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" Any two angles of a triangle are together less than two right angles. Let ABC be any triangle ; any two of its angles together are less than two right angles. "
The first two books of the Elements of Euclid, with additional figures ... - Σελίδα 37
των Euclides - 1852
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 σελίδες
...therefore if one fide, &c. Q._E. D. PROP. XVII. THEOR. AN Y 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, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 520 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 - 520 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 - 351 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
...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 - 311 σελίδες
...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 together...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...

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

Euclid, Robert Simson - 1806 - 518 σελίδες
...IS. 1. that is d, 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. A Let ABC be any triangle ; any two of its angles together are less than two right angles. Produce...

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

Sir John Leslie - 1809 - 493 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 ...

Euclid - 1810 - 518 σελίδες
...BCG, that is d, the angle ACD, is greater than the angle ABC. ThereTore, if one side, &c. QED PROP. XVII. THEOR. ANY two angles of a triangle are together...than two right angles. Let ABC be any triangle; any A . two of its angles together are less than two right angles. . Produce BC to D; and because ACD is...

The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814
...right angles. two of its angles together are less than two right angles. Let ABC be any triangle; any Produce BC to D; and because ACD is the exterior angle of the triangle ABC, ACD is fie i,greater 3 than the interior and., opposite angle ABC; to each of J these add the angle...




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