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Bøker Bok 6170 av 164ANY two angles of a triangle are together less than two right angles.
" ANY two angles of a triangle are together less than two right angles. "
The Elements of Euclid - Side 20
av Euclid - 1838 - 416 sider
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...that the angle BCG (or Us equal ACD), is greater than the angle ABC. PROPOSITION 17.— THEOREM. A ny two angles of a triangle are together less than two right angles. (References— Prop. I. 13, 16; ax. 4.) Hypothesis. — Let ABC be any triangle. Sequence. — Any...
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Euclid's plane geometry, practically applied; book i, with explanatory notes ...

Henry Green - 1863
...Therefore if one side of a triangle be produced, &e. QED Pitop. 17. — THEOE. (converse of Ax. 12.) Any two angles of a triangle are together less than two right angles. Con.— Pst. 2, DEJI.— P. 10, Ax. 4, P. 18. Let ABC be a triangle ; then any two /.s in it, as A...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Robert Potts - 1864
...greater than the angle ABC. Therefore, if one side of a triangle, &c. QED PROPOSITION XVII. THEOREM. Any two angles of a triangle are together less than two right angles. Let ABC be any triangle. Then any two of its angles together shall be less than two right angles. Produce any side BC to D....
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Robert Potts - 1864
...greater than the angle ABC. Therefore, if one side of a triangle, &c. QED PROPOSITION XVII. THEOREM. Any two angles of a triangle are together less than two right angles. Let ABC be any triangle. Then any two of its angles together shall be less than two right angles. Produce any side BC to D....
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Elements of plane geometry, book i, containing nearly the same propositions ...

1865
...demonstrated that the angle BCG, that is (7) the angle ACD, is greater than the angle ABC. PROPOSITION XVH. THEOR. Any two angles of a triangle are together less...angles. Let ABC be any triangle, any two of its angles are together less than two right angles. Produce BC to D, and because ACD is the exterior angle of...
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The college Euclid: comprising the first six and the parts of the eleventh ...

Alexander Kennedy Isbister - 1865
...prodnced, the exterior angle is greater than either of the interior opposite angles . . .1. 16. 7. Any two angles of a triangle are together less than two right angles . . . . . . . . . I. 17. 8. If a side of any triangle be prodnced, the exterior angle is equal to the...
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Loftus's inland revenue officer's manual

1865
...right angle ¡ it cannot have more than one, as it is proved in Euclid, Book I., Prop. 17, that « Any two angles of a triangle are together less than two right angles. An obtuse-angled triangle has one of its angles an obtuse angle. An acute-angled triangle has all its...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 sider
...ACD, is greater than the angle ABC. [I. 15. Wherefore, if one side &c. QED PROPOSITION 17. THEOREM. Any two angles of a triangle are together less than two right angles. Let ABC be a triangle : any two of its angles are together less than two right angles. Produce BC to D. Then because...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 sider
...or theorem; as for example, To describe an equilateral triangle on a given finite straight line, or Any two angles of a triangle are together less than two right angles. After the general enunciation follows the discussion of the proposition. First, ,the enunciation is...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 sider
...greater than the angle ABC. Therefore, if one side of a triangle, &e. QED PROPOSITION XVII. THEOREM. Any two angles of a triangle are together less than two right angles, Let ABC be any triangle. Then any two of its angles together shall be less than two right angles. A Produce any side BC to D....
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