Geometry by Aiden Zylman
You may be wondering, what makes geometry, well, geometry? Geometry is the branch of mathematics concerned with the shapes of individual objects, spatial relationships between objects, and objects surrounding space. Geometry has gotten its name from Greek, meaning “Earth measurement”. Eventually, geometry was discovered to be unlimited to flat surfaces or rigid objects and could cover most ideas and objects in geometric terms.
There are many branches of geometry. The branches are Euclidian, analytic, non-euclidian, projective, differential, and topology. Euclidean geometry is the branch fitted to the relationships between lengths, volumes, and areas of objects. Analytic geometry is based on rectangular coordinates, now known as Algebraic geometry, the modern expansion of the subject. Projective geometry originated to deal with properties of geometric figures that aren’t altered by projecting their shadow onto another surface or object. Differential geometry introduces the intrinsic properties of surfaces and curves. For instance, the intrinsic curvature of a cylinder is the same as that of a plane, but not a sphere. A sphere cannot be flattened without distortion. Non-Euclidean geometry introduces the idea that alternatives to the parallel postulate were logically impossible and instead discovered non-Euclidian geometries.
The earliest known records of geometry date from Mesopotamia and Egypt from 3100 BCE. These early forms of geometry were used for building, surveying land, and measuring storage. Around the beginning of the 6th century BCE, the Greeks extended their knowledge of geometry and generalized the subject by combining the Greek words geo and metron.
Geometry can be complicated, boring, easy, or hard to understand, it all depends on who you are and your thoughts on the subject. Now that you know the history of geometry, is it fascinating to you?
There are many branches of geometry. The branches are Euclidian, analytic, non-euclidian, projective, differential, and topology. Euclidean geometry is the branch fitted to the relationships between lengths, volumes, and areas of objects. Analytic geometry is based on rectangular coordinates, now known as Algebraic geometry, the modern expansion of the subject. Projective geometry originated to deal with properties of geometric figures that aren’t altered by projecting their shadow onto another surface or object. Differential geometry introduces the intrinsic properties of surfaces and curves. For instance, the intrinsic curvature of a cylinder is the same as that of a plane, but not a sphere. A sphere cannot be flattened without distortion. Non-Euclidean geometry introduces the idea that alternatives to the parallel postulate were logically impossible and instead discovered non-Euclidian geometries.
The earliest known records of geometry date from Mesopotamia and Egypt from 3100 BCE. These early forms of geometry were used for building, surveying land, and measuring storage. Around the beginning of the 6th century BCE, the Greeks extended their knowledge of geometry and generalized the subject by combining the Greek words geo and metron.
Geometry can be complicated, boring, easy, or hard to understand, it all depends on who you are and your thoughts on the subject. Now that you know the history of geometry, is it fascinating to you?