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" 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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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...The angle ACD is greater than the angle ABC. Therefore if one side, &c. QED PROP. XVII. — THEOREM. Any two angles of a triangle are together less than...its angles together are less than two right angles. A Produce BC to D; and because ACD is the exterior angle of the triangle ABC, (1. 16.) 1. ACD is greater...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 sider
...d, is greater than the angle ab С. Therefore, if one side, &c. QED PROPOSITION XVII. — THEOREM. Any two angles of a triangle are together less than two right angles. LET ab С be any triangle ; any two of its angles together are less than two right angles. Produce b С...
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Orr's Circle of the Sciences: The mathematical sciences

William Somerville Orr - 1854
...actually drawn. In the next place, from the property demonstrated in Proposition XVII., namely, that any two angles of a triangle are together less than two right angles, he knows— what he could not know at an earlier stage of his progress — an important particular...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...From a point without a straight line, only one perpendicular can be drawn to it. PROP. XVII. THEOREM. Any two angles of a triangle are together less than two right angles. Let ABС be any triangle ; any two of its angles are together less than two right angles. Produce B С...
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The Practice of Engineering Field Work, Applied to Land, Hydrographic, and ...

W. Davis Haskoll - 1858 - 324 sider
...two straight lines cut one another, the vertical or opposite angles shall be equal. The 17th, Book I. Any two angles of a triangle are together less than two right angles. The 18th, Book I. The greater side of every triangle is opposite to the greater angle. The 32nd, Book...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858
...reducing them to rectangular figures, these and similar conclusions are of great PROP. 17.— TMEOR. Any two angles of a triangle are together less than two right angles. CONSTRUCTION. — Pst. 2. A st. line may be produced to any length in a st. line. DEMONSTRATION. —...
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The Upper Canada Law Journal and Municipal and Local Courts' Gazette, Volum 4

1858
...truths — its general principles — unchangeable and unchanged. When we enunciate the proposition that any two angles of a triangle are together less than two right angles, we enunciate an absolute truth in mathematics. When we enunciate the proposition that heat is always...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 sider
...greater than the angle ABC. Therefore, if one side of a triangle, &c. QED PKOPOSITION 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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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...therefore the exterior angle ACD is greater than either the angle CAB or ABC. PHOPOSmON XVII. THEOREM. Any two angles of a triangle are together less than two right angles. Given any triangle ABC ; to prove that any two of its angles together are less than two right angles....
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...ACD, (r, 15) ls greater than the angle ABC. Therefore, if one side, &c. QED PROP. XVII. — THEOREM. Any two angles of a triangle are together less than two right angles (References — Prop. i. 13, 16; ax. 4.) Let ABC be any triangle. Then any two of its angles shall...
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