Could anyone check THESE sentences? This (short vowel) = singular These (long vowel) = plural The first sentence is wrong, because we always use 'than' with this kind of comparative construction - never 'from'. The second sentence is better, but it would be preferable to say '..greater than in the previous case.' This is because it's the slope which is greater, not the case. That's the grammar dealt with. As for the choice of vocabulary, I don't know what you are actually describing, but it may be better to say 'the angle of the curve is greater' or 'the slope of the curve is steeper'. I hope that helps.

The slope of this road is sharper than most of the hills in the city.

"The slope of the curve is greater than in the previous case." "The slope of the curve is greater than that of the previous case." (Both are correct).