| Wooster Woodruff Beman - Geometry - 1880 - 132 pages
...centre, with a radius equal to the sum of the desired radius and the radius of O, strike an arc ; from O' as a centre, with a radius equal to the sum of the desired radius and the radius of O', strike an arc intersecting the former arc in two points. These... | |
| Isaac Todhunter - Euclid's Elements - 1880 - 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... | |
| Frederick Edward Hulme - Geometrical drawing - 1882 - 170 pages
...to the radius of the second circle, and cut it by an arc drawn from the centre of the first circle with a radius equal to the sum of the radii of the two circles. Proceed in like manner for the third and fourth circles. 82. Draw a circle with a radius... | |
| Euclides - 1885 - 322 pages
...tangent to both circles. Again, let A and B be the centres of the given circles. With centre A, and radius equal to the sum of the radii of the given circles, describe a circle. The rest of the construction and the proof are as above, with this exception, that the two... | |
| Euclid - Geometry - 1892 - 460 pages
...external to one another and do not intersect, two more common tangents may be drawn. For, from centre A, with a radius equal to the sum of the radii of the given circles, describe a circle. From B draw a tangent to this circle ; and proceed as before, but draw BE in the direction... | |
| George Cunningham Edwards - Geometry - 1895 - 328 pages
...circle would be the sum of the radii of the given circles. Construction. — With C as a centre and a radius equal to the sum of the radii of the given circles, construct a circle. Through C ' draw a tangent C'Q to the auxiliary circumference (Gen'l Ex. 1, Chap.... | |
| Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...CASE I. To draw an interior common tangent. Construction. With A, the centre of one O, as a centre and with a radius equal to the sum of the radii of the two ©, describe a circumference. From B, the centre of the other O, draw BC tangent to this third... | |
| Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...external to one another and do not intersect, two more common tangents may be drawn. For, from centre A, with a radius equal to the sum of the radii of the given circles, describe a circle. From B draw a tangent to this circle ; and proceed as before, but draw BE in the direction... | |
| Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...to both circles. EXERCISES 2. Show that by drawing a circle Ct with centre Oi instead of O, and with radius equal to the sum of the radii of the given circles, and also by drawing the parallel radii on opposite sides of the line of centres, two other common tangents... | |
| Euclid - Euclid's Elements - 1904 - 488 pages
...external to one another and do not intersect, two more common tangents may be drawn. For, from centre A, with a radius equal to the sum of the radii of the given circles, describe a circle. From B draw a tangent to this circle ; and proceed as before, but draw BE in the direction... | |
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