Difference between Calcium Hydroxide and Lime Hydrate

CALCIUM HYDROXIDE vs LIME HYDRATE: NOUN

A soft, white powder, Ca(OH)2, obtained by the action of water on calcium oxide; slaked lime.
A soft white alkaline powder, Ca(OH)2, used in making mortar, cements, calcium salts, paints, hard rubber products, and petrochemicals.
A caustic substance produced by heating limestone

Saponin, Calcium sulfate, Hydroperoxide, Allantoin, Oxidizing agent, Potassium hydroxide, Magnesium hydroxide, Calcium oxide, Hydroxide, Calcium hydrate, Caustic lime, Lime hydrate, Lime, Hydrated lime, Slaked lime

Polyvinyl acetate, Calcium sulphate, Flocculant, Saponin, Calcium sulfate, Hydroperoxide, Allantoin, Oxidizing agent, Potassium hydroxide, Magnesium hydroxide, Calcium oxide, Hydroxide, Lime, Hydrated lime, Slaked lime

No subscript after the Ca indicates there is one calcium atom in a calcium hydroxide molecule.
The citric acid produced is precipitated with calcium hydroxide solution to form calcium citrate.
What I reason: Calcium chloride is the salt of hydrochloric acid and calcium hydroxide.
Calcium hydroxide is treated with hydrochloric acid to produce water and calcium chloride.
When calcium carbide reacts with water it produces calcium hydroxide and acetylene gas.
Depilatories use a chemical called thioglycolate mixed with sodium hydroxide or calcium hydroxide that literally melts hair away.
Because calcium ion dissolves more easily than zinc ions, adding calcium hydroxide forms divalent metal chelate salt containing mainly eugenol calcium.
Nixtamal is similar, but uses calcium hydroxide instead of sodium hydroxide.
Alkali may be sodium hydroxide, potassium hydroxide, calcium hydroxide, or ammonia.
Acceptable inorganic bases include sodium hydroxide, sodium carbonate, potassium hydroxide, aluminum hydroxide and calcium hydroxide.