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Polygon Review and Puzzlers in the Above, Those Are Names to the Polygons: Fill in the Blank Parts. Names: Number of Sides
Polygon review and puzzlers ÆReview to the classification of polygons: Is it a Polygon? Polygons are 2-dimensional shapes. They are made of straight lines, and the shape is "closed" (all the lines connect up). Polygon Not a Polygon Not a Polygon (straight sides) (has a curve) (open, not closed) Regular polygons have equal length sides and equal interior angles. Polygons are named according to their number of sides. Name of Degree of Degree of triangle total angles regular angles Triangle 180 60 In the above, those are names to the polygons: Quadrilateral 360 90 fill in the blank parts. Pentagon Hexagon Heptagon 900 129 Names: number of sides: Octagon Nonagon hendecagon, 11 dodecagon, _____________ Decagon 1440 144 tetradecagon, 13 hexadecagon, 15 Do you see a pattern in the calculation of the heptadecagon, _____________ total degree of angles of the polygon? octadecagon, _____________ --- (n -2) x 180° enneadecagon, _____________ icosagon 20 pentadecagon, _____________ These summation of angles rules, also apply to the irregular polygons, try it out yourself !!! A point where two or more straight lines meet. Corner. Example: a corner of a polygon (2D) or of a polyhedron (3D) as shown. The plural of vertex is "vertices” Test them out yourself, by drawing diagonals on the polygons. Here are some fun polygon riddles; could you come up with the answer? Geometry polygon riddles I: My first is in shape and also in space; My second is in line and also in place; My third is in point and also in line; My fourth in operation but not in sign; My fifth is in angle but not in degree; My sixth is in glide but not symmetry; Geometry polygon riddles II: I am a polygon all my angles have the same measure all my five sides have the same measure, what general shape am I? Geometry polygon riddles III: I am a polygon. -
Nīshāpūrī Scholars in the Formation of Sunnī Scholarship in the Eleventh Century
Al-Jāmi‘ah: Journal of Islamic Studies - ISSN: 0126-012X (p); 2356-0912 (e) Vol. 55, no. 2 (2017), pp.427-462, doi: 10.14421/ajis.2017.552.427-462 NĪSHĀPŪRĪ SCHOLARS IN THE FORMATION OF SUNNĪ SCHOLARSHIP IN THE ELEVENTH CENTURY Mohammad Syifa Amin Widigdo Universitas Muhammadiyah Yogyakarta, Yogyakarta, Indonesia email: [email protected] Abstract The role of Nīshāpūrī medieval scholars in the tenth-eleventh century in the formation of Sunnī orthodoxy has been rarely discussed. The existing scholarship focuses primarily on the local history of Nīshāpūr and other parts of eastern Muslim world or emphasizes more on the contribution of Baghdādī scholars in the light of the formation of Sunnī legal schools, which in turn is deemed as Sunnī orthodoxy, than their counterpart in Nīshāpūr and other cities in the east. Therefore, this paper attempts to show how Muslim scholars from Nīshāpūr contributed to the advancement of Sunnī scholarship in the fifth/eleventh century through a closer study of intellectual strategies developed and employed by Nīshāpūrī scholars to cope with their local challenges. They built intellectual networking and attempted to integrate legal and theological scholarship in Islamic scholarship to deal with their local problems, which interestingly shaped their distinctive contribution in the light of Sunnī scholarship tradition. By means of this attempt of intellectual networking and harmonizing legal scholarship (fiqh) and theological scholarship (kalām), they were not only able to tackle local problems but also equipped with intellectual means to push doctrinal boundaries within Sunnī scholarship in the fifth/ eleventh century. [Peran ilmuwan Nīshāpūr abad pertengahan dalam pembentukan ortodoksi Sunni di abad 10 – 11 masehi masih jarang dibahas. -
Formulas Involving Polygons - Lesson 7-3
you are here > Class Notes – Chapter 7 – Lesson 7-3 Formulas Involving Polygons - Lesson 7-3 Here’s today’s warmup…don’t forget to “phone home!” B Given: BD bisects ∠PBQ PD ⊥ PB QD ⊥ QB M Prove: BD is ⊥ bis. of PQ P Q D Statements Reasons Honors Geometry Notes Today, we started by learning how polygons are classified by their number of sides...you should already know a lot of these - just make sure to memorize the ones you don't know!! Sides Name 3 Triangle 4 Quadrilateral 5 Pentagon 6 Hexagon 7 Heptagon 8 Octagon 9 Nonagon 10 Decagon 11 Undecagon 12 Dodecagon 13 Tridecagon 14 Tetradecagon 15 Pentadecagon 16 Hexadecagon 17 Heptadecagon 18 Octadecagon 19 Enneadecagon 20 Icosagon n n-gon Baroody Page 2 of 6 Honors Geometry Notes Next, let’s look at the diagonals of polygons with different numbers of sides. By drawing as many diagonals as we could from one diagonal, you should be able to see a pattern...we can make n-2 triangles in a n-sided polygon. Given this information and the fact that the sum of the interior angles of a polygon is 180°, we can come up with a theorem that helps us to figure out the sum of the measures of the interior angles of any n-sided polygon! Baroody Page 3 of 6 Honors Geometry Notes Next, let’s look at exterior angles in a polygon. First, consider the exterior angles of a pentagon as shown below: Note that the sum of the exterior angles is 360°. -
Transcendent Philosophy
Transcendent Philosophy An International Journal for Comparative Philosophy and Mysticism Articles William C. Chittick On the Teleology of Perception S. M. Khamenei Sense Perception Oliver Leaman Mulla Sadra, Perception and Knowledge by Presence M. Araki The Nature and Stages of Perception in Mulla Sadra’s Philosophy Cécile Bonmariage How is it possible to see Ghouls (Ghûl) in the Desert? G. E. Dinani Unification of Intelligent and Intelligible I. Kalin Knowledge as Appropriation vs. Knowledge as Reprehension S. Pazouki Sufi Knowledge in Mulla Sadra E. Wolf‐Gazo Berkeley, Whitehead, Sadra: From Sense Impressions to Intuition On the Teleology of Perception William C. Chittick, State University of New York, USA Abstract Mulla Sadra's primary philosophical project is to map out the path of achieving the soul's perfection. His several well‐known contributions to the philosophical vocabulary, such as the "systematic Ambiguity" (tashkik) of existence and "substantial motion," were all developed to explain how the soul enters into this world through corporealization and departs from it by way spiritualization. His remarkably detailed investigations of the modalities of afterworldly experience simply illustrate his desire to explain the full range of possibilities that are open to the human soul. In order to grasp the role of perception in his overall project, it is necessary to understand the end toward which perception is directed and the nature of its final fruition. The soul perceives by nature, so much so that perception enters into its very definition. In and of themselves, however, the varieties of perception possessed by the animal soul do not suffice for the achievement of human perfection, though perception remains an essential attribute of the soul. -
Islamic Perspective Journal of the Islamic Studies and Humanities Number 7, Volume 1, Spring & Summer 2012 London Academy of Iranian Studies
Islamic Perspective Journal of the Islamic Studies and Humanities Number 7, Volume 1, Spring & Summer 2012 London Academy of Iranian Studies Chairman: Seyed G. Safavi, SOAS University, UK Editor-in-Chief: Seyed Javad Miri, Institute for Humanities and Cultural Studies (IHCS), Iran Book Review Editor: Yoginder Singh Sikand, National Law School, Bangalore, India Managing Editor: Reza Hosseini, Institute for Humanities and Cultural Studies (IHCS), Iran Editorial Board Akbar Ahmed, American University, USA Rohit Barot, Bristol University, England Kenneth MacKendrick, University of Manitoba, Canada Faegheh Shirazi, The University of Texas at Austin, USA Judith Blau, University of North Carolina, Chapel Hill, USA Warren S. Goldstein, Center for Critical Research on Religion, USA Oleg V. Kuznetsov, State University of Chita, Siberia, Russia Syed Farid al-Attas, National University of Singapore, Singapore Seyed G. Safavi, SOAS University, UK Richard Foltz, Concordia University, Canada John Herlihy, Petroleum Institute, UAE Margarita Karamihova, Sofia University, Bulgaria Gary Wood, Virginia Polytechnic Institute & State University, USA Seyed Javad Miri, Institute of Humanities and Cultural Studies, Iran Husain Heriyanto, ICAS, Indonesia Eleanor Finnegan, University of Florida, USA Tugrul Keskin, Portland State University, USA Advisory Board George Ritzer, University of Maryland, USA Oliver Leaman, University of Kentucky, USA William I. Robinson, University of California-Santa Barbara, USA Omid Safi, University of North Carolina, USA Charles Butterworth, University of Maryland, College Park, USA Mahmud Keyvanara, Isfahan University of Medical Sciences, Iran Zivar Huseynova, Xezer University, Republic of Azerbayjan Yoginder Singh Sikand, National Law School, Bangalore, India Rachel Woodlock, Monash University, Australia Ejder Okumuş, Eskişehir osmangazi University, Turkey Manuscript Submission Submissions of articles, book reviews and other correspondence should be sent to: Seyed Javad Miri at [email protected]. -
Doctor of Philosophy
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by AMU Repository (Knowledge Repository) THE CONCEPT OF LIGHT IN THE PHILOSOPHY OF ISHRAQ THESIS SUBMITTED FOR THE AWARD OF THE DEGREE OF Doctor of Philosophy IN PHILOSOPHY By NAZIMA HASSAN UNDER THE SUPERVISION OF Dr. HAYAT AMIR DEPARTMENT OF PHILOSOPHY ALIGARH MUSLIM UNIVERSITY ALIGARH (INDIA) 2015 Dedicated to My Loving Parents & Supervisor Exter : 2700920-21-24 Phones Inter.: 1550-1551 DEPARTMENT OF PHILOSOPHY ALIGARH MUSLIM UNIVERSITY Dated…………………… Certificate This is to certify that the thesis titled “TheConcept ofLight in the Philosophy of Ishraq” is an original piece of research carried out byMs.Nazima Hassan (Enrol.No.GC-2061)under my supervision and the same has not been published or submitted elsewhere for the award of any other degree. Miss Nazima Hassan has consulted all the relevant and appropriate research material with regard to the topic of her Ph.D.theis. In my opinion, the present research work is of high quality and fit to be submitted for the award of the degree of the Doctor of Philosophy in Philosophy of the Aligarh Muslim University, Aligarh (India). (Dr. Hayat Aamir) Supervisor ACKNOWLEDGEMENT Every Time We Remember to Say “Thank You”, We Experience Nothing less than Heaven on Earth. -Sarah Ban Breathnach I pen down my immense gratitude to all the people who were associated with me in any form during the tenure of this research work. It is rather a pleasure to convey my gratitude to all of them. This is the best opportunity and my pleasant duty to express my deep sense of gratitude to my esteemed supervisor, Dr. -
( ) Methods for Construction of Odd Number Pointed
Daniel DOBRE METHODS FOR CONSTRUCTION OF ODD NUMBER POINTED POLYGONS Abstract: The purpose of this paper is to present methods for constructing of polygons with an odd number of sides, although some of them may not be built only with compass and straightedge. Odd pointed polygons are difficult to construct accurately, though there are relatively simple ways of making a good approximation which are accurate within the normal working tolerances of design practitioners. The paper illustrates rather complicated constructions to produce unconstructible polygons with an odd number of sides, constructions that are particularly helpful for engineers, architects and designers. All methods presented in this paper provide practice in geometric representations. Key words: regular polygon, pentagon, heptagon, nonagon, hendecagon, pentadecagon, heptadecagon. 1. INTRODUCTION n – number of sides; Ln – length of a side; For a specialist inured to engineering graphics, plane an – apothem (radius of inscribed circle); and solid geometries exert a special fascination. Relying R – radius of circumscribed circle. on theorems and relations between linear and angular sizes, geometry develops students' spatial imagination so 2. THREE - POINT GEOMETRY necessary for understanding other graphic discipline, descriptive geometry, underlying representations in The construction for three point geometry is shown engineering graphics. in fig. 1. Given a circle with center O, draw the diameter Construction of regular polygons with odd number of AD. From the point D as center and, with a radius in sides, just by straightedge and compass, has preoccupied compass equal to the radius of circle, describe an arc that many mathematicians who have found ingenious intersects the circle at points B and C. -
A Comparison of the References to Muqatil B
Journal of Semitic Studies LIII/1 Spring 2008 doi:10.1093/jss/fgm045 © The author. PublishedREFERENCES by Oxford TO UniversityMUQATIL Press B. SULAYMon behalf AofN the (150/767) University of Manchester. All rights reserved. A COMPARISON OF THE REFERENCES TO MUQATIL B. SULAYMAN (150/767) IN THE EXEGESIS OF AL-THA{LABI (427/1036) Downloaded from https://academic.oup.com/jss/article/53/1/69/1729574 by ANKARA UNIVERSITY user on 08 July 2021 WITH MUQATIL'S OWN EXEGESIS* MEHMET AKIF KOÇ ANKARA UNIVERSITY, TURKEY Abstract Muqatil b. Sulayman’s work is the oldest surviving exegesis which comments on the entire Qur’an from the beginning to the end. Ana- lytical comparisons between different manuscripts of this exegesis and the quotations made by the exegetes, who greatly benefited from Muqatil, give us important information about the history of Quranic exegesis. al-Tha¨labi’s references to Muqatil offer valuable data illumi- nating the role of ‘the changing contents’ of the manuscripts in un- derstanding the history of the exegesis. Changing evaluations and criticism about Muqatil’s personality and his opinions show that the history of Quranic exegesis needs to be further critically studied. Introduction Muqatil b. Sulayman’s exegesis has been studied by modern scholars to enable them to elaborate on the history of early exegetical activi- ties. The investigation of the transmissions of Muqatil in al-Tha¨labi’s recently published exegesis, al-Kashf wa al-bayan ¨an tafsir al-Qur’an1 has also contributed to the elucidation of the early development of exegesis and to the understanding of its nature in the following peri- * My thanks are due to Associate Professor Ismail Albayrak (Faculty of Divin- ity/Sakarya University) for comments and for correcting the English text of my ar- ticle. -
Mehdi Aminrazavi HOW AVICENNIAN WAS SUHRAWARDI's THEORY
Philosophy of Illumination: Suhrawardi and his School Mehdi Aminrazavi (University of Mary Washington, USA) HOW AVICENNIAN WAS SUHRAWARDI’S THEORY 1 OF KNOWLEDGE? In what follows, I will argue that, despite apparent differences and adherence to two different schools of thought, Ibn Sina and Suhrawardi essentially offer the same theories of knowledge. It will be argued that Ibn Sina’s Peripatetic orien- tation and Suhrawardi’s ishraqi perspective have both maintained and adhered to the same epistemological framework while the philosophical languages, in which their respective epistemologies are discussed, are different. Of particular interest in our investigation is to show that both masters have adhered to a hierarchy of knowledge which is as follows: 1. Knowledge by definition; 2. Knowledge by sense perception; 3. Knowledge through a priori concepts; 4. Knowledge by presence; 5. Knowledge through direct experience: mysticism. To begin with, the question of epistemology is inevitably intertwined with the ontological scheme upon which a philosophical school is built. In this regard, both Ibn Sina and Suhrawardi follow the same ontological structure although the “fabrics” of their ontologies are different, for Ibn Sina it is Being and for Suhra- wardi it is light. It is this similarity, which allows us to engage ourselves in a comparative study of their respective views on the question of knowledge. Ibn Sina and Suhrawardi both adhere to a hierarchical ontology whose vari- ous levels are emanations from One source. For Ibn Sina, this source is the wājib al-wujūd whom he equates with pure Being and for Suhrawardi it is pure light whom he refers to as the Light of Lights. -
The Socioeconomics of State Formation in Medieval Afghanistan
The Socioeconomics of State Formation in Medieval Afghanistan George Fiske Submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy in the Graduate School of Arts and Sciences COLUMBIA UNIVERSITY 2012 © 2012 George Fiske All rights reserved ABSTRACT The Socioeconomics of State Formation in Medieval Afghanistan George Fiske This study examines the socioeconomics of state formation in medieval Afghanistan in historical and historiographic terms. It outlines the thousand year history of Ghaznavid historiography by treating primary and secondary sources as a continuum of perspectives, demonstrating the persistent problems of dynastic and political thinking across periods and cultures. It conceptualizes the geography of Ghaznavid origins by framing their rise within specific landscapes and histories of state formation, favoring time over space as much as possible and reintegrating their experience with the general histories of Iran, Central Asia, and India. Once the grand narrative is illustrated, the scope narrows to the dual process of monetization and urbanization in Samanid territory in order to approach Ghaznavid obstacles to state formation. The socioeconomic narrative then shifts to political and military specifics to demythologize the rise of the Ghaznavids in terms of the framing contexts described in the previous chapters. Finally, the study specifies the exact combination of culture and history which the Ghaznavids exemplified to show their particular and universal character and suggest future paths for research. The Socioeconomics of State Formation in Medieval Afghanistan I. General Introduction II. Perspectives on the Ghaznavid Age History of the literature Entrance into western European discourse Reevaluations of the last century Historiographic rethinking Synopsis III. -
Islamic Perspective
Islamic Perspective Journal of the Islamic Studies and Humanities Volume 18, Winter 2017 Center for Sociological Studies In Cooperation with London Academy of Iranian Studies Chairman: Seyed G. Safavi, SOAS University, UK Editor-in-Chief: Seyed Javad Miri, Institute for Humanities and Cultural Studies (IHCS), Iran Book Review Editor: Yoginder Singh Sikand, National Law School, Bangalore, India Managing Editor: Vahideh Sadeghi, Institute for Humanities and Cultural Studies (IHCS), Iran Editorial Board Akbar Ahmed, American University, USA Rohit Barot, Bristol University, England Kenneth MacKendrick, University of Manitoba, Canada Faegheh Shirazi, The University of Texas at Austin, USA Judith Blau, University of North Carolina, Chapel Hill, USA Warren S. Goldstein, Center for Critical Research on Religion, USA Oleg V. Kuznetsov, State University of Chita, Siberia, Russia Syed Farid al-Attas, National University of Singapore, Singapore Seyed G. Safavi, SOAS University, UK Richard Foltz, Concordia University, Canada John Herlihy, Petroleum Institute, UAE Margarita Karamihova, Sofia University, Bulgaria Gary Wood, Virginia Polytechnic Institute & State University, USA Seyed Javad Miri, Institute of Humanities and Cultural Studies, Iran Husain Heriyanto, ICAS, Indonesia Eleanor Finnegan, University of Florida, USA Tugrul Keskin, Portland State University, USA Advisory Board George Ritzer, University of Maryland, USA Oliver Leaman, University of Kentucky, USA William I. Robinson, University of California-Santa Barbara, USA Omid Safi, University of North Carolina, USA Charles Butterworth, University of Maryland, College Park, USA Mahmud Keyvanara, Isfahan University of Medical Sciences, Iran Zivar Huseynova, Xezer University, Republic of Azerbayjan Yoginder Singh Sikand, National Law School, Bangalore, India Rachel Woodlock, Monash University, Australia Ejder Okumuş, Eskişehir osmangazi University, Turkey Manuscript Submission Submissions of articles, book reviews and other correspondence should be sent to: Seyed Javad Miri at [email protected]. -
Parallelogram Rhombus Nonagon Hexagon Icosagon Tetrakaidecagon Hexakaidecagon Quadrilateral Ellipse Scalene T
Call List parallelogram rhombus nonagon hexagon icosagon tetrakaidecagon hexakaidecagon quadrilateral ellipse scalene triangle square rectangle hendecagon pentagon dodecagon decagon trapezium / trapezoid right triangle equilateral triangle circle octagon heptagon isosceles triangle pentadecagon triskaidecagon Created using www.BingoCardPrinter.com B I N G O parallelogram tetrakaidecagon square dodecagon circle rhombus hexakaidecagon rectangle decagon octagon Free trapezium / nonagon quadrilateral heptagon Space trapezoid right isosceles hexagon hendecagon ellipse triangle triangle scalene equilateral icosagon pentagon pentadecagon triangle triangle Created using www.BingoCardPrinter.com B I N G O pentagon rectangle pentadecagon triskaidecagon hexakaidecagon equilateral scalene nonagon parallelogram circle triangle triangle isosceles Free trapezium / octagon triangle Space square trapezoid ellipse heptagon rhombus tetrakaidecagon icosagon right decagon hendecagon dodecagon hexagon triangle Created using www.BingoCardPrinter.com B I N G O right decagon triskaidecagon hendecagon dodecagon triangle trapezium / scalene pentagon square trapezoid triangle circle Free tetrakaidecagon octagon quadrilateral ellipse Space isosceles parallelogram hexagon hexakaidecagon nonagon triangle equilateral pentadecagon rectangle icosagon heptagon triangle Created using www.BingoCardPrinter.com B I N G O equilateral trapezium / pentagon pentadecagon dodecagon triangle trapezoid rectangle rhombus quadrilateral nonagon octagon isosceles Free scalene hendecagon