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 41876Uten tilgangsbegrensning - Om denne boken
| 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... | |
| 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.... | |
| 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,... | |
| 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... | |
| 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... | |
| 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... | |
| Association for the Improvement of Geometrical Teaching - 1903
...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... | |
| 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... | |
| 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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