. Elements of geometry : containing books I to III. Take 0 the centre of 0 ABCThen P, the centre ol • ABE, lies in OA, HI. 11. T;ik«- ;iiy pt. E in the ceofthe • ADE, andjvis •.•from 0, a |>t. within or without the ? ADS, twolines OA, OE ure diuwn to the o^s of which .I pihi atre /, .-. .! is greater than OE, i 11. 8, (tor and .. /. is a poinl within the • .1 B(. I Similarly it run? he shewn thai every pt, of the Qce °f tne• I DE, • ii epl . I; 1 ea loitAtii the • ABC; . .1 fa the only point al w hich the • b i • - k III ] //.()/\ )$/ 77 OX XIII. .39 Next. \k the • s A B(. A 1>E
. Elements of geometry : containing books I to III. Take 0 the centre of 0 ABCThen P, the centre ol • ABE, lies in OA, HI. 11. T;ik«- ;iiy pt. E in the ceofthe • ADE, andjvis •.•from 0, a |>t. within or without the ? ADS, twolines OA, OE ure diuwn to the o^s of which .I pihi atre /, .-. .! is greater than OE, i 11. 8, (tor and .. /. is a poinl within the • .1 B(. I Similarly it run? he shewn thai every pt, of the Qce °f tne• I DE, • ii epl . I; 1 ea loitAtii the • ABC; . .1 fa the only point al w hich the • b i • - k III ] //.()/\ )$/ 77 OX XIII. .39 Next. \k the • s A B(. A 1>E touch exti rtudly at the pt. there can be no other point of Take 0 the centre of the 0 P, the centre of the © ADE, lies in 0A produced. III. any pt. D in the Qce of the © ADE, and join v from 0, a pt. without the © ADE, two lines OA,OD are drawn to the Oce> of which OA when produced passesthrough the centre P, .- OD is greater than OA ; III. 8. .. D is a point without the 0 A BO. P> centre;and conversely, those which are equally distant frof the centre,ar>x equal to one anotlu r.
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