chore: correcting few mistakes in documentation (#240)

* typo fix * typo fix * typo fix
privacy-scaling-explorations · Dec 20, 2023 · 20c1290 · 20c1290
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diff --git a/book/src/background/curves.md b/book/src/background/curves.md
@@ -105,7 +105,7 @@ $$
 
 Our original curve is just this curve at the restriction $Z = 1$. If we allow the affine
 point $(x, y)$ to be represented by $X = xZ$, $Y = yZ$ and $Z \neq 0$ then we have the
-[homogenous projective curve](https://en.wikipedia.org/wiki/Homogeneous_coordinates)
+[homogeneous projective curve](https://en.wikipedia.org/wiki/Homogeneous_coordinates)
 
 $$
 Y^2 Z = X^3 + Z^3 b.
@@ -185,7 +185,7 @@ Important notes:
   $(x, y) = (xZ^2, yZ^3, Z)$ where the curve is rescaled by $Z^6$ instead of $Z^3$, and
   this representation has even more efficient arithmetic but no unified/complete formulae.
 * We can easily compare two curve points $(X_1, Y_1, Z_1)$ and $(X_2, Y_2, Z_2)$ for
-  equality in the homogenous projective coordinate space by "homogenizing" their
+  equality in the homogeneous projective coordinate space by "homogenizing" their
   Z-coordinates; the checks become $X_1 Z_2 = X_2 Z_1$ and $Y_1 Z_2 = Y_2 Z_1$.
 
 ## Curve endomorphisms

diff --git a/book/src/user/experimental-features.md b/book/src/user/experimental-features.md
@@ -55,7 +55,7 @@ It allows us to allocate advice column in different interactive phases with extr
 
 ### Unblinded advice column
 
-[`ConstraintSystem::unblinded_advice_column`](https://privacy-scaling-explorations.github.io/halo2/halo2_proofs/plonk/struct.ConstraintSystem.html#method.unblinded_advice_column) is added for use cases that want to re-use advice column commitment among different proofs. For example in `halo2_proofs/examples/vector-ops-unblinded.rs` it shows with this API and same assignment, two advice commitment frmo different proof can be same.
+[`ConstraintSystem::unblinded_advice_column`](https://privacy-scaling-explorations.github.io/halo2/halo2_proofs/plonk/struct.ConstraintSystem.html#method.unblinded_advice_column) is added for use cases that want to reuse advice column commitment among different proofs. For example in `halo2_proofs/examples/vector-ops-unblinded.rs` it shows with this API and same assignment, two advice commitment from different proof can be same.
 
 Worth mentioning, re-using advice column commitment in different proofs will need more blinding factors than the amount that prover adds, otherwise some information will be leaked and it's no longer perfect zero-knowledge.