A Treatise On the Geometrical Representation of the Square Roots of Negative Qua

John Warren

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'. [cy is inclined to unity at an angle = m . (^ + B); . -. In this case (aV" > (bV*' = /cV".
(92. ) If fi. H — c, and a be inclined to unitj/ at an angle = A, and b at an angle = B, A and B being positive and less than 36o" ; 47 (ay . Fb\"' = (^cy, if A + B be less than sGo^, = C c ]"", greater, Vp + q+l/ where m ma^ be either whole or fractional, positive or negative.
^«^er= {?)"■• (ir =(«)"'• (in er= i^r-iT-' •••er-er=(?r-(r-(})-^' = (cr . ( 1 Y'^ if ^ 4- J5 be less than 36o°, ^ [by Art. 91.... = (cy\ /i\»». P+lj greater J = ( c Y\ if A -^B he less than 36o\ = ( c Yy greater (93. ) If T- = c, and a be inclined to unity at an angle = A, and h at an angle = B ; A and B being positive and less than 3 Go" ; 4« (a)" :.
A±(_^ = fc\*", if A be greater than B ' : > e. )" w;Aere m mai/ be either whole or fractional, positive or negative.
For since 7 = c, b, c = a, . *. (hYJcV' is equal in length to (ay, •' (ay . *• yr^, is equal in length to ley or ley; Now lay is inclined to unity at an angle = mA, Iby, = mB, lay .

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