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Wiktionary
tomato sauce

n. 1 (context cooking English) A thick sauce made from tomatoes for pasta etc. 2 (context UK Australia New Zealand English) Bottled tomato ketchup, used as a condiment.

WordNet
tomato sauce

n. sauce made with a puree of tomatoes (or strained tomatoes) with savory vegetables and other seasonings; can be used on pasta

Wikipedia
Tomato sauce

Tomato sauce refers to any of a very large number of sauces made primarily from tomatoes, usually to be served as part of a dish (rather than as a condiment). Tomato sauces are common for meat and vegetables, but they are perhaps best known as sauces for pasta dishes.

Tomatoes have a rich flavor, high liquid content, very soft flesh which breaks down easily, and the right composition to thicken into a sauce when they are cooked (without the need of thickeners such as roux). All of these qualities make them ideal for simple and appealing sauces. The simplest tomato sauces consist just of chopped tomato flesh cooked in a little olive oil and simmered until it loses its raw flavor, and seasoned with salt.

Optionally tomato skins may be scalded and peeled according to texture (especially thicker pelati paste varieties) and tomato seeds may be removed to avoid their bitterness.

Water (or another, more flavorful liquid such as stock or wine) is sometimes added to keep it from drying out too much. Onion and garlic are almost always sweated or sautéed at the beginning before the tomato is added. Other seasonings typically include basil, oregano, parsley, and possibly some spicy red pepper or black pepper. Ground or chopped meat is also common. In countries such as Australia, New Zealand, South Africa and the United Kingdom, the term "tomato sauce" is used to describe a condiment type table sauce similar to that known in the United States as " ketchup." In some of these countries, both terms are used for the condiment.

The use of tomato sauce with pasta appears for the first time in the Italian cookbook L'Apicio moderno, by Roman chef Francesco Leonardi, edited in 1790.