 | William Pease - Geometry - 1843 - 80 pages
...BC. 3. Bisect AB and BC by lines (at right angles to each) cutting each other in the point O. 4 Take 0 as a centre and OA as a radius ; describe a circle, and it shall pass through the given points as required. By this problem the ribs of a balloon may be... | |
 | Edward Olney - Geometry - 1872 - 102 pages
...fixed circumferences, intersecting at A, join their centres O' and O", and bisect O'O" as at O. With O as a centre and O)A as a radius, describe a circle....line passing through A, his solution is complete.] Prob.—If the line AB is divided at c,find the locus of P, so that angle APC = angle BPC. SUG'S.—In... | |
 | Edward Olney - Geometry - 1872 - 562 pages
...indefinite line AM. Take AD = A, and erect BD - B. Join AB, and bisect it by the perpendicular ON. Then with 0 as a centre, and OA as a radius, describe a semi-circumference. This will pass through B. (Why?) Also AD : BD :: BD : CD (= x). (Why?) 4. Draw... | |
 | Edward Olney - Geometry - 1876 - 354 pages
...fixed circumferences, intersecting at A, join their centres O' and O", and bisect O'O" as at O. With O as a centre and OA as a radius, describe a circle....line passing through A, his solution is complete.] 875. Prob.—If the line AB is divided at c,find the locus of p, so that angle APC = angle BPC. SUG'S.—In... | |
 | Webster Wells - Geometry - 1886 - 392 pages
...perpendicular to AB at its middle point (§ 215), and at A erect AF perpendicular to AC, meeting DE at O. With 0 as a centre and OA as a radius, describe the circumference AMBN. Then AMB will be the required segment. For since AC is tangent to the circumference... | |
 | Webster Wells - Geometry - 1898 - 264 pages
...and EG _L to AB and AC, respectively, at their middle points (§ 205). Let DF and EG intersect at 0. With 0 as a centre, and OA as a radius, describe a O. The circumference will pass through A, B, and C. (The proof is left to the pupil; see § 137.) 223.... | |
 | Webster Wells - Geometry, Plane - 1908 - 208 pages
...Given A ABC. Required to circumscribe a O about A ABC. Construction. 1. Draw lines DF and EG J_ AB ; 2. With. 0 as a centre, and OA as a radius, describe a O. 3. The circumference will pass through A, B, and C. (The proof is left to the pupil ; see § 136.)... | |
 | Webster Wells - Geometry - 1908 - 336 pages
...circumscribe a circle about a given triangle. Given A ABC. Required to circumscribe a O about A ABC. 2. With 0 as a centre, and OA as a radius, describe a O. 3. The circumference will pass through A, B, and C. (The proof is left to the pupil ; see § 136.)... | |
 | Webster Wells - Geometry - 1908 - 329 pages
...circumscribe a circle about a given triangle. Given A ABO. Required to circumscribe a O about A ABC. 2. With 0 as a centre, and OA as a radius, describe a O. 3. The circumference will pass through A, B, and 0. (The proof is left to the pupil; see § 136.)... | |
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O'O" as at O. With 0 as a centre and OA as a radius, describe a circle. Then is this circumference the locus required. For, let BC be any secant line passing through A, we may show that P is the middle point of BC- [Having done this, as above, and shown... 