 392 sider
...AB at its middle point (§ 40) . PROPOSITION XV. THEOREM. 183. Jf two circumferences are tangent to each other, the straight line joining their centres passes through the point of contact. Let 0 and 0' be the centres of two circumferences which are tangent to the straight line AB at A (§...
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Examinations Papers

1888 - 666 sider
...point in a chord of a circle is either on or within the circle. 8. If two circles touch externally, the straight line joining their centres passes through the point of contact. 9. On a given straight line to describe a segment of a circle containing an angle equal to the third...
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Calendar

Bedford College - 1888 - 240 sider
...should it be written in the ordinary decimal scale ? 7. If two circles touch one another, show that the straight line joining their centres passes through the point of contact. If two circles meet at a point which is not on the straight line passing through their centres, show...
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Plane and Solid Geometry

James Howard Gore - 1898 - 232 sider
...perpendicular to AB at its middle point (by 54). QED EXERCISES. 1. If two circumferences are tangent to each other, the straight line joining their centres passes through the point of contact. PROPOSITION VI. THEOREM. 153. If two circumferences intersect each other, the distance between their...
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The Essentials of Geometry

Webster Wells - 1899 - 180 sider
...the sides of a spherical angle ? 43. If two spheres are tangent to the same plane at the same point, the straight line joining their centres passes through the point of contact. 44. The distance between the centres of two spheres whose radii are 26 and 17, respectively, is 28....
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Elementary Plane Geometry: Inductive and Deductive

Alfred Baker - 1903 - 154 sider
...one another,—in this case externally. Evidently, whether circles touch internally or externally, the straight line joining their centres passes through the point of contact. Describe circles of radii 34 and 56 millimetres to touch (1) externally, (2) internally. Construct...
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Science Examination Papers

Great Britain. Education Department. Department of Science and Art - 1908 - 328 sider
...touch each other (a) externally, (6) internally. Two circles touch each other externally; show that the straight line joining their centres passes through the point of contact. Given a triangle ABC, show how to describe circles, with their centres rt A, B, C respectively, such...
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