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 Bøker Bok ANY two angles of a triangle are together less than two right angles. The Elements of Euclid - Side 20
av Euclid - 1838 - 416 sider
Uten tilgangsbegrensning - Om denne boken ## The Elements of Geometry, Symbolically Arranged

...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...
Uten tilgangsbegrensning - Om denne boken ## 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...
Uten tilgangsbegrensning - Om denne boken ## 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....
Uten tilgangsbegrensning - Om denne boken ## 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...
Uten tilgangsbegrensning - Om denne boken ## 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....
Uten tilgangsbegrensning - Om denne boken ## Minutes of the Committee of Council on Education, Volum 1

...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...
Uten tilgangsbegrensning - Om denne boken ## 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...
Uten tilgangsbegrensning - Om denne boken ## 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...
Uten tilgangsbegrensning - Om denne boken ## 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...
Uten tilgangsbegrensning - Om denne boken ## The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

...(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...
Uten tilgangsbegrensning - Om denne boken