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" ... 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. "
A Glance at the Physical Sciences; Or The Wonders of Nature,: In Earth, Air ... - 200. lappuse
autors: Samuel Griswold Goodrich - 1844 - 352 lapas
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A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - 1811 - 406 lapas
...be proved, or something required to be done ; and is accordingly either a Theorem or a Problem. 6. A Theorem is a demonstrative proposition; in which...when it is said that, 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...
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A Course of Mathematics: For the Use of Academies as Well as Private Tuition

Charles Hutton - 1812 - 620 lapas
...be proved, or something required to be done ; and is accordingly cither a Theorem or a Problem. 6. A Theorem is a demonstrative proposition ; in which...when it is said that, 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...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1820 - 352 lapas
...equations, though they may not be presented to us under the algebraic forms. Thus the proposition, that the sum of the three angles of a triangle is equal to two right angles, (Euc. 32. 1.) may be demonstrated, either in common language, or by means of the signs used...
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A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - 1822 - 616 lapas
...be proved, or something required to be done ; and is accordingly either a Theorem or a Problem. 6. A Theorem is a demonstrative proposition ; in which...when it is said that, 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...
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The New Practical Builder and Workman's Companion, Containing a Full Display ...

Peter Nicholson - 1823 - 210 lapas
...; but the sum of the two angles BAC, BAD, is equal to two right angles (theorem 1) ; therefore the sum of the three angles of a triangle is equal to two right angles. 80. COROLLARY 1. — If two angles of one triangle be equal to two angles of another triangle,...
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Dictionary of the Mathematical and Physical Sciences, According to the ...

James Mitchell - 1823 - 666 lapas
...of a triangle is less than the sum, but greater than the difference of the other two sides. 3. Tlie sum of the three angles of a triangle is equal to two right angles; and the external angle formed by producing one of its sides is equal to the sum of the t\vu...
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A Course of Mathematics for the Use of Academies: As Well as ..., 1. sējums

Charles Hutton - 1825 - 608 lapas
...proved, or something required to be done ; and is accordingly either a Theorem or a Problem. 6. .1 Theorem is a demonstrative proposition ; in which...when it is said that, 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...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1827 - 352 lapas
...equations, though they may not be presented to us under the algebraic forms. Thus the proposition, that the sum of the three angles of a triangle is equal to two right angles, (Euc. 32. 1.) may be demonstrated, either in common language, or by means of the signs used...
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Elements of the Geometry of Planes and Solids: With Four Plates

Ferdinand Rudolph Hassler - 1828 - 180 lapas
...of the line, which have been proved to be together, equal to two right angles; therefore, also, the sum of the three angles of a triangle is equal to two right angles; as was to be demonstrated. Carol. When two angles of a triangle are given, the third angle...
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A Course of Mathematics: For the Use of Academies as Well as ..., 1. sējums

Charles Hutton - 1831 - 632 lapas
...demonstrated, or something required to be done ; and is accordingly cither a Theorem or 'a Problem. 6. A Theorem is a demonstrative Proposition ; in which...required to be proved. Thus, when it is said that, The sun of the three angles of a plane triangle is equal to two right angles, that is a Theorem, the truth...
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