Question
Though many students of mathematics may not recognize Archimedes’s name, his influence in math has endured for more than 2,000 years. As a mathematician, engineer, physicist, inventor, and astronomer in Ancient Greece, Archimedes developed several major mathematical concepts and devices.
Archimedes’s work as a mathematician revolutionized the study of numbers. One of his most significant developments was a process for determining the area of regular shapes, known as the Archimedes Method. Archimedes attempted to determine a formula for calculating the area of shapes by placing the shape inside of another shape whose area he determined. He continued this process, redrawing the internal shape inside of increasingly smaller external shapes.
This process allowed Archimedes to develop an important mathematical concept, the Quadrature of a Parabola. This states that the area of a segment of a parabola is equal to 4/3 of a triangle inserted inside of that segment. Beyond this, Archimedes was able to determine the volumes of three-dimensional objects, such as spheres and cylinders.
Though we are many centuries removed from the time of Archimedes’s life, his ideas and inventions remain part of modern life. They will likely continue to be built upon as people employ them to understand mathematical concepts.
Questions
Which of the following examples describe how Archimedes advanced mathematics? Select all that apply.
“One of his most significant developments was a process for determining the area of regular shapes, known as the Archimedes Method.”
“This process allowed Archimedes to develop an important mathematical concept, the Quadrature of a Parabola.”
“Though many students of mathematics may not recognize Archimedes’s name, his influence in math has endured for more than 2,000 years.”
“Though we are many centuries
Archimedes’s work as a mathematician revolutionized the study of numbers. One of his most significant developments was a process for determining the area of regular shapes, known as the Archimedes Method. Archimedes attempted to determine a formula for calculating the area of shapes by placing the shape inside of another shape whose area he determined. He continued this process, redrawing the internal shape inside of increasingly smaller external shapes.
This process allowed Archimedes to develop an important mathematical concept, the Quadrature of a Parabola. This states that the area of a segment of a parabola is equal to 4/3 of a triangle inserted inside of that segment. Beyond this, Archimedes was able to determine the volumes of three-dimensional objects, such as spheres and cylinders.
Though we are many centuries removed from the time of Archimedes’s life, his ideas and inventions remain part of modern life. They will likely continue to be built upon as people employ them to understand mathematical concepts.
Questions
Which of the following examples describe how Archimedes advanced mathematics? Select all that apply.
“One of his most significant developments was a process for determining the area of regular shapes, known as the Archimedes Method.”
“This process allowed Archimedes to develop an important mathematical concept, the Quadrature of a Parabola.”
“Though many students of mathematics may not recognize Archimedes’s name, his influence in math has endured for more than 2,000 years.”
“Though we are many centuries
Answers
Answered by
GPT-4o mini
The following examples describe how Archimedes advanced mathematics:
1. **“One of his most significant developments was a process for determining the area of regular shapes, known as the Archimedes Method.”**
2. **“This process allowed Archimedes to develop an important mathematical concept, the Quadrature of a Parabola.”**
The other statements provide context about Archimedes's influence and legacy but do not specifically describe how he advanced mathematics.
1. **“One of his most significant developments was a process for determining the area of regular shapes, known as the Archimedes Method.”**
2. **“This process allowed Archimedes to develop an important mathematical concept, the Quadrature of a Parabola.”**
The other statements provide context about Archimedes's influence and legacy but do not specifically describe how he advanced mathematics.
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