Here are today’s questions. Answers will be published tomorrow. The theme runs from Mon-Thu:

1. The Basic proportionality theorem, that describes the ratios of various line segments that are created if two rays with a common starting point are intercepted by a pair of parallels, is named after which 6th century BCE mathematician from Miletus?
2. Which Greek mathematician based in Alexandria names the formula that gives the area of a triangle in terms of its three side lengths?
3. The Greek mathematician and astronomer Apollonius of Perga names the theorem that relates the length of what to the lengths of a triangle’s sides?
4. The locus corresponding to the locations over time of a point moving away from a fixed point, with a constant speed along a line that rotates with constant angular velocity, is named what, after a 3rd century BCE Greek mathematician?
5. [Theme: 4 of 4] Which novel written by author Anthony Horowitz and published in 2014 takes place in 1891 after the events of Sir Arthur Conan Doyle’s “The Final Problem”?

Here are the answers to 2026: Week 22, Quiz 3:

1. Portugal
2. Mark Carney
3. Guyana
4. Neville Chamberlain
5. Theme – will be revealed on Friday