Søk Bilder Maps Play YouTube Nyheter Gmail Disk Mer »
Logg på
 Bøker Bok 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
Uten tilgangsbegrensning - Om denne boken ## The Elements of Euclid

Euclid - 1838 - 416 sider
...(15. 1.) the angle ACD, is greater than the angle ABC. Therefore, if one side, &c. Q,. ED PROP. XVII. THEOR. ANY two angles of a triangle are together less...right angles. Let ABC be any triangle ; any two of A its angles together are less than two right /\ angles. / Produce BC to D ; and because ACD is / the...
Uten tilgangsbegrensning - Om denne boken ## The figures of Euclid with the enunciations, as printed in Euclid's Elements ...

Euclides - 1840
...triangle is produced, the external angle is greater than either of the internal remote angles. PROP. XVII. THEOR. Any two angles of a triangle are together less than two right angles. cu PROP. XVIII. THEOR. If two sides of a triangle are unequal, the angle subtended by the greater side...
Uten tilgangsbegrensning - Om denne boken ## The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 351 sider
...is,* * 15. ' the angle ACD, is greater than the angle ABC. Therefore, if one side, &c. QED PROP. XVII. THEOR. Any two angles of a triangle are together less...ABC be any triangle; any two of its angles together shall be less than two right angles. Produce BC to D; and because ACD is the exterior angle of the...
Uten tilgangsbegrensning - Om denne boken ## Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...(15. 1.), the angle ACD, is greater than the angle ABC. Therefore, if one side, &c. QED PROP. XVII. THEOR. ANY two angles of a triangle are together less...angles together are less than two right angles. Produce B c to D ; and because A c D is the exterior angle of the triangle ABC, ACD is greater (16. 1.) than...
Uten tilgangsbegrensning - Om denne boken ## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 317 sider
...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 together less than two right angles. Let ABO be any triangle ; any two of its angles together are less than two right angles. Produce BC to...
Uten tilgangsbegrensning - Om denne boken ## The British Annals of Education for ...: Being The Scholastic ..., Volumer 1-2

1844
...their other angles shall be equal, each to each, viz. those to which the equal sides are opposite. 3. Any two angles of a triangle are together less than two right angles. 4. If a straight line falling upon two other straight lines make the alternate angles equal to one...
Uten tilgangsbegrensning - Om denne boken ## Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 199 sider
...is, * the angle ACD, is greater than the angle ABC. Therefore, if one side, &c. QED PROPOSITION XVII. THEOR. — Any two angles of a triangle are together...is the exterior angle of the triangle ABC, ACD is A • i6. i. greater* than the interior and opposite angle ABC; to each of these add the angle ACB...
Uten tilgangsbegrensning - Om denne boken ## The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 352 sider
...be greater than the interior and remote right angle, which (I. def. 10) is impossible. PROP. XVII. THEOR.* — 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 BC to D. Then,...
Uten tilgangsbegrensning - Om denne boken ## Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845
...than the angle ABC. Therefore, if one side of a triangle, &c. QED PROPOSITION XVII. THEOREM. Any tno 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....
Uten tilgangsbegrensning - Om denne boken ## A system of practical mathematics; being no.xvi. of a new series of school-books

...= the /.ACD, (Prop. 3), is •^ the /.ABC; .-. the /.ACD is ^ either of the /.sCAB or ABC. QED Cor. Any two angles of a triangle are together less than two right angles. PROPOSITION XI. — THEOREM. The greater side of every triangle has the greater angle opposite to it....
Uten tilgangsbegrensning - Om denne boken