| THALES | Ancient Greek mathematician - or a French aerospace company (6) |
| SUMMINGUP | Calculated work for a mathematician -- or a judge (7-2) |
| EUCLID | Ancient Greek mathematician noted for his treatise on geometry, the Elements (6) |
| FRAISE | 16th-century neck ruff; one of the spellings of a type of bacon pancake; or, a French word for a strawberry (6) |
| SPACEX | Musk's private aerospace company that secures a dominant stake in the market and is a cornerstone of his financial empire with a valuation of $350 billion as of December 2024, playing a critical role |
| MILLET | Nutritious quinoa-like grain traditionally used for bird feed; or, a French artist noted for his depictions of peasant farmers such as The Gleaners (6) |
| BOEING | US aerospace company that manufactures and sell airplanes (6) |
| ORIGIN | What is the name of Jeff Bezos's aerospace company? (4,6) |
| ARCHIMEDES | Ancient Greek mathematician noted for inventing a device to raise water (10) |
| EUCLIDEAN | Relating to an ancient Greek mathematician |
| COTERIE | A clan of prairie dogs; or, a French word, originally for a number of peasants holding land jointly from a lord, that has come to mean an exclusive circle or clique (7) |
| AMANDINE | A protein found in bitter or sweet oval kernels used to make amaretti; a candle, cosmetic cream, garnish or Romanian chocolate cake prepared in some way from said nuts; or, a French "pomme de terre" w |
| PAPPUS | Greek mathematician producing some fine stuff |
| PYTHAGORAS | Ancient Greek mathematician |
| ARCHEMEDES | Ancient Greek mathematician, engineer, astronomer and inventor who lived in the city of Syracuse, on Sicily (10) |
| CHAMBORD | A brand of raspberry- or "framboise"-flavoured liqueur; or, a French commune, home the largest chateau in the Loire Valley (8) |
| BREST | Scent of a Woman director Martin, or a French city |
| HARMONICA | Wind instrument also called a mouth organ or a French harp (9) |
| SHOESTRING | Word that can describe a budget or a French fry |
| UPDO | Hair style such as a bun or a French twist |
