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Rating 4.6 The word geometry is derived from the Greek words geos (meaning earth) and metron (meaning measure). The ancient Egyptians, Chinese, Babylonians, Romans, and Greeks used geometry for surveying, navigation, astronomy, and other practical occupations. The Greeks sought to systematize the geometric facts they knew by establishing logical reasons for them and relationships among them. The work of men such as Thales (600 B.C.), Pythagoras (540 B.C.), Plato (390 B.C.), and Aristotle (350 B.C.) in systematizing geometric facts and principles culminated in the geometry text Elements, written in approximately 325 B.C. by Euclid. This most remarkable text has been in use for over 2000 years. edit pdf online free: Easy to use Online PDF editor - Sejda best free pdf editor online PDFzorro | edit pdf -files online
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The original online Free PDF editor & form filler. Now with more options ... A smart alternative to Adobe® Acrobat® for Windows. ... works with Windows 10, 8, & 7 ... These undefined terms underlie the definitions of all geometric terms. They can be given meanings by way of descriptions. However, these descriptions, which follow, are not to be thought of as definitions. A point has position only. It has no length, width, or thickness. A point is represented by a dot. Keep in mind, however, that the dot represents a point but is not a point, just as a dot on a map may represent a locality but is not the locality. A dot, unlike a point, has size. A point is designated by a capital letter next to the dot, thus point A is represented: A. A line has length but has no width or thickness. A line may be represented by the path of a piece of chalk on the blackboard or by a stretched rubber band. A line is designated by the capital letters of any two of its points or by a small letter, thus: (a) Fluffy is a domestic animal. (d) A rectangle has congruent diagonals. (e) ^ ABC is an obtuse triangle. 2.2 Postulates (Assumptions) smart pdf editor online PDFzorro | edit pdf -files online
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Edit PDF files for free with our online PDF editor ! You can add text, ... There's no software to install- all you need is the web browser you're using right now! and summarizing business transactions and interpreting their effects is accomplished by the accountant. The bookkeeper is concerned with tech niques involving the recording transactions, and the accountant s objec tive is the use of data for interpretation. Bookkeeping and accounting techniques will both be discussed. The entire structure of proof in geometry rests upon, or begins with, some unproved general statements called postulates. These are statements which we must willingly assume or accept as true so as to be able to deduce other statements. Things equal to the same or equal things are equal to each other; if a a c. (Transitive Postulate) Thus the total value of a dime is equal to the value of two nickels because each is equal to the value of ten pennies. 2: A quantity may be substituted for its equal in any expression or equation. (Substitution Postulate) 3: 4: 5: The whole equals the sum of its parts. (Partition Postulate) Any quantity equals itself. (Reflexive Postulate or Identity Postulate) If equals are added to equals, the sums are equal; if a d. (Addition Postulate) The nancial condition or position of a business enterprise is represent ed by the relationship of assets to liabilities and capital. Assets: Properties that are owned and have money value for instance, cash, inventory, buildings, equipment. Liabilities: Amounts owed to outsiders, such as notes payable, accounts payable, bonds payable. Capital: The interest of the owners in an enterprise; also known as own ers equity. These three basic elements are connected by a fundamental rela tionship called the accounting equation. This equation expresses the equality of the assets on one side with the claims of the creditors and owners on the other side: Assets = Liabilities + Owner s Equity If equals are subtracted from equals, the differences are equal; if a a c b d. (Subtraction Postulate) 7: If equals are multiplied by equals, the products are equal; if a ac bd. (Multiplication Postulate) Thus if the price of one book is $2, the price of three books is $6. Special multiplication axiom: Doubles of equals are equal. online pdf editor edit pdf-files online - meta_change - PDFzorro
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