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" A, with a radius equal to the sum of the radii of the given circles, describe a circle. "
An Elementary Treatise on Geometry: Simplified for Beginners Not Versed in ... - Page 154
by Francis Joseph Grund - 1834 - 190 pages
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First lessons in Plane Geometry. Together with an application of them to the ...

Francis Joseph Grund - Geometry, Plane - 1830 - 274 pages
...being perpendicular to both the radii AC, BD, is a tangent common to the two given circles. GEOMETRV If it be required to draw a tangent common to two...that circle. 3. Join BE, cutting the given circle in D. 197 4. Draw AC parallel to BE. ••• •*•" 5. Through C and D, draw a straight line, and...
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An Elementary Treatise on Astronomy: In Four Parts. Containing a Systematic ...

William Augustus Norton - Astronomy - 1839 - 530 pages
...the moon's centre at the beginning and end of the eclipse, determined by describing a circle around C as a centre, with a radius equal to the sum of the apparent semidiameters of the sun and moon ; and M (the foot of the perpendicular let fall from C upon...
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Orr's Circle of the Sciences: Practical astronomy, navigation, nautical ...

William Somerville Orr - Science - 1856 - 622 pages
...earth. The point N is the position of the moon at the moment of opposition, or at Ih. 4m. 20s.-9 morn. With a radius equal to the sum of the radii of the shadow and of the moon, or, 3325"'7 describe a circle with the centre 0. The circumference will cut...
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A Cyclopędia of the Physical Sciences: Comprising Acoustics, Astronomy ...

John Pringle Nichol - Physics - 1860 - 942 pages
...the 14th Nov., at Ih. 4m. 20s'9 in the morning. — Describe a circumference from о at centre, and with a radius equal to the sum of the radii of the moon and of the umbra, that b equal to 3325"-7 ; this circumference will cut я в', the relative orbit...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...without the other we can obtain two other solutions. For, describe a circle with A as a centre and radius equal to the sum of the radii of the given circles ; and continue as before, except that BE and AD will now be on opposite sides of AB. The two straight...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...without the other we can obtain two other solutions. For, describe a circle with A as a centre and radius equal to the sum of the radii of the given circles ; and continue as before, except that BE and AD will now be on opposite sides of AB. The two straight...
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An Elementary Course of Plane Geometry

Richard Wormell - Geometry, Modern - 1868 - 286 pages
...to make the same series of constructions, only the circumference from the centre I must be described with a radius equal to the sum of the radii of the two circles (fig. 196). Fig- 195Fig. 197. The same problem may be solved, basing our work upon the...
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An Elementary Course of Plane Geometry

Richard Wormell - Geometry, Plane - 1870 - 304 pages
...to make the same series of constructions, only the circumference from the centre I must be described with a radius equal to the sum of the radii of the two circles (fig. 196). Fig. 195. Fig. 197. The same problem may be solved, basing our work upon the...
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Key to Bradbury's Elementary Geometry and Trigonometry

William Frothingham Bradbury - Geometry - 1872 - 88 pages
...Impossible if the radius is given < £ the distance A to B D. 3d. With the centre С of the given circle, with a radius equal to the sum of the radii of the given and the required circle, describe an arc BED ; -with the given point A as a centre, and a radius equal...
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Elements of Geometry: And the First Principles of Modern Geometry

William Henry Harrison Phillips - Geometry - 1878 - 236 pages
...be the common tangent required. 2d, To draw an interior common tangent. SOLUTION. From the centre C, with a radius equal to the sum of the radii of the given circles, describe the circumference DD'. From C' draw the tangent C'D. Draw CD and C'B 1 1 CD. ABC'D is a rectangle,...
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