#### Study sets matching "term:geometry = euclid"

#### Study sets matching "term:geometry = euclid"

point

line

straight line

surface

that which has no part

breathless length ... --the extremities of a line are points

a line which lies evenly with the points on itself

that which has length and breadth only ... --the extremities of…

point

that which has no part

line

breathless length ... --the extremities of a line are points

Axiom1

Axiom2

Axiom3

Axiom4

Things which are equal to the same thing are equal to one ano…

If Equals are added to equals,the wholes are equal

If equals are subtracted from equals,the remainders are equal

Things which coincide with one another are equal to one another

Axiom1

Things which are equal to the same thing are equal to one ano…

Axiom2

If Equals are added to equals,the wholes are equal

Point

Line

Straight line

Surface

That which has no part. The extremities of a line.

Breadthless length. The extremities of a surface.

A line which lies evenly with the points on itself.

That which has length and breadth only.

Point

That which has no part. The extremities of a line.

Line

Breadthless length. The extremities of a surface.

point

line

straight line

surface

that which has no part

breathless length ... --the extremities of a line are points

a line which lies evenly with the points on itself

that which has length and breadth only ... --the extremities of…

point

that which has no part

line

breathless length ... --the extremities of a line are points

#1: AB and CD are equally distant from…

Point D is center of the circle

Straight line joined from G to F and p…

A line joined from F to G passes throu…

#1: Circle ABCD, AB and CD are equal straight lines... #2: Circl…

Circle ABC with point D inside it, and DA, DB, and DC fall up…

Circles ABC, ADE touching internally at A, and F is the cente…

Circles ABC, ADE touching at A externally, F the center of AB…

#1: AB and CD are equally distant from…

#1: Circle ABCD, AB and CD are equal straight lines... #2: Circl…

Point D is center of the circle

Circle ABC with point D inside it, and DA, DB, and DC fall up…

Postulate1

Postulate2

Postulate3

Postulate4

A straight line may be drawn from any one point to any other…

A terminated line can be produced indefinitely

A circle can be drawn with any centre and any radius

All right angles are equal to one another

Postulate1

A straight line may be drawn from any one point to any other…

Postulate2

A terminated line can be produced indefinitely

Prop 4

Prop 5

Prop 6

Prop 8

SAS

If a triangle is isosceles then the base angles are congruent.

If two angles in a triangle are congruent then the two opposi…

If three corresponding sides of one triangle are congruent to…

Prop 4

SAS

Prop 5

If a triangle is isosceles then the base angles are congruent.

Definition 1

Definition 2

Definition 4

Definition 10

A point is that which has no part.

A line is breadthless length.

A straight line is a line which lies evenly with the points o…

When a straight line set up on a straight line makes the adja…

Definition 1

A point is that which has no part.

Definition 2

A line is breadthless length.

I.1

I.2

I.3

I.4

Construct an equilateral triangle on a given line.

Construct a line equal to a given line at a given point.

Cut a line equal to a given line from a given longer line.

If two triangles have two sets of sides and the angle between…

I.1

Construct an equilateral triangle on a given line.

I.2

Construct a line equal to a given line at a given point.

Midpoint

Slope

Distance

Parallel lines

The middle point of a line segment

Thus describes the direction and steepness of a line.

This describes the length of a segment or how far apart an ob…

Two lines that never meet.

Midpoint

The middle point of a line segment

Slope

Thus describes the direction and steepness of a line.

Geometry

Euclidean Geometry

Undefined terms

Point

word composed of two Greek terms, "geos" meaning earth and "m…

identifies a geometry which Euclid formalized and which was a…

terms in Euclidean geometry which mathematicians consider onl…

one of the undefined terms; it has only position and has no l…

Geometry

word composed of two Greek terms, "geos" meaning earth and "m…

Euclidean Geometry

identifies a geometry which Euclid formalized and which was a…

Geometry

Euclidean Geometry

Undefined terms

Point

word composed of two Greek terms, "geos" meaning earth and "m…

identifies a geometry which Euclid formalized and which was a…

terms in Euclidean geometry which mathematicians consider onl…

one of the undefined terms; it has only position and has no l…

Geometry

word composed of two Greek terms, "geos" meaning earth and "m…

Euclidean Geometry

identifies a geometry which Euclid formalized and which was a…

Book 1

Book 2

Book 3

Book 4

-triangles, parallelograms, parallel lines... -1.47 Pythagorean…

-Divided lines and areas they give rise to... -straight lines di…

-Circles ... -diameter, tangent, angles in circles, segments of…

-Regular polygons and their relationship with circles... -inscri…

Book 1

-triangles, parallelograms, parallel lines... -1.47 Pythagorean…

Book 2

-Divided lines and areas they give rise to... -straight lines di…

point

line

line segment

ray

A location; it has no dimension. Represented by a dot.

A straight path that continues forever in both directions; ha…

Part of a line; has two endpoints.

Part of a line; has one endpoint and the other end goes on fo…

point

A location; it has no dimension. Represented by a dot.

line

A straight path that continues forever in both directions; ha…

Geometry

Euclidean Geometry

Undefined terms

Point

word composed of two Greek terms, "geos" meaning earth and "m…

identifies a geometry which Euclid formalized and which was a…

terms in Euclidean geometry which mathematicians consider onl…

one of the undefined terms; it has only position and has no l…

Geometry

word composed of two Greek terms, "geos" meaning earth and "m…

Euclidean Geometry

identifies a geometry which Euclid formalized and which was a…

D1. Point

D2. Line

D3. Extremities of lines

D4. Straight line

A point is that which has no part.

A line is a breadthless length.

The extremities of a line are points.

A straight line is a line which lies evenly with the points o…

D1. Point

A point is that which has no part.

D2. Line

A line is a breadthless length.

To fit into a given circle a straight…

To inscribe in a given circle a triang…

To circumscribe about a given circle a…

To inscribe a circle in a given triang…

Preposition1

Preposition2

Preposition3

Preposition4

To fit into a given circle a straight…

Preposition1

To inscribe in a given circle a triang…

Preposition2

Geometry

Euclidean Geometry

Undefined terms

Point

word composed of two Greek terms, "geos" meaning earth and "m…

identifies a geometry which Euclid formalized and which was a…

terms in Euclidean geometry which mathematicians consider onl…

one of the undefined terms; it has only position and has no l…

Geometry

word composed of two Greek terms, "geos" meaning earth and "m…

Euclidean Geometry

identifies a geometry which Euclid formalized and which was a…

Geometry

Euclidean Geometry

Undefined terms

Point

word composed of two Greek terms, "geos" meaning earth and "m…

identifies a geometry which Euclid formalized and which was a…

terms in Euclidean geometry which mathematicians consider onl…

one of the undefined terms; it has only position and has no l…

Geometry

word composed of two Greek terms, "geos" meaning earth and "m…

Euclidean Geometry

identifies a geometry which Euclid formalized and which was a…

Geometry

Euclidean Geometry

Undefined terms

Point

word composed of two Greek terms, "geos" meaning earth and "m…

identifies a geometry which Euclid formalized and which was a…

terms in Euclidean geometry which mathematicians consider onl…

one of the undefined terms; it has only position and has no l…

Geometry

word composed of two Greek terms, "geos" meaning earth and "m…

Euclidean Geometry

identifies a geometry which Euclid formalized and which was a…

1. a point

2. a line

3. ends (extremities) of a line

4. a straight line

A point is that which has no parts.

A line is length without width.... [We normally today use the te…

The ends of a line are points.

A straight line is a line that lies symmetrically with the po…

1. a point

A point is that which has no parts.

2. a line

A line is length without width.... [We normally today use the te…