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Page 68

R P We have, then, ^ — — ; from

by adding these equations we find R' = P2 -J- Q'. . i t • • p P1 O F And their

quotient gives — = — = jj-g. Put a for the angle O A F; then, the right angled

triangles ...

R P We have, then, ^ — — ; from

**whence**p R~ P'; in the same manner y R ~ Q' ;by adding these equations we find R' = P2 -J- Q'. . i t • • p P1 O F And their

quotient gives — = — = jj-g. Put a for the angle O A F; then, the right angled

triangles ...

Page 139

Let (2 — r)2, 4and4-|-4r — r2, denote the progression, and it will remain to

convert 4 + 4r — t* into a square; in order to which, assume 2 •+• rs for its root,

and we have 4 -J- 4r — r2 = (2 -f- rs)2 — 4 -f- 4rs + rV, from 4, 4, s g4

— - .

Let (2 — r)2, 4and4-|-4r — r2, denote the progression, and it will remain to

convert 4 + 4r — t* into a square; in order to which, assume 2 •+• rs for its root,

and we have 4 -J- 4r — r2 = (2 -f- rs)2 — 4 -f- 4rs + rV, from 4, 4, s g4

**whence**r = r— - .

Page 174

world has given to the actions of mankind such a character of absurdity?

has proceeded that ready belief, which ha* always been given to the pretended ...

**Whence**has arisen that prevalence of superstition, which in every age of theworld has given to the actions of mankind such a character of absurdity?

**Whence**has proceeded that ready belief, which ha* always been given to the pretended ...

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