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How did Rene descartes come up with coordinate geometry?
René Descartes developed coordinate geometry by combining algebra and Euclidean geometry. He introduced a system of using pairs of numbers to represent points in a plane, which allowed geometric shapes to be expressed as algebraic equations. This innovative approach enabled the translation of geometric problems into algebraic form, facilitating their analysis and solution. His work laid the foundational framework for modern mathematics and the Cartesian coordinate system.
What was one important event that happened to Euclid?
One important event in Euclid's life was the establishment of his school in Alexandria, Egypt, around 300 BCE, where he taught geometry and mathematics. This was significant as it allowed him to compile and organize existing mathematical knowledge, culminating in his famous work, "Elements," which laid the foundation for modern geometry and influenced mathematics for centuries. Although little is known about his personal life, this period marked the peak of his contributions to the field.
How many Suitcases allowed in planes?
2 suitcases are allowed in an airplane
How was geometry discovered?
Geometry probably arose as an extension of individuals thinking about shapes and about the arrangement of objects in space. Early man had to consider things like the distances and areas of land, and the volume of shapes of containers that were used to hold materials. Practical applications of these ideas allowed what we call geometry to "sneak into" the consciousness of man, and later thinkers actually formed a body or work to "collect" them them and give them structure.Euclid, the Greek mathematician and philosopher of note, actually pulled together geometric ideas and set them down in a form that carried forward. Consider that over two thousandyears have elapsed since he penned Elements. This more formal structure is made to look modern when we consider that Stonehenge, a formation of large stones in England, was pulled together over four thousand years ago, and not without the inclusion of geometric ideas.Tracing a path from the "discovery" of geometry to the current state of this branch of mathematics would require an investigator to sit through several college courses and spend thousandsof hours doing research. This fastidious researcher would be delving into many writings from ages gone, and would find documents from many cultures and originating across broad areas of geography. Further, those remnants (like Stonehenge) of times before writing would stand in mute testimony to the fact that geometric principles were understood and applied by early man. And no amount of digging will allow us to see the complete picture of those things. We can only speculate as to the extent of the things people then had in mind and wanted to do in that age.Use the link below, read the whole article (with a clear head) and two things will happen. First, you will appreciate the great span of time over which geometric ideas were diveloped and how difficult it is to pinpoint an "origin" for them. Next to counting and ording using numbers, geometry is probably the oldest mathematical form we used. The second thing is that it's a lead pipe cinch you will come away with more questions than were answered by the article. That's because there are holes in our knowledge of this ancient branch of mathematics. Perhaps you'll chart a path to a deeper understanding of geometry, and you may be able to fill in some of the holes in what we know about geometry.
What types of transformations did mc escherse in his tessellions?
M.C. Escher employed several transformations in his tessellations, including translations, rotations, reflections, and glide reflections. He often used these transformations to create intricate patterns that seamlessly fit together without gaps or overlaps. By manipulating shapes and forms, he achieved a sense of depth and perspective, transforming flat surfaces into visually captivating designs. Escher's unique approach to geometry and symmetry allowed him to explore complex visual relationships within his artwork.
What tools allowed the Greeks to exploit the five basic postulates of Euclidean geometry?
compass and straightedge
What five tools allowed the Greeks to use the five basic postulates of euclidean geometry?
The five tools that enabled the Greeks to utilize the five basic postulates of Euclidean geometry are the straightedge, compass, ruler, protractor, and a set square. The straightedge was used for drawing straight lines, while the compass allowed for the construction of circles and arcs. The ruler helped measure lengths, and the protractor was essential for measuring angles. The set square facilitated the construction of right angles and parallel lines, supporting the geometric principles established by Euclid.
What are a compass and a straight edge?
I'll take Geometry for 800, Alex.And the Answer Is, "These were the only tools allowed by classical geometry in the proof of a theorem".
Why was cartesian coordinate system invented?
It allowed points in space to be described algebraically. This allowed lines and curves to be described using algebra. Bringing together algebra and geometry meant that tools that mathematicians had developed for solving algebraic problems could be applied to problems in geometry and tools from geometry could be applied to algebra.
Which of the following was allowed for slave in the southern colonies?
Negroes.
Where was slavery not allowed in the 1770's?
Slavery was NOT allowed in the following places: Antislaveryworld Noslaveshere Cantkeepslavesia Pizzaland
Which character is not allowed in a long file name?
Following characters are not allowed in the file name (Separated by comma). /, \, ?, %, *, :, |, ", < and >
What of the following allowed more young women to get office jobs?
The typewriter
How do you punctuate the following sentence I do however request that I be allowed to work part time?
I do, however, request that I be allowed to work part-time.
Ask us of the following allowed criminals to be used as slaves?
The Thirteenth Amendment
What happens if you go to a school your not allowed at?
if you go to school you are not allowed at and over the age of 17 most likely you will be arrested then released the following day
Can you get forbidden cards?
Yes, you are allowed to own or get cards listed on the Forbidden List. If you are following the Advanced Format, then you are not allowed to use those cards in a duel.
