Similarity- Similarity occurs when an object is the same as another object except in a different scale (size) then the original. In triangles, two are only similar if they have all the same angles or their sides are proportional to each other. Squares are always similar and rectangles must have proportional sides as well.

Gnomons- A gnomon in math terms is an object G that fits together with another object A but remains similar to object A just on a different scale.

Disks and Circles are Always similar under every circumstance. A circle could only be an object A but never a gnomon because of its properties.

Circular Rings would be the object A and the gnomon would be the other shape but it does have a gnomon. The shapes of the inner and outer radii however have to be proportional or it is not similar.

Rectangles can be the object A but not the gnomon and only if the gnomon that fits on to it has sides corresponding to that of the rectangle being used for object A.

Circular Disks The O shaped ring would be the gnomon to the smaller filled in circle and that circles diameter would have to also be proportional to the gnomons thickness.

Squares once again the square must be the Object A and the L shaped figure would have to be the proportional gnomon.

Triangles Object A and the gnomon can be any type of triangle as long as it ends up having the same angle sizes or side lengths as triangle object A

Note: A rectangle can not be its on gnomon because you cant separate a rectangle from a rectangle without leaving an L shaped figure behind and that L shaped figure would not be proportional to the rectangle that object A and the gnomon would form when combined together.

The Golden Rectangle is the special rectangle that is just the perfect balance between being too skinny and too squarish that appeals most naturally to us as humans in nature and occurs in all of our modern appliances and objects in our world. It is...

...compairing the characteristics of greek and roman architecture. And its all about religion beliefs, different materials they’ve use to do a structure.
Keyword
Ancient Greek Architecture, Ancient Roman Architecture
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The context of this paper is about the ancient structure, different similar concepts. And about the history in ancient greek architecture and ancient roman architecture. Roman architecture is essentially a hybrid composed of elements inherited from...

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I would like to explore the unit circle and how it is essential in the field of Mathematics especially in Trigonometry and Calculus. I, myself, am a Math enthusiast and I have heard many people complaining as to why Unit Circle is part of the curriculum when it is just a circle with a radius of one. I would like to know if there is a relevant relationship with how developed a student’s...

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Two triangles are said to be similar if every angle of one triangle has the same measure as the corresponding angle in the other triangle. The corresponding sides of similar triangles have lengths that are in the same proportion, and this property is also sufficient to establish similarity.
A few basic theorems about similar triangles:
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...is at war with Eastasia, it was always at war with Eastasia, even though that few weeks ago Oceania was at Eurasia. If The Party vaporises someone, they cease to exist – not only on paper but people’s minds. There will be no reference to him in any of the official documents, his name is stricken off every piece of paper, his memory is to be deleted in everyone’s mind by an unwritten commandment. Wives are to forget their husbands; Sons their Mothers. Doublethink is...

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Time : 3 Hrs. M.M. : 80
1. If 1 is a root of the equation ay2 + ay + 3 = 0 and y2 + y + b = 0, then ab equals :
(a) 3 (b) (c) 6 (d) 3
2. The sum of first 20 odd natural numbers is :
(a) 100 (b) 210 (c) 400 (d) 420
3. In fig., the sides AB, BC and CA of a triangle ABC, touch a circle at P, Q and R respectively. If PA = 4 cm, BP = 3 cm and
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Class – XI
Subject – MATHEMATICS
Time Duration: 3 hours M.M.100
Section - A
(Question No 1 Compulsory and Attempt five other questions)
Question 1 [10 X 3 = 30]
(i) If .Show that
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* Gilboa, E. (2005). The CNN effect: The search for a communication theory of international relations. Political Communication, 22, 27-44.
* Hallin, D., & Mancini, P. (2004). Dimensions and models in comparing media systems. Paper presented to the 2004 annual convention of the International Communication Association, New Orleans, May 27-31.
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... I am writing a paper on the similarities of the setting between two books, The Giver and Gathering Blue both by the same author Lois Lowry. To start off, in both of the books they have annual gatherings each year that start in the morning, are multiple hours long, have lunch and resting breaks and continue into the afternoon. During these gatherings or celebrations the celebrate their past and their maturity and age. Another likeness is that they both have a...

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