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Bøker Bok 4150 av 170ANY 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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The Elements of Geometry, Symbolically Arranged

1846
...shown, that Prop. 14. L BCG or L ACD > L ABC. Therefore, if one side, &c. PROP. XVI. THEOR. 17. IEu. Any two angles of a triangle are together less than two right angles. Let ABC be any ^, any two of its L s are together less than 2 rt. /_ s. B CD Produce BC to D. Prop. is. '.' ext. L...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1847 - 317 sider
...be demonstrated that the angle BCG, that is (15. 1.), the angle ACD; is greater than the angle ABC. PROP. XVII. THEOR. Any two angles of a triangle are...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...
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847
...QED COR. — A circle cannot cut a st. line in more pts. than two. PROP. XVII. THEOR. GEN. ENUN. — Any two angles of a triangle are together less than two right angles. PART. ENUN. — Let ABC be any A. Then any two of its Z s are together less than two rt. Z8. DEMONST....
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Introduction to lineal drawing and mensuration

Henry Pickton - 1847 - 48 sider
...sides of a triangle taken together are greater than the third side. (See EUCLID, Book I. Prop, xx.) 5. Any two angles of a triangle are together less than two right angles. (See EUCLID, Book I. Prop, xxii.) 6. Triangles on the same base and between the same parallels are...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...produced, the exterior angle is greater than either of the interior opposite angles. PROP. XVII. THEOREM. Any two angles of a triangle are together less than two right angles. PROP. XVIII. THEOREM. The greater side of every triangle is opposite to the greater angle. PROP. XIX....
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Minutes of the Committee of Council on Education, Volum 1

Great Britain. Committee on Education - 1850
...been made to it ? 3. Distinguish between a direct and indirect demonstration. Section 2. 1. Show that any two angles of a triangle are together less than two right angles. •2. Draw a straight line through a given point parallel to a given straight line. 3. Show that in...
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Annual Report of the Commissioners ...

1851
...had he ? 14 1 Geometry and Mensuration. 1. Bisect a given finite straight line, _ 16 _ 2. Prove that any two angles of a triangle are, together, less than two right angles, . . -, J5Examination Questions — continued. Total Number of Men Examined. Number of Satisfactory...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852
...less than the interior angle which is adjacent to it, as may be seen in the annexed figures.] PEOP. XVII. THEOR. Any two angles of a triangle are together...because ACD is the exterior angle of the triangle ABC, « ""c D BOOK I. ACD is greater* than the interior and • XT ii opposite angle ABC ; to each of these...
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The Elements of Euclid [book 1] for beginners, by J. Lowres

Euclides - 1852
...(Prop. 15.) ; therefore CBD is also greater than CAB. Which was to be demonstrated. PROP. ХVII. THEOB. 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 the side AC to D...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich, Thomas Stephens Davies, Stephen Fenwick, William Rutherford - 1853
...(15. i.), the angle ACD, is greater than the angle ABC. Therefore, if one side, etc. QED PROPOSITION XVII. THEOR. Any two angles of a triangle are together...its angles together are less than two right angles. triangle ABC, ACD is greater (16. i.) than the interior and opposite angle ABC ; to each of these add...
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