How Long to Read Foundations of Projective Geometry

How Long Does it Take to Read Foundations of Projective Geometry?

It takes the average reader 3 hours and 10 minutes to read Foundations of Projective Geometry by Robin Hartshorne

Assuming a reading speed of 250 words per minute. Learn more

Description

The first geometrical properties of a projective nature were discovered in the third century by Pappus of Alexandria. Filippo Brunelleschi (1404-1472) started investigating the geometry of perspective in 1425. Johannes Kepler (1571-1630) and Gerard Desargues (1591-1661) independently developed the pivotal concept of the "point at infinity." Desargues developed an alternative way of constructing perspective drawings by generalizing the use of vanishing points to include the case when these are infinitely far away. He made Euclidean geometry, where parallel lines are truly parallel, into a special case of an all-encompassing geometric system. Desargues's study on conic sections drew the attention of 16-years old Blaise Pascal and helped him formulate Pascal's theorem. The works of Gaspard Monge at the end of 18th and beginning of 19th century were important for the subsequent development of projective geometry. The work of Desargues was ignored until Michel Chasles chanced upon a handwritten copy in 1845. Meanwhile, Jean-Victor Poncelet had published the foundational treatise on projective geometry in 1822. Poncelet separated the projective properties of objects in individual class and establishing a relationship between metric and projective properties. The non-Euclidean geometries discovered shortly thereafter were eventually demonstrated to have models, such as the Klein model of hyperbolic space, relating to projective geometry.

How long is Foundations of Projective Geometry?

Foundations of Projective Geometry by Robin Hartshorne is 190 pages long, and a total of 47,500 words.

This makes it 64% the length of the average book. It also has 58% more words than the average book.

How Long Does it Take to Read Foundations of Projective Geometry Aloud?

The average oral reading speed is 183 words per minute. This means it takes 4 hours and 19 minutes to read Foundations of Projective Geometry aloud.

What Reading Level is Foundations of Projective Geometry?

Foundations of Projective Geometry is suitable for students ages 10 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Foundations of Projective Geometry?

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