 | Charles Davies - Geometrical drawing - 1840 - 262 pages
...point without the given circle BED. Join the centre C and the given point A, and bisect the line CA at O. With O as a centre, and OA as a radius, describe the circumference ABCD. Through B and D draw the lines AB and AD, and they will be tangent to the circle... | |
 | Charles Davies - Geometrical drawing - 1846 - 254 pages
...point without the given circle BED. Join the centre C and the given point A, and bisect the line CA at O. With O as a centre, and OA as a radius, describe the circumference ABCD. Through B and D draw the lines AB and AD, and they will be tangent to the circle... | |
 | W. PEASE - 1846 - 86 pages
...BC. 3. Bisect AB and BC by lines (at right angles to each) cutting each other in the point O. 4. Take O 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 - 96 pages
...fixed circumferences, intersecting at A, join their centres 0' and 0", and bisect O'O" as at O. With 0 as a centre and OA as a radius, describe a circle....line passing through A, his solution is complete.] SYS. Prob. — If the line AB is divided at c,find the locus of P, so that angle APC == angle BPC.... | |
 | Edward Olney - Geometry - 1872 - 562 pages
...be the two fixed circumferences, intersecting at A, join their centres 0' and O", and bisect O'O" RS at O. With O as a centre and OA as a radius, describe a cirelf. Then is this circumference the locus required. For, let BC be any secant line passing through... | |
 | Edward Olney - Geometry - 1872 - 472 pages
...indefinite line AM. Take AD = A, and erect BD = B. Join AB, and bisect it by the perpendicular ON. Then with O as a centre, and OA as a radius, describe a semi.circumference. This will pass through B. (Why?) MC Also AD : BD :: BD : CD (= *). (Why?) 4. Draw... | |
 | Edward Olney - 1872 - 270 pages
...indefinite line AM. Take AD = A, and erect BD = B. Join AB, and bisect it by the perpendicular ON. Then with O as a centre, and OA as a radius, describe a semi-circumference. This will pass through B. (Why?) MC Also AD : BD :: BD : CD (= x). (Why?) Fio.&4?.... | |
 | Edward Olney - Geometry - 1876 - 354 pages
...which bisect the chords AP, AB, and AC. For, since these perpendiculars are parallel, and O'O = OO", D'D = DD" ; whence D'P = AD", and, adding AP to each,...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... | |
 | Edward Olney - Geometry - 1879 - 502 pages
...follows: Letting M and N be the two fixed circumferences, intersecting at A, join their centres O' and 0", and bisect O'O" as at O. With O as a centre and OA...line passing through A, his solution is complete.] 873. Prob. — If the line AB is divided at c,find tlie locus of p. so that angle APC = angle BPC.... | |
 | Samuel Edward Warren - Geometrical drawing - 1887 - 200 pages
...sides, AO and BO, will meet at O, the centre of the pentagon and of the circle containing it. Then, with O as a centre, and OA as a radius, describe a circle, on which AB can be laid off as a \c chord four times more, giving the pentagon ABODE. Second Me/hod... | |
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O'O" as at O. With O 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... 
