This document defines various geometric terms including:
1. A point has no dimensions but is an indivisible location. A line has one dimension of length but no breadth. The extremities of a line are points.
2. A straight line lies evenly with points on itself. A surface has two dimensions of length and breadth. The edges of a surface are lines.
3. A plane angle is the inclination of two lines meeting in a plane. A right angle is formed when a line stands perpendicular to another. Obtuse and acute angles are defined in relation to a right angle.
4. Figures are bounded shapes. Circles are defined by a single circumference with radii of equal length
A powerpoint presentation made for an international geometry lesson during a Comenius visit in Gimnazjum 17 in Wrocław within the project 'Culture Beyond Borders'
Basic geometrical constuctions is how to construct angle by using compass and ruler.
this slide can help students or teachers to construct any angles especially for special angles they are 90 degree, 60 degree, 45 degree and 30 degree.
A powerpoint presentation made for an international geometry lesson during a Comenius visit in Gimnazjum 17 in Wrocław within the project 'Culture Beyond Borders'
Basic geometrical constuctions is how to construct angle by using compass and ruler.
this slide can help students or teachers to construct any angles especially for special angles they are 90 degree, 60 degree, 45 degree and 30 degree.
For those who need help in PPT's for Lines and Angles and want to get good results.
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The French Revolution, which began in 1789, was a period of radical social and political upheaval in France. It marked the decline of absolute monarchies, the rise of secular and democratic republics, and the eventual rise of Napoleon Bonaparte. This revolutionary period is crucial in understanding the transition from feudalism to modernity in Europe.
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The Art Pastor's Guide to Sabbath | Steve ThomasonSteve Thomason
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The Roman Empire A Historical Colossus.pdfkaushalkr1407
The Roman Empire, a vast and enduring power, stands as one of history's most remarkable civilizations, leaving an indelible imprint on the world. It emerged from the Roman Republic, transitioning into an imperial powerhouse under the leadership of Augustus Caesar in 27 BCE. This transformation marked the beginning of an era defined by unprecedented territorial expansion, architectural marvels, and profound cultural influence.
The empire's roots lie in the city of Rome, founded, according to legend, by Romulus in 753 BCE. Over centuries, Rome evolved from a small settlement to a formidable republic, characterized by a complex political system with elected officials and checks on power. However, internal strife, class conflicts, and military ambitions paved the way for the end of the Republic. Julius Caesar’s dictatorship and subsequent assassination in 44 BCE created a power vacuum, leading to a civil war. Octavian, later Augustus, emerged victorious, heralding the Roman Empire’s birth.
Under Augustus, the empire experienced the Pax Romana, a 200-year period of relative peace and stability. Augustus reformed the military, established efficient administrative systems, and initiated grand construction projects. The empire's borders expanded, encompassing territories from Britain to Egypt and from Spain to the Euphrates. Roman legions, renowned for their discipline and engineering prowess, secured and maintained these vast territories, building roads, fortifications, and cities that facilitated control and integration.
The Roman Empire’s society was hierarchical, with a rigid class system. At the top were the patricians, wealthy elites who held significant political power. Below them were the plebeians, free citizens with limited political influence, and the vast numbers of slaves who formed the backbone of the economy. The family unit was central, governed by the paterfamilias, the male head who held absolute authority.
Culturally, the Romans were eclectic, absorbing and adapting elements from the civilizations they encountered, particularly the Greeks. Roman art, literature, and philosophy reflected this synthesis, creating a rich cultural tapestry. Latin, the Roman language, became the lingua franca of the Western world, influencing numerous modern languages.
Roman architecture and engineering achievements were monumental. They perfected the arch, vault, and dome, constructing enduring structures like the Colosseum, Pantheon, and aqueducts. These engineering marvels not only showcased Roman ingenuity but also served practical purposes, from public entertainment to water supply.
The Indian economy is classified into different sectors to simplify the analysis and understanding of economic activities. For Class 10, it's essential to grasp the sectors of the Indian economy, understand their characteristics, and recognize their importance. This guide will provide detailed notes on the Sectors of the Indian Economy Class 10, using specific long-tail keywords to enhance comprehension.
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Operation “Blue Star” is the only event in the history of Independent India where the state went into war with its own people. Even after about 40 years it is not clear if it was culmination of states anger over people of the region, a political game of power or start of dictatorial chapter in the democratic setup.
The people of Punjab felt alienated from main stream due to denial of their just demands during a long democratic struggle since independence. As it happen all over the word, it led to militant struggle with great loss of lives of military, police and civilian personnel. Killing of Indira Gandhi and massacre of innocent Sikhs in Delhi and other India cities was also associated with this movement.
Palestine last event orientationfvgnh .pptxRaedMohamed3
An EFL lesson about the current events in Palestine. It is intended to be for intermediate students who wish to increase their listening skills through a short lesson in power point.
How to Make a Field invisible in Odoo 17Celine George
It is possible to hide or invisible some fields in odoo. Commonly using “invisible” attribute in the field definition to invisible the fields. This slide will show how to make a field invisible in odoo 17.
Synthetic Fiber Construction in lab .pptxPavel ( NSTU)
Synthetic fiber production is a fascinating and complex field that blends chemistry, engineering, and environmental science. By understanding these aspects, students can gain a comprehensive view of synthetic fiber production, its impact on society and the environment, and the potential for future innovations. Synthetic fibers play a crucial role in modern society, impacting various aspects of daily life, industry, and the environment. ynthetic fibers are integral to modern life, offering a range of benefits from cost-effectiveness and versatility to innovative applications and performance characteristics. While they pose environmental challenges, ongoing research and development aim to create more sustainable and eco-friendly alternatives. Understanding the importance of synthetic fibers helps in appreciating their role in the economy, industry, and daily life, while also emphasizing the need for sustainable practices and innovation.
We all have good and bad thoughts from time to time and situation to situation. We are bombarded daily with spiraling thoughts(both negative and positive) creating all-consuming feel , making us difficult to manage with associated suffering. Good thoughts are like our Mob Signal (Positive thought) amidst noise(negative thought) in the atmosphere. Negative thoughts like noise outweigh positive thoughts. These thoughts often create unwanted confusion, trouble, stress and frustration in our mind as well as chaos in our physical world. Negative thoughts are also known as “distorted thinking”.
Ethnobotany and Ethnopharmacology:
Ethnobotany in herbal drug evaluation,
Impact of Ethnobotany in traditional medicine,
New development in herbals,
Bio-prospecting tools for drug discovery,
Role of Ethnopharmacology in drug evaluation,
Reverse Pharmacology.
Instructions for Submissions thorugh G- Classroom.pptxJheel Barad
This presentation provides a briefing on how to upload submissions and documents in Google Classroom. It was prepared as part of an orientation for new Sainik School in-service teacher trainees. As a training officer, my goal is to ensure that you are comfortable and proficient with this essential tool for managing assignments and fostering student engagement.
2024.06.01 Introducing a competency framework for languag learning materials ...Sandy Millin
http://sandymillin.wordpress.com/iateflwebinar2024
Published classroom materials form the basis of syllabuses, drive teacher professional development, and have a potentially huge influence on learners, teachers and education systems. All teachers also create their own materials, whether a few sentences on a blackboard, a highly-structured fully-realised online course, or anything in between. Despite this, the knowledge and skills needed to create effective language learning materials are rarely part of teacher training, and are mostly learnt by trial and error.
Knowledge and skills frameworks, generally called competency frameworks, for ELT teachers, trainers and managers have existed for a few years now. However, until I created one for my MA dissertation, there wasn’t one drawing together what we need to know and do to be able to effectively produce language learning materials.
This webinar will introduce you to my framework, highlighting the key competencies I identified from my research. It will also show how anybody involved in language teaching (any language, not just English!), teacher training, managing schools or developing language learning materials can benefit from using the framework.
2. Definitions1. A point is that of which there is no part.
The description of a point, “there is no part,” indicates that a
point as having no width, length, or breadth, but as an indivisible
location
3. Definitions
2. And a line is a length without breadth.
or
A line is breadthless length.
The description, “breadthless length,” says that a line
will have one dimension, length, but it won’t have
breadth.
4. Definitions3. And the extremities of a line are points.
or
The ends of a line are points.
This description indicates A point can be end of an line
It doesn’t indicate how many ends a line can have.
For instance, the circumference of a circle has no ends, but a
finite line has its two end points.
5. Definitions4. A straight-line is whatever lies evenly with
points upon itself.
or
A straight line is a line which lies evenly with the points
on itself.
This description indicates if we are taking any two point
on the straight line and join them it lies completely on
the line
6. Definitions5. And a surface is that which has length and breadth alone
or
A surface is that which has length and breadth only.
This statement suggests that a surface has two dimensions
length and breadth namely
7. Definitions6. And the extremities of a surface are lines.
or
The edges of a surface are lines
This definition allow us to define relation between line and
plane
8. Definitions7. A plane surface is whatever lies evenly with straight-lines
upon itself.
or
A plane surface is a surface which lies evenly with the
straight lines on itself.
This Definition describe that if we take any two points on the
plane and join it than the line will completely lies on the plane
9. Definitions8. And a plane angle is the inclination of the lines, when two
lines in a plane meet one another, and are not laid down
straight-on with respect to one another.
or
A plane angle is the inclination to one another of two lines in a
plane which meet one another and do not lie in a straight line.
This concept of angle is quietly different from our modern
concept. In this concept angle is inclination between two
curves
10. Definitions9. And when the lines containing the angle are straight
then the angle is called rectilinear.
11. Definitions10. And when a straight-line stood upon another
straight-line makes adjacent angles which are equal to
one another, each of the equal angles is a right-angle,
and the former straight-line is called perpendicular to
that upon which it stands.
The word orthogonal is frequently used in mathematics as a synonym for
perpendicular.
14. Definitions13. A boundary is that which is the
extremity of some thing.
The boundary is the extremities of any object like the
boundary of ball is circle
15. Definitions14. A figure is that which is contained
by some bound or boundaries.
The figure should be bounded that means this
should has the finite area not infinite
16. Definitions15. A circle is a plane figure contained by a single line
which is called a circumference such that all of the
straight-lines radiating towards the circumference from
a single point lying inside the figure are equal to one
another.
16. And the point is called the center of the circle.
17. Definitions17. And a diameter of the circle is any straight-line,
being drawn through the center, which is brought to an
end in each direction by the circumference of the circle.
And any such straight-line cuts the circle in half.
18. Definitions18. And a semi-circle is the figure
contained by the diameter and the
circumference it cuts off. And the center of
the semi-circle is the same point as the
center of the circle.
19. Definitions19. Rectilinear figures are those figures contained by
straight-lines: trilateral figures being contained by three
straight-lines, quadrilateral by four, and multilateral by
more than four.
20. Definitions20. And of the trilateral figures: an equilateral triangle
is that having three equal sides, an isosceles triangle
that having only two equal sides, and a scalene triangle
that having three unequal sides.
This definition classifies triangles
by their symmetries,
The scalene triangle C has no
symmetries, but the isosceles
triangle B has a bilateral symmetry.
The equilateral triangle A not only
has three bilateral symmetries, but
also has 120°-rotational
symmetries
21. Definitions21. And further of the trilateral figures: a right-angled
triangle is that having a right-angle, an obtuse-angled
(triangle) that having an obtuse angle, and an acute
angled triangle that having three acute angles.
No triangle can contain more than
one right angle. Furthermore,
there can be at most one obtuse
angle, and a right angle and an
obtuse angle cannot occur in the
same triangle.
22. Definitions22. And of the quadrilateral figures: a square is that
which is right-angled and equilateral, a rectangle that
which is right-angled but not equilateral, a rhombus
that which is equilateral but not right-angled, and a
rhomboid that having opposite sides and angles equal
to one another which is neither right-angled nor
equilateral. And let quadrilateral figures
besides these be called trapezia.
23. The figure A is, of course, a square. Figure B is an oblong, or a
rectangle. Figure C is a rhombus. Figure D is a trapezium (also
called a trapeze or trapezoid). And figure E is a parallelogram, not
defined here.
24. Definitions23. Parallel lines are straight-lines which, being in the
same plane, and being produced to infinity in each
direction, meet with one another in neither of these
directions.
Explanation: For the straight lines to be parallel they
should
1. Being in the same plane
2.After producing infinitely they should not meet any
Direction
25. Created By : Raman Choubay
Email: raman.choubay@gmail.com