 | Charles Hutton - Mathematics - 1811 - 406 pages
...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... | |
 | Charles Hutton - Mathematics - 1812 - 620 pages
...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... | |
 | Jeremiah Day - Algebra - 1820 - 352 pages
...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... | |
 | Charles Hutton - Mathematics - 1822 - 616 pages
...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... | |
 | Peter Nicholson - Architecture - 1823 - 210 pages
...; 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,... | |
 | James Mitchell - Mathematics - 1823 - 666 pages
...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... | |
 | Charles Hutton - Mathematics - 1825 - 608 pages
...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... | |
 | Jeremiah Day - Algebra - 1827 - 352 pages
...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... | |
 | Ferdinand Rudolph Hassler - Geometry - 1828 - 180 pages
...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... | |
 | Charles Hutton - Mathematics - 1831 - 632 pages
...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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... 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. 
