 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 lines which are thus drawn to touch the two given circles can be shewn to...  A course of geometrical drawing - Page 23by William Schofield Binns - 1881Full view - About this book
 | Anna Cabot Lowell - Geometry - 1846 - 206 pages
...point and A or B, will pass through the points A and B. 339. To describe a circle whose circumference shall pass through three given points not in the same straight line, as A, B, and C, (fig. 131.) Sol. Draw the straight lines AB and BC, which will be chords of the required... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...which are thus drawn to touch the two given circles can be shewn to intersect AB at the same point. 5. To describe a circle which shall pass through three • given points not in the same straight line. This is solved in Euclid IV. 5. 6. To describe a circle wJiich shall pass through two given points... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...which are thus drawn to touch the two given circles can be shewn to intersect AB at the same point. 5. To describe a circle which shall pass through three given points not in tlie same straight line. This is solved in Euclid IV. 5. 6. To describe a circle which shall pass through... | |
 | James Maurice Wilson - Geometry - 1868 - 150 pages
...THEOREM 3. One circle, and only one circle, can be drawn to pass through three given points which are not in the same straight line. Let A, B, C be the three given points. Join AB, BC. Then since AB is to be a chord, the locus of the centre is the straight... | |
 | Charles Davies - Geometry - 1870 - 392 pages
...at C, and C will be the centre of the circle. PROBLEM XVI. To describe the circumference of a circle through three given points not in the same straight line. Let A, B, C, be the given points. Join these points by the straight lines AC AB, BC. Then, bisect any two of these straight lines, as AB,... | |
 | Hugo Reid - Mathematics - 1872 - 148 pages
...angles to a chord, it will also bisect the chord. Problem 37. 1 6 1. To describe a circle through any three given points, not in the same straight line. Let A, B, D be the three given points. Join any one to the other two, as B to A and D, forming Fle 4t the straight... | |
 | Thomas Hunter - Geometry, Plane - 1878 - 142 pages
...contrary to the definition of a circle. Hence the arc AD is equal to the arc DB. PKOPOsmoir V.—PROBLEM. To describe a circle which shall pass through three...given points not in the same straight line. Let A, B, and C be three points not in the same straight line; it is required to describe a circle passing through... | |
 | William Henry Harrison Phillips - Geometry - 1878 - 236 pages
...point, D ; and ABDC is the parallelogram required. XXXII. Problem. To describe a circumference that shall pass through three given points not in the same straight line. Problem. To find the centre of a given circumference. Problem, To circumscribe a circle about a given... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...which are thus drawn to touch the two given circles can be shewn to intersect AB at the same point, 5. To describe a circle which shall pass through three given points not in the same straight line. This is solved in Euclid IV. 5. 6. To describe a circle which sfiall pass through two given points... | |
 | Henry Angel - 1880 - 360 pages
...required. Note that the c * triangles GPF and EPH are Fig. 68. PROBLEM LXVII. To describe the arc of a circle which shall pass through three given points not in the same straight line, the centre being inaccessible. (Fig. 69.) Assuming it to be desired to draw through A, B, and C (fig.... | |
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