история 120-140

What did John Stuart Mill describe as "the greatest single step ever made in the exact sciences"?

• The use of spherical coordinates

• The invention of polar coordinates

• The development of the rectangular

• The concept of latitude and longitude

• The introduction of curvilinear coordinates

What is Zeno credited with developing?

• A method of indirect argument, known as dialectic.

• A historical account of their philosophical meetings.

• A formal system of mathematical reasoning.

• A direct method of proving the existence of the Many.

Who developed the idea of combining algebra and geometry using a rectangular coordinate system?

• Rene Descartes

• Marinus of Tyre

• John Stuart Mill

• Hipparchus

• Apollonius of Persia

.What did Euclid define before stating his five axioms?

• The rules of arithmetic operations.

• The concepts of calculus and algebra.

• Point, line, "between", circle, and other related terms.

• The definitions of irrational numbers.

• The principles of statistics and probability.

.Who first used a special coordinate system to study conic sections?

• Rene Descartes

• Hipparchus

• John Stuart Mill

• Apollonius of Perga

• Marinus of Tyre

What is a Pythagorean triple?

• A set of three prime numbers.

• A set of three integers that satisfy a²+b²=c²

• A set of three numbers that multiply to 10

• A set of three even numbers.A set of three numbers that add up to 100.

According to B. L. van der Waerden, what is notable about Euclid's Elements?

• It is rarely referenced in modern mathematics.

• It is less significant than other ancient texts.

• It has exerted a continuous and major influence on human affairs.

• It was not widely published or translated.

• It primarily discusses philosophical concepts rather than mathematical theories.

What was one of Archimedes's significant achievements?

• Creating the first computer algorithms.

• Establishing the principles of calculus.

• Developing methods for calculating areas and volumes of geometric figures.

• Writing the first geometry textbook.

• Inventing the concept of negative numbers.

What was significant about Cardano's book Ars Magna published in 1545?

• It included the first calculations with complex numbers.

• It was the first book to solve cubic equations.

• It contained solutions to quadratic equations.It contained solutions to quadratic equations.

• It criticized the College of Physicians.

• It was Cardano's first medical book.

Who became inspired by the story of Archimedes's demise?

• Marie Curie.

• Florence Nightingale.

• Sophie Germain.

• Hypatia of Alexandria

• Emmy Noether.