# Changes related to "Geometry/Chapter 11"

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#### 28 August 2016

- (diff | hist) . . Geometry/Chapter 2 [review]; 20:15 . . (+1) . . BethNaught (discuss | contribs) (Undid revision 3108536 by 2602:30A:2CBE:8760:9DC6:F173:46CD:E96F (discuss))

#### 26 August 2016

- (diff | hist) . . Geometry/Chapter 1; 21:42 . . (-79) . . Sluffs (discuss | contribs) (→Section 1.3 - Undefined Terms: removed - (again, more later) - not needed)
- (diff | hist) . . Geometry/Chapter 1; 21:39 . . (-22) . . Sluffs (discuss | contribs) (→Exercises: getting my premises and predicates mixed up - corrected)
- (diff | hist) . . Geometry/Chapter 1; 21:27 . . (+248) . . Sluffs (discuss | contribs) (→Exercises: added that these logic questions are based on the major/minor premise form and that the subject of the premise must be part of the affirmative or negative answer - otherwise the exercises are difficult)

#### 24 August 2016

- (diff | hist) . . m Geometry/Chapter 1; 23:39 . . (-71) . . Sluffs (discuss | contribs) (→Section 1.2 - Reasoning: removed link to Wikipedia article - not needed - the following material deals with the matter)
- (diff | hist) . . m Geometry/Chapter 1; 23:36 . . (+5) . . Sluffs (discuss | contribs) (→Section 1.1 - Introduction)
- (diff | hist) . . m Geometry/Chapter 1; 23:35 . . (-61) . . Sluffs (discuss | contribs) (→Section 1.1 - Introduction)
- (diff | hist) . . Geometry/Chapter 1; 23:34 . . (-208) . . Sluffs (discuss | contribs) (→Section 1.1 - Introduction: removed sentenceː "Although this textbook is not a re-interpretation of ''The Elements'', it will include more than just facts about geometric objects..." - Reasonː not needed - the introduction is fine)
- (diff | hist) . . m Geometry/Chapter 1; 23:18 . . (+1) . . Sluffs (discuss | contribs) (→Section 1.1 - Introduction)
- (diff | hist) . . m Geometry/Chapter 1; 23:17 . . (-1) . . Sluffs (discuss | contribs) (→Section 1.1 - Introduction)
- (diff | hist) . . Geometry/Chapter 1; 21:51 . . (-68) . . Sluffs (discuss | contribs) (→Section 1.1 - Introduction: removedː (or elementary) - not so much elementary because it involves abstract concepts such as ratio, equality, boundary - e.g. for equalityː if A is equal to C and B is equal to C than B is equal to A)
- (diff | hist) . . m Geometry/Chapter 1; 02:26 . . (-114) . . Sluffs (discuss | contribs)
- (diff | hist) . . Geometry/Chapter 1; 02:23 . . (-63) . . Sluffs (discuss | contribs) (→Inductive Reasoning: removedː "Looking at the example above you may" - not needed - the previous editors shows clearly why squaring a half results in a quarter)
- (diff | hist) . . m Geometry/Chapter 1; 02:19 . . (-2) . . Sluffs (discuss | contribs) (→Inductive Reasoning)
- (diff | hist) . . Geometry/Chapter 1; 02:18 . . (+23) . . Sluffs (discuss | contribs) (→Inductive Reasoning: changedː "Based on observations, this appears to be true." to "Based on the result of squaring whole numbers this appears to be true." - it doesn't matter if its negative or positive - it is still a whole number)
- (diff | hist) . . Geometry/Chapter 1; 02:13 . . (-2) . . Sluffs (discuss | contribs) (→Inductive Reasoning: "A beginning observer of American baseball may conclude" - changed "beginning" to "foreign" - that is nearer to no knowledge of the game)
- (diff | hist) . . Geometry/Chapter 1; 01:46 . . (+201) . . Sluffs (discuss | contribs) (→Inductive Reasoning: this paragraph ends with Kuhn - but he is not mentioned so I added his name and the concepts of "paradigm" and "generalizations" - the importance of this is not lost on those who have read the "Almagest" by Ptolemy)
- (diff | hist) . . Geometry/Chapter 1; 01:22 . . (-68) . . Sluffs (discuss | contribs) (→Section 1.1 - Introduction: typo and removed link to Nasa)
- (diff | hist) . . Geometry/Chapter 1; 00:27 . . (+27) . . Sluffs (discuss | contribs) (→Section 1.3 - Undefined Terms: adding that Hume considered all knowledge "a posteriori" which I've just discovered gave Einstein the reason to abandon the axioms of Euclidean geometry to invent a curved time-space theory- oh well learn something new)
- (diff | hist) . . Geometry/Chapter 1; 00:21 . . (-69) . . Sluffs (discuss | contribs) (→Section 1.3 - Undefined Terms: removed bold - not needed and looks better - bold is useful but the terms were "segment", "ray", and "angle" which I think most people would know)

#### 23 August 2016

- (diff | hist) . . Geometry/Chapter 1; 23:55 . . (+2) . . Sluffs (discuss | contribs) (→Section 1.3 - Undefined Terms: changed word to "understanding" - I'm a bit puzzled why this whole section is called "Undefined Terms" - they are either a priori or a posteriori but all things are defined - it should be "Postulates or Common Notions")
- (diff | hist) . . Geometry/Chapter 1; 23:48 . . (+151) . . Sluffs (discuss | contribs) (→Section 1.3 - Undefined Terms: adding Hume and his work On Human Nature - basically the questioning of axioms was a youthful Hume - the point he was illustrating was that the study of human nature may be approached from science)
- (diff | hist) . . Geometry/Chapter 1; 23:22 . . (+24) . . Sluffs (discuss | contribs) (→Deductive Reasoning: adding "that are not parallel will intersect" to "it can be used to deduce that two different lines intersect in at most one point." - in the sense of extended without limit)
- (diff | hist) . . m Geometry/Chapter 1; 23:15 . . (+6) . . Sluffs (discuss | contribs) (→Section 1.2 - Reasoning: Chicago Manual of Styleː spell non-technical numerals below one-hundred)
- (diff | hist) . . Geometry/Chapter 1; 23:13 . . (-25) . . Sluffs (discuss | contribs) (→Section 1.2 - Reasoning: removed Wikipedia link to Baseball article - keep focus on geometry)
- (diff | hist) . . Geometry/Chapter 1; 23:09 . . (-18) . . Sluffs (discuss | contribs) (→Section 1.1 - Introduction: tightened sentence - no need for the demonstrative pronoun "that" - I'm not sure if it is "his method" - many of the proofs were common knowledge - I thought he was the first to order them)
- (diff | hist) . . m Geometry/Chapter 1; 23:01 . . (-2) . . Sluffs (discuss | contribs) (→Section 1.1 - Introduction: no need for speech marks - no emphasis needed)
- (diff | hist) . . Geometry/Chapter 1; 22:59 . . (-2) . . Sluffs (discuss | contribs) (→Section 1.1 - Introduction: rewrote "In the book, Euclid started with some basic concepts. He built upon those concepts..." - "In this book Euclid provides methods using just a compass, ruler and a protractor to prove geometrical statements.")
- (diff | hist) . . Geometry/Chapter 1; 22:38 . . (-4) . . Sluffs (discuss | contribs) (→Section 1.1 - Introduction: removed speech marks from "proof" - not needed)
- (diff | hist) . . Geometry/Chapter 1; 22:37 . . (-29) . . Sluffs (discuss | contribs) (→Section 1.1 - Introduction: removing Wikipedia links - same reason as before)
- (diff | hist) . . Geometry/Chapter 1; 22:28 . . (-25) . . Sluffs (discuss | contribs) (→Section 1.1 - Introduction: Removed speech marks on the first word of a paragraph - not needed - also there is no need to link to the Wikipedia article - this book can go way beyond an article)
- (diff | hist) . . Geometry/Chapter 1; 22:22 . . (-2) . . Sluffs (discuss | contribs) (→Section 1.1 - Introduction: removed brackets - not needed - the sentence is fine - shouldn't how Eratosthenes measured the Earth be included - wasn't it quite a distance between the well and the other point)
- (diff | hist) . . Geometry/Chapter 1; 22:12 . . (+5) . . Sluffs (discuss | contribs) (→Section 1.4 - Axioms/Postulates: rewrite - the paragraph "Undefined Terms" is very abstract - wouldn't it be better to go straight to the Axioms)
- (diff | hist) . . Geometry/Chapter 2 [review]; 00:58 . . (-1) . . 2602:30a:2cbe:8760:9dc6:f173:46cd:e96f (discuss) (→Two-Column Proofs)