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| Who wrote "The Elements"? |
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| What is the 2nd most popular book? |
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| What is the most popular book? |
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| How many postulates did Euclid have? |
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| What was Euclid's profession? |
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| Who founded the located where Euclid worked? |
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| In what city did Euclid work? |
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| What was Eratstathenes estimate of the Circumfrence of the Earth? |
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| What were the people who measured the distance from Syene to Alexandria called? |
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| What was the ~ year Eratstathenes figured out the C of the Earth? |
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| What was the proportion used by Erathathanes to find the C of the Earth? |
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[image]
7.2 500
--- = ---
360 x |
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| Who founded the Pythagorean Theorem? |
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| What is the Pythagorean Theorem? |
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| What was the year of Rene de Cartes? |
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| Where was Rene de Cartes born? |
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| Where did Rene de Cartes go to school? |
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| What did Rene de Cartes name the devil? |
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| Who created the Coordinate Plane and what did he call it? |
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| Rene de Cartes ; Cartesian Plane |
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| Where did Rene de Cartes get the idea for the Coordinate Plane? |
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| From looking at his ceiling. |
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| How/Why did Rene de Cartes die? |
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| Died from Pneumonia ; Woke up too early for work |
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| Who solved the Konigsberg Bridge problem? |
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| Is the Konigsberd Bridge Problem possible? Why? |
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| Not possible ; There is 7 Bridges and 4 land masses |
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| From what was Graph Theory derived? |
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| The Konigsberg Bridge Problem |
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F + V = E + 2
(# of Faces + # of Vertices = # of Edges + 2) |
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| What was Al-Kwarizmi's faulty name translation into latin? |
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| When was Al-Kwarizmi born? |
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| Where was Al-Kwarizmi's home? |
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| Who may have had access to The Elements? |
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| What was the faulty translation into latin for Al-Jabr? |
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| What are the names of the 5 Platonic solids? How many faces do each have? What are their base shapes? |
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| Cross Section: // to base |
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| Cross Section: // to edge |
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| Cross Section: _|_ to base |
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| Cross Section: _|_ to the edge |
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Equivalents to E5.
12 are listed - KNOW 5 |
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Definition
The sum of the angles in every triangle is 180°.
There exists a triangle whose angles add up to 180°.
The sum of the angles is the same for every triangle.
There exists a pair of similar, but not congruent, triangles.
Every triangle can be circumscribed.
If three angles of a quadrilateral are right angles, then the fourth angle is also a right angle.
There exists a quadrilateral of which all angles are right angles.
There exists a pair of straight lines that are at constant distance from each other.
Two lines that are parallel to the same line are also parallel to each other.
Given two parallel lines, any line that intersects one of them also intersects the other.
In a right-angled triangle, the square of the hypotenuse equals the sum of the squares of the other two sides (Pythagoras' Theorem).
There is no upper limit to the area of a triangle. [1] |
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