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" ANY two angles of a triangle are together less than two right angles. "
The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... - Seite 22
von Euclid, Robert Simson - 1829 - 516 Seiten
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 534 Seiten
...Therefore, if one fide, &c. Q;.ED PROP. XVII. THEO R. ANY two angles of a triangle are together lefs than two right angles. Let ABC be any triangle ; any two of its angles together are lefs than two right angles. Produce BC to D ; and becaufe ACD is the exterior angle of the triangle...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 Seiten
...Therefore, if one fide, &c. Q^ ED A PROP. XVII. THEO R. NY two angles of a triangle arc together lefs than two right angles. Let ABC be any triangle ; any two of its angles together are lefs than two right angles. Produce BC to D ; and becaufe ACD is the exterior angle of the triangle...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 374 Seiten
...Q^ED b i5. i. A a i6. i. b i3. i. PROP. XVII. THEOR. NY two angles of a triangle are together lefs than two right angles. Let ABC be any triangle ; any two of its angles together are lefs than two right angles. Produce BC to D ; and becaufe ACD is the exterior angle of the triangle...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804 - 530 Seiten
...therefore if one fide, &c. Q^ ED A PROP. XVII. THEOR. NY two angles of a triangle are together lefs than two right angles. Let ABC be any triangle ; any two of its angles together are lefs than two tight angles. Produce BC to D; and becaufe ACD is the exterior angle of the triangle...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 Seiten
...BCG, that if*b -the angle ACD, is greater than the angle ABC. Therefore, if one side, &c. Q. E, D. PROP. XVII. THEOR. ANY two angles of a triangle are...less than two right angles. Let ABC be any triangle j any two of its angles together are less than two right angles. Produce BC to D; and because ACD is...
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Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - 1809 - 522 Seiten
...vertical angle BCF (Def. 10.), and hence BCF must be greater than either the angle CBA or CAB. PROP. XI. THEOR. Any two angles of a triangle are together less than two right angles. The two angles BAC and BCA of the triangle ABC are together less than two right angles. For produce...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 Seiten
...that the angle BCG, that is*, the angle ACD, is greater than the angle ABC. Therefore, if one side,&c. QED PROP. XVII. THEOR. ANY two angles of a triangle are together less than two right angles. Let ABC beany triangle;any two of its angles together are less than two right angles. Produce BC to D ; and...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 350 Seiten
...&c. Q, ED PROP. XVII. THEOR. Jlny too angles of a triangle are together less than two right angle's. Let ABC be any triangle ; any two of its angles together are less than two right angles. Produce BC'to D ; and because ACD is the exterior angle of the triangle ABC, ACD is greater (16. 1.) than the...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 Seiten
...BCG, that is (15. 1.), the angle ACD, is greater than the angle ABC. Therefore, if one side, &c. Q, ED PROP. XVII. THEOR. - Any two angles of a triangle are together less than' two right angle*. Let A BC be any triangle ; any two of its angles together are less than two right angles. Produce...
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The Youth's instructer [sic] and guardian, Band 14

1854 - 1112 Seiten
...proved hereafter, it is here inserted in order to facilitate the theory of parallel lines. Cor. 2. Any two angles of a triangle are together less than two right angles. For either is less than the supplement of the other. Cor. 3. If any angle of a triangle is right or...
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