 | Charles Hutton - 1816 - 610 Seiten
...Definitions, Axioms, Propositions, Theorems, Problems, Lemmas, Corollaries, Scholiums, &c. 4. . / Dijinition is the explication of any term or word in a science...The sum of the three angles of any triangle is equal lo two right angles, this is a Theorem, the truth of which is demonstrated by Geometry. —A set or... | |
 | Charles Hutton - 1818 - 646 Seiten
...Definition ought to be clear, and expressed in words that are common and perfectly well understood. 6. A Proposition is something proposed to be proved,...of which is demonstrated by Geometry. — A set or collector! of such Theorems constitutes a Theory. 7. A. Problem is a proposition or a question requiring... | |
 | Charles Hutton - 1822 - 616 Seiten
...Definition ought to be clear, and expressed in words that are common and perfectly well understood. 6. A Proposition is something proposed to be proved,...collection of such Theorems constitutes a Theory. I. A Problem is a proposition or a question requiring •something to be done ; either to investigate... | |
 | Charles Hutton - 1831 - 660 Seiten
...are common and perfectly well understood. 5. A Proposition is something proposed to be demonstrated, or something required to be done ; and is accordingly...when it is said that, The sum of the three angles of a plane triangle is equal to two right angles, that is a Theorem, the truth of which is demonstrated... | |
 | John Playfair - 1835 - 336 Seiten
...together ; or, two quantities that are each of them equal to a third quantity, are equal to each other. 5. A Theorem is a demonstrative proposition ; in which...it is said that the sum of the three angles of any plane triangle is equal to two right angles, this is called a Theorem ; and the method of collecting... | |
 | American Institute of Instruction - 1835 - 318 Seiten
...his work, this author has pursued a different method in regard to parallel lines, by first proving that the sum of the three angles of any triangle is equal to two right angles ; but the demonstration is tedious and difficult for beginners, and is therefore rarely understood.... | |
 | John Playfair - 1837 - 332 Seiten
...or, two quantities that are each of them equal to a third quantity, are equal to each other. ,. if 5. A Theorem is a demonstrative proposition ; in which...it is said that the sum of the three angles of any plane triangle is equal to two right angles, this is called.a Theorem ; and the method of collecting... | |
 | Benjamin Peirce - 1837 - 216 Seiten
...perpendicular to its base, divides it, by art. 57, into the two equal triangles ABC and ABG. 64. Theorem. The sum of the three angles of any triangle is equal to two right angles. Demonstration. Let ABC (fig. 36) be the given triangle. Produce AC to D, and draw CE parallel to AB.... | |
 | John Playfair - 1842 - 332 Seiten
...together ; or, two quantities that are each of them equal to a third quantity, are equal to each other. 5. A Theorem is a demonstrative proposition ; in which...it is said that the sum of the three angles of any plane triangle is equal to two right angles, this is called a Theorem; and the method of collecting... | |
 | Samuel Griswold Goodrich - 1844 - 370 Seiten
...be demonstrated, or something required to be done, and is accordingly either a theorem or a problem. A theorem is a demonstrative proposition, in which...when it is said that the sum of the three angles of a triangle is equal to two right angles, that is a theorem, the truth of which is demonstrated by geometry.... | |
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The sum of the three angles of any triangle is equal to two right angles, this is a Theorem, the truth of which is demonstrated by Geometry. 
