Hippocrates of Chios is best known for his squaring of the circle and duplicating the cube. ... In trying to square a lune, Hippocrates means to construct a square equal in area to the lune. ... The quadratures of lunes, which were considered to belong to an uncommon class of propositions on account of the close relation of lunes to the circle, were first investigated by Hippocrates, and his exposition was thought to be correct; we will therefore deal with them at length and describe them. ... This he proved by first showing that the squares on the diameter have the same ratio as the circle...

• Word Count: 1099
• Approx Pages: 4
• Has Bibliography

Now there are only three rectilineal figures which would satisfy the condition, I mean regular figures which are equilateral and equiangular, inasmuch as irregular figures would be displeasing to the bees, these being the triangle, the square and the hexagon, the bees in their wisdom chose for their work that which has the most angles, perceiving that it would hold more honey than either of the two others for the same expenditure of material. ... His theorem was that the volume of revolution = area bounded by curve x distance traveled by the center of gravity In Book VIII Pappus deal...

• Word Count: 647
• Approx Pages: 3
• Grade Level: Undergraduate

During these few years, he invented calculus, discovered the inverse square law, and did extensive testing on light and its properties. ... He also discovered the inverse square law which applies to all matter and deals with what precisely is the strength of the attraction between two objects is and how it varies. ...

• Word Count: 955
• Approx Pages: 4
• Grade Level: High School

The learning competencies in Numbers and Number Sense are describes and illustrates well-defined sets, subsets, universal set and the null set; defines and describes the union and intersection of sets and the complement of a set; uses Venn Diagrams to represent sets, subsets and set operations; solves problems involving sets; describes and illustrates the absolute value of a number on a number line as the distance of the number from 0; performs fundamental operations on integers; addition, subtraction, multiplication, division; states and illustrates the different properties of the operations ...

• Word Count: 4402
• Approx Pages: 18
• Has Bibliography
• Grade Level: Undergraduate

HISTORY AND DEVELOPMENT OF CALCULUS Team Number: 6   Name                                                            ID No 1.    DEEPANSHU TIWARI                                 2014A2 PS512H                                                 2. YELLANKI DAKSHAYANI 2014A2PS513H 3. AYUSH UMRAO 2014A2PS515H 4. MANISHA KALLEPALLE 2...

• Word Count: 6149
• Approx Pages: 25
• Grade Level: Undergraduate