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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. "
A Course of Mathematics ...: Composed for the Use of the Royal Military ... - Pągina 2
per Charles Hutton - 1811
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A Course of Mathematics: In Two Volumes : for the Use of Academies ..., Volum 1

Charles Hutton - 1816 - 610 pągines
...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...
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A Course of Mathematics: In Two Volumes. For the Use of Academies ..., Volum 1

Charles Hutton - 1818 - 646 pągines
...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...
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A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - 1822 - 616 pągines
...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...
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A Course of Mathematics: For the Use of Academies as Well as ..., Volum 1

Charles Hutton - 1831 - 660 pągines
...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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1835 - 336 pągines
...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...
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Introductory Discourse, and the Lectures Delivered Before the ..., Volum 5

American Institute of Instruction - 1835 - 318 pągines
...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....
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 332 pągines
...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...
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An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - 1837 - 216 pągines
...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....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 332 pągines
...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...
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A Glance at the Physical Sciences; Or The Wonders of Nature,: In ..., Volum 1

Samuel Griswold Goodrich - 1844 - 370 pągines
...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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