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The enunciation of a Theorem consists of two parts, — the hypothesis, or that which is assumed, and the conclusion, or that which is asserted to follow therefrom. Thus in the typical Theorem, If A is B, then C is D, (i), the hypothesis is that A is...
SYLLABUS OF PLANE GEOMETRY - Side 4
1876
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The Elements of Plane and Solid Geometry: With Numerous Exercises

Edward Albert Bowser - 1890 - 393 sider
...or that which is asserted to follow therefrom. Thus, in the typical theorem, If A is B, then C is D, the hypothesis is that A is B, and the conclusion that C is D. 43. The enunciation of a problem consists of two parts: the data, or things supposed to be given; and...
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Syllabus of Geometry

George Albert Wentworth - 1896 - 50 sider
...or falsity of any statement is logically established. 67. A theorem is a statement to be proved. 68. A theorem consists of two parts : the hypothesis,...the conclusion, or that which is asserted to follow from the hypothesis. 69. An axiom is a statement the truth of which is admitted without proof. 70....
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Plane and Solid Geometry

James Howard Gore - 1898 - 210 sider
...curves as may be required to prove the truth of a theorem, or to solve a problem. 25. The Enunciation of a theorem consists of two parts: the Hypothesis, or...Conclusion, or that which is asserted to follow therefrom. POSTULATES. 26. 1. A straight line can be drawn between any two points. 2. A straight line can be produced,...
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Plane Geometry

George Albert Wentworth - 1899 - 256 sider
...with the aid of ruler and compasses. 3. The proof that the figure satisfies all the conditions. 28. A theorem consists of two parts : the hypothesis,...the conclusion, or that which is asserted to follow from the hypothesis. 29. The contradictory of a theorem is a theorem which must be true if the given...
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Plane and Solid Geometry

George Albert Wentworth - 1899 - 473 sider
...with the aid of ruler and compasses. 3. The proof that the figure satisfies all the conditions. 28. A theorem consists of two parts : the hypothesis,...the conclusion, or that which is asserted to follow from the hypothesis. 29. The contradictory of a theorem is a theorem which must be true if the given...
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Plane Geometry

Edward Brooks - 1901 - 266 sider
...of the angles of a plane triangle equals two right angles." 10. A theorem is often stated so that it consists of two parts : the hypothesis, or that which is assumed ; and the conclusion, or that which follows from the hypothesis. Thus, " If A is equal to B, C is equal to D." 11. The converse of a theorem...
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The Elements of Plane Geometry

...propositions. These known propositions may themselves be Theorems or Axioms. 4. The enunciation of a Theorem consists of two parts — the hypothesis,...hypothesis is that A is B, and the conclusion, that Cis D. From this Theorem it necessarily follows that : If C is not D, then A is not B, (ii). Two such...
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Plane and Solid Geometry

George Albert Wentworth - 1904 - 473 sider
...with the aid of ruler and compasses. 3. The proof that the figure satisfies all the conditions. 28. A theorem consists of two parts : the hypothesis,...the conclusion, or that which is asserted to follow from the hypothesis. 29. The contradictory of a theorem is a theorem which must be true if the given...
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Plane Geometry

John Wesley Young, Albert John Schwartz - 1915 - 223 sider
...this text, a knowledge of the meaning of these terms being assumed. 150. Hypothesis and conclusion. A theorem consists of two parts : the hypothesis, or that which is assumed or given ; and the conclusion or that which is asserted to follow from the hypothesis. FORMAL PROOF...
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