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" ... is less than the sum but greater than the difference of the radii ; (4) is equal to the difference of the radii ; (5) is less than the difference of the radii. "
Exercises in Wentworth's Geometry: With Solutions - Seite 22
von George Albert Wentworth - 1896 - 273 Seiten
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Dictionary of the Mathematical and Physical Sciences, According to the ...

James Mitchell - 1823 - 666 Seiten
...is opposite the greater angle, and the less side opposite the leas angle. 2. Any side of a triangle is less than the sum, but greater than the difference of the other two sides. 3. Tlie sum of the three angles of a triangle is equal to two right angles; and the...
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Young Scientist: A Practical Journal for Amateurs, Band 1

1851 - 716 Seiten
...the shortest distance between two given points. Hence it follows that in a triangle each of the sides is less than the sum, but greater than the difference of the two others. If two triangles have the same base, so that the one lies entirely within the other, the...
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Iconographic Encyclopaedia of Science, Literature, and Art, Band 1

Johann Georg Heck - 1851 - 712 Seiten
...the shortest distance between two given points. Hence it follows that in a triangle each of the sides is less than the sum, but greater than the difference of the two others. If two triangles have the same base, so that the one lies entirely within the other, the...
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Iconographic Encyclopaedia of Science, Literature & Art, Band 1

Johann Georg Heck - 1860 - 332 Seiten
...the shortest distance between two given points, Hence it follows that in a triangle each of the sides is less than the sum, but greater than the difference of the two others. If two triangles have the same base, so that the one lies entirely within the other, the...
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Treatise on Plane and Solid Geometry: For Colleges, Schools and Private ...

Eli Todd Tappan - 1864 - 288 Seiten
...is cut by neither of them. Therefore, the curves have only one common point C. 235. Next, let AB be less than the sum, but greater than the difference, of the radii AC and BD. Then the point C will fall within the circumference DF. For if it fell on or outside of...
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Treatise on Geometry and Trigonometry: For Colleges, Schools and Private ...

Eli Todd Tappan - 1868 - 444 Seiten
...is cut by neither of them. Therefore, the curves have only one common point C. 235. Next, let AB be less than the sum, but greater than the difference, of the radii AC and BD. Then the point C will fall within the circumference DF. For if it fell on or outside of...
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An Elementary Geometry

William Frothingham Bradbury - 1872 - 124 Seiten
...the other opposite directions, are supplements of each other. (12.) (8.) 69. Any side of a triangle is less than the sum, but greater than the difference, of the other two. (Axiom 9.) 701 The sum of the lines drawn from a point within a triangle to the extremities...
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Treatise on Plane and Solid Geometry for Colleges, Schools, and Private Students

Eli Todd Tappan - 1873 - 288 Seiten
...is cut by neither of them. Therefore, the curves have only one common point C. 235. Next, let AB be less than the sum, but greater than the difference, of the radii AC and BD. Then the point C will fall within the circumference DF. For if it fell on or outside of...
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An Elementary Geometry and Trigonometry

William Frothingham Bradbury - 1872 - 262 Seiten
...the other opposite directions, are supplements of each other. (12.) (8.) 69i Any side of a triangle is less than the sum, but greater than the difference, of the other two. (Axiom 9.) 70i The sum of the lines drawn from a point within a triangle to the extremities...
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An Elementary Geometry: Plane, Solid and Spherical

William Frothingham Bradbury - 1880 - 260 Seiten
...the other opposite directions, are supplements of each other. (49 ; 45.) 132. Any side of a triangle is less than the sum, but greater than the difference, of the other two. (29.) 133i The sum of the lines drawn from a point within a triangle to the extremities...
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