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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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## Euclidian Geometry

Francis Cuthbertson - 1874 - 349 sider
...shewn, if AC be produced to G, that L BCG is > the L ABC. But /^CZ?is= LBCG; (1.6) Hence it follows that Any two angles of a triangle are together less than two right angles. Let ^.5C be a A. Then shall any two of its angles, as ABC »nd ACB, be together < two right angles. Produce...
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## THE QUADRATURE OF THE CIRCLE, THE SQUARE ROOT OF TWO, AND THE RIGHT-ANGLED ...

WILLIAM ALEXANDER MYERS - 1874
...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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## A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874
...mentioned at the end of the proposition, and show that ACD is greater than ABCPROPOSITION 17. THEOREM. Any two angles of a triangle are together less than two right angles. i Let ABC be any triangle : any two of its angles ' • are together loss than two right angles. 0...
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## Examination Christmas,1875

...all equal, each of the lines is in the same line with one, and at right angles to two of the others. Any two angles of a triangle are together less than two right angles. 3. Write out the three postulates of Euclid. The opposite sides of every quadrilateral rectangular...
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## SYLLABUS OF PLANE GEOMETRY

1876
...sides those are equal which are opposite to equal angles. [By Superposition and Theor. 9.] THEOR. 18. Any two angles of a triangle are together less than two right angles. COR. i. If a triangle has one right angle or obtuse angle, its remaining angles are acute. COR. 2....
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## Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876
...another, and likewise those which are terminated in the other extremity, equal to one another. 17. Any two angles of a triangle are together less than two right angles. .. . If from the ends of one side of a triangle, there be drawn two straight lines to , a point within...
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## Annual Report

1876
...Define the terms , an equilateral triangle, an isosceles triangle, a scalene triangle. 4. Prove that any two angles of a triangle are, together, less than two right angles. Л. PYoru a given point draw a straight line equal to a given straight line. FIRST AND SECOND DIVISION....
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## Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1876 - 349 sider
...line ; the perpendicular will fall on the side of the acute angle. PROPOSITION XVII. THEOREM. A ny two angles of a triangle are together less than two right angles. 0 Let ABC be any A . Then must any two of its is be together less than two rt. L s. Produce BC to D....
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## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 403 sider
...than the angle ABC. Therefore, if one side of a triangle, &c. QED PROPOSITION XVIL THEOREM. Any tieo angles of a triangle are together less than two right angles, Let ABCbe any triangle. Then any two of its angles together shall be less than two right angles. Produce...
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## Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 sider
...&c. QED Proposition 17. — Theorem. Any two angles of a triangle are toyetJier less tJian two rigid angles. Let ABC be any triangle. Any two of its angles together shall be less than two right angles. CONSTRUCTION. — Produce BC to D. PROOF. — Because ACD is the...
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