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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 three books of Euclid's Elements of geometry, with theorems and ... - Side 17
av Euclid, Thomas Tate - 1849 - 108 sider
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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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## The practice of navigation and nautical astronomy. [With] Tables ..., Volum 26

Henry Raper - 1870
...and bisecting AB, it would be proved that the angle ABG, or its equal CBD, is greater than A. 122. Any two angles of a triangle are together less than two right angles. Produce the side BC of the triangle ABC, to D. Then the exterior angle AC D of the triangle is greater...
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## The Elements of Plane and Solid Geometry

Henry William Watson - 1871 - 285 sider
...producing any one side of a triangle, is greater than either of the interior and non-adjacent angles, and any two angles of a triangle are together less than two right angles. p. , Let ABC be a triangle, and let the side BC be produced to D, then i st. The exterior angle ACD...
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## Elements of geometry, containing the first two (third and fourth ..., Del 1

Euclides - 1871
...perpendicular be drawn to the given line; the perpendicular will fall on the side of the acute angle. Any two angles of a triangle are together less than two right angles. , 3 c -D Let ABC be any A . Then must any two of its L s be together less than two rt. L», Produce...
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## The Elements of Plane and Solid Geometry

Henry William Watson - 1872 - 285 sider
...producing any one side of a triangle, is greater than either of the interior and non-adjacent angles, and any two angles of a triangle are together less than two right angles. Let ABC be a triangle, and let the side BC be produced to D, then 1 st. The exterior angle AC D shall be greater...
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## Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 349 sider
...given line; the perpendicular will fall on the side of the acute angle. PROPOSITION XVII. THEOREM. Any two angles of a triangle are together less than two right angles. 3 CU Let ABC be any A . ' Then must any two of its is be together less than two rt, L s. Produce BC...
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## The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873
...bisected, it may be demonstrated that the angle BOG, that is the angle ACD, is greater than ABC. XVII. — Any two angles of a triangle are together less than...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 Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...greater than the angle ABC. Therefore, if one side of a triangle, &c. QED PROPOSITION 17.— 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. B c D Construction. Produce...
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## Pure mathematics, Volum 1

Edward Atkins - 1874
...equal ACD), is greater than the angle ABC. Therefore, if one side, &c. QED Proposition 17. — Theorem. Any two angles of a triangle are together less than two right angles. Let ABC be any triangle. CONSTRUCTION. — Produce BC to D. PROOF. — Because ACD is the ex- A ^ ABC terior angle of the triangle...
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