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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 ... - Page 22
by Euclid, Robert Simson - 1829 - 516 pages

## The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...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 pages
...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 - Trigonometry - 1799 - 374 pages
...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 - Trigonometry - 1804 - 530 pages
...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 - Mathematics - 1806 - 320 pages
...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 - Geometry, Plane - 1809 - 522 pages
...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 pages
...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 - Circle-squaring - 1819 - 350 pages
...&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...