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Study sets matching "term:geometry = euclid"

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Study sets matching "term:geometry = euclid"

29 terms
EUCLIDS GEOMETRY
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
8 terms
Geometry: Euclid's Definitions
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.
29 terms
Geometry: Euclid Book 1
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
9 terms
Geometry Euclid Quiz Study
#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…
12 terms
Geometry Euclid Props 4-22
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.
10 terms
The Deductive Method in Euclid's Geometry
first postulate
second postulate
third postulate
fourth postulate
To draw a straight line from any point to any point.
To produce a finite straight line continuously in a straight…
To describe a circle with any center and distance.
That all right angles are equal to one another.
first postulate
To draw a straight line from any point to any point.
second postulate
To produce a finite straight line continuously in a straight…
25 terms
GEOMETRY - Chapter 1: Euclid's Elements
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.
Euclid Geometry Ennunciations Book 1 (I.1-I.41)
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.
13 terms
Euclid
Euclid
Mathematics
Geo-
-metry
"The laws of nature are but the mathematical thoughts of god.…
Underpins all of the laws of nature.
Earth
Measure
Euclid
"The laws of nature are but the mathematical thoughts of god.…
Mathematics
Underpins all of the laws of nature.
31 terms
Geometry
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…
8 terms
Euclid
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.
31 terms
Geometry
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…
60 terms
Geometry Final Review
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…
31 terms
Geometry Unit 1
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…
33 terms
Definitions, Postulates, and Common Notions by Euclid
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…
13 terms
Euclid's Elements
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…
31 terms
Geometry
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…
31 terms
Geometry
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…
31 terms
Geometry
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…
31 terms
Geometry
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…
47 terms
Unit 2 - Coordinate Geometry and Transformations
Composition of Transformations
Congruent segments
Degree of Rotation
Dilation
combination of two or more transformations
line segments whose lengths are equal
number of degrees a figure is rotated about the point (center…
a similarity transformation in which a figure is enlarged or…
Composition of Transformations
combination of two or more transformations
Congruent segments
line segments whose lengths are equal
31 terms
Geometry
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…
26 terms
Geometry
father of Geometry
segment addition postulate
Postulate 1:1
Point
Euclid
If A, B, C, are collinear and B is between A and C, then AB+…
through any 2 points there is exactly one line
A location in the coordinate plane. Symbol- A
father of Geometry
Euclid
segment addition postulate
If A, B, C, are collinear and B is between A and C, then AB+…
8 terms
Geometry quotes
"The Knowledge of which geometry aims…
"There is no royal road to geometry"
"... being perpetually charmed by his…
"Which was to be proved."
Plato, The Republic
Euclid
Plutarch, The life of Archimedes
Euclid, The elements
"The Knowledge of which geometry aims…
Plato, The Republic
"There is no royal road to geometry"
Euclid
48 terms
Guebert - Geometry Honors Chapter 1a
Undefined Terms
Angle
Acute Angle
Euclid
point, line, plane
the union of two rays with a common endpoint
An angle whose measure is less than 90º
The father of Geometry, wrote "The Elements"
Undefined Terms
point, line, plane
Angle
the union of two rays with a common endpoint
33 terms
Euclid's Book 1 Definitions, Postulates, and Common Notions
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.
36 terms
Ch 3.1-4.2 Review
Ways to prove lines parallel (7 of them)
corresponding angles
Alternative Interior angles
Alternative Exterior Angles
converse corresponding angle post... converse alt interior angle…
1 & 5,... 3 & 7,... 2 & 6, ... 4 & 8
3 & 6... 4 & 5
1 & 8... 2 & 7
Ways to prove lines parallel (7 of them)
converse corresponding angle post... converse alt interior angle…
corresponding angles
1 & 5,... 3 & 7,... 2 & 6, ... 4 & 8
53 terms
Geometry
Who is the "father of geometry"
What did Euclid write?
Point
Line
Euclid of Alexandria
The Elements
Indication of an exact location. A point has location and not…
A straight, unbroken set of points that goes on forever. It h…
Who is the "father of geometry"
Euclid of Alexandria
What did Euclid write?
The Elements
18 terms
Geometry Final Exam Review - Basics
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…
13 terms
middle school geometry vocabulary
Euclid
point
line
line segment
Greek mathematician who organized known geometry in the 4th c…
shown by a dot, it is a location in space
extends infinitely
part of a line with a beginning and ending point
Euclid
Greek mathematician who organized known geometry in the 4th c…
point
shown by a dot, it is a location in space
Euclid Book 1 Enunciations, Part I
Proposition 1
Proposition 2
Propostion 3
Proposition 4
On a given finite line to construct an equilateral triangle
To place a given point as an extremity a strsight line equal…
Given 2 unequal straight lines, to cut off from the greater a…
If 2 triangles have 2 sides equal to 2 sides amd have angles…
Proposition 1
On a given finite line to construct an equilateral triangle
Proposition 2
To place a given point as an extremity a strsight line equal…
25 terms
Jacob's Geometry 3rd edition ch 1 sections 1-5
line segment
collinear
noncollinear
concurrent
a part of a line bounded by 2 endpoints
points that are on the same line
points that are not on the same line
lines that contain the same point
line segment
a part of a line bounded by 2 endpoints
collinear
points that are on the same line
8 terms
Geometry Test 2
Definition
Postulate
Theorem
Deductive Reasoning
The meaning of something
A statement that is assumed proven.
A statement that has proof to back it up.
Proven statements based of other proven statements.
Definition
The meaning of something
Postulate
A statement that is assumed proven.
9 terms
Geometry vocab
Perpendicular
Hypotenuse
Euclid
Vertical
intersects at right angles
The long side of right angles
Father of plane geometry
Columns in the caf
Perpendicular
intersects at right angles
Hypotenuse
The long side of right angles
Euclid Book 1: Definitions, Postulates, & Common Notions
Defintion 1- Point
Defintion 2- Line
Definition 3- Points
Definition 4- Straight Line
Has no part
Has no width
Extremities of a line
Line wich lies evenly with the points on itself
Defintion 1- Point
Has no part
Defintion 2- Line
Has no width
16 terms
Math Unit 1 Euclid
Postulate 1
Postulate 2
Postulate 3
Postulate 4
a straight line can be drawn from any point to any point
a finite straight line can be produced continuously in a stra…
a circle may be described with any center and distance
all right angles are equal to one another
Postulate 1
a straight line can be drawn from any point to any point
Postulate 2
a finite straight line can be produced continuously in a stra…
82 terms
Morrissey Honors Geometry Vocab
theorem
postulate
corollary
parallel
...
...
...
...
theorem
...
postulate
...
13 terms
geometry
whole numbers
no. of arith.
natural numbers
integers
0,1,2,3...
0 and on
1,2,3...
-2,-1,0,1,2...
whole numbers
0,1,2,3...
no. of arith.
0 and on
Spelling bee geometry
Acute
Adjacent
alternate
angle
acute
adjacent
alternate
angle
Acute
acute
Adjacent
adjacent
51 terms
Geometry
What is geometry about?
What does the word geometry mean?
Inductive reasoning/induction
In deductive reasoning, what is the "i…
Shapes, such as triangles, circles, squares, and rectangles.…
"earth measurement."
We look at several examples of something and find that a fact…
assumption (premise)
What is geometry about?
Shapes, such as triangles, circles, squares, and rectangles.…
What does the word geometry mean?
"earth measurement."
16 terms
Points of concurrency in a triangle
Inscribed Circle
Circumscribed Circle
Concurrent Lines
Incenter
A circle that is inside a triangle and is tangent to its sides.
A circle that goes around a triangle and passes through its v…
Lines that meet at a common point.
The center of the inscribed circle of a triangle.
Inscribed Circle
A circle that is inside a triangle and is tangent to its sides.
Circumscribed Circle
A circle that goes around a triangle and passes through its v…
20 terms
Basic Geometry Video Quiz 1
Euclid
point
line
width;thickness
___________________ wrote the first book on Geometry
A _____________________ is a fixed position in space.
The shortest distance between two points is called a ________…
breadth
Euclid
___________________ wrote the first book on Geometry
point
A _____________________ is a fixed position in space.
10 terms
Rockdale, Tx Spherical Geometry
antipodal points
great circle
arc
radius
the endpoints of a diameter of a sphere
circle whose center is also the center of a sphere
a part of the circumference of a circle or other curve
A line segment with one endpoint at the center of a circle an…
antipodal points
the endpoints of a diameter of a sphere
great circle
circle whose center is also the center of a sphere
31 terms
Geometry
Geometry
Thales of Miletus
Pythagoras
Euclid
Means "to measure the earth."
Used geometry to measure the height of the pyramids and the d…
Ancient Greek philosopher and mathematician. Proved Pythagore…
Ancient Greek philosopher and mzthematician. Father of Geometry
Geometry
Means "to measure the earth."
Thales of Miletus
Used geometry to measure the height of the pyramids and the d…
31 terms
Geometry
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 Unit 1
Acute Angles
Obtuse Angle
Right Angle
Straight Angle
Acute Angles
Obtuse Angle
30 terms
Art Appreciation- Day Two (First 5- Water Lilies- The Promenades of Euclid)
Water Lilies
Water Lilies
France
Water Lilies and End of Summer- Monet
Monet
Monet
Cleveland Museum of Art- Cleveland, Ohio
Water Lilies
Monet
Water Lilies
9 terms
Euclid's Postulates
Post. 1
Post. 2
Post. 3
Post. 4
A straight line segment can be drawn joining any two points.
Any straight line segment can be extended indefinitely, to fo…
Given any straight line segment, a circle can be drawn having…
All right angles are congruent.
Post. 1
A straight line segment can be drawn joining any two points.
Post. 2
Any straight line segment can be extended indefinitely, to fo…
31 terms
Geometry
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…
16 terms
Geometry Terms
Euclid
line
line segment
rectangle
The Elements
extends in both directions without an end
part of a line bounded by two endpoints
bounded by four line segments
Euclid
The Elements
line
extends in both directions without an end
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