* Mathematics: The development of algebra. While the roots of algebra can be traced back to ancient civilizations, the Renaissance saw significant advancements in the field. Italian mathematicians like Girolamo Cardano and Niccolò Tartaglia made important contributions to solving cubic and quartic equations, laying the groundwork for modern algebra.

* Architecture: The dome of the Florence Cathedral. Designed by Filippo Brunelleschi in the early 15th century, the dome of the Florence Cathedral was an engineering marvel. It employed innovative techniques like the use of ribs and interlocking bricks, showcasing the Renaissance's emphasis on both beauty and functionality in architecture.

* Astronomy: The heliocentric model of the solar system. Proposed by Nicolaus Copernicus in his book "De Revolutionibus Orbium Coelestium" (On the Revolutions of the Heavenly Spheres), the heliocentric model placed the sun at the center of the solar system, rather than the Earth, as was previously believed. This revolutionary idea challenged the established geocentric model and paved the way for modern astronomy.

* Cartography: The development of accurate maps. The Renaissance saw a renewed interest in exploration and mapmaking. Cartographers like Gerardus Mercator developed new techniques for projecting the curved surface of the Earth onto a flat map, resulting in more accurate representations of the world. Mercator's projection is still used today for navigational purposes.