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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 ... - Σελίδα 22
των Euclid, Robert Simson - 1829 - 516 σελίδες
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 534 σελίδες
...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...

The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 σελίδες
...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...

The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 374 σελίδες
...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...

The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804 - 530 σελίδες
...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...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 σελίδες
...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...

Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - 1809 - 522 σελίδες
...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...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 σελίδες
...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...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 350 σελίδες
...&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...

Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 σελίδες
...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...

The Youth's instructer [sic] and guardian, Τόμος 14

1854 - 1112 σελίδες
...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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