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 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 ## A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - 1879 - 36 sider
...D, and bisect the angle CBD. Show that the two bisecting lines are at right angles. 17. Prove that any two angles of a triangle are together less than two right angles. 18. Give Euclid's definition of a plane rectilineal angle and of a triangle. Prove that the greater...
Uten tilgangsbegrensning - Om denne boken ## Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclid, F. B. Harvey - 1880 - 119 sider
...adjacent angle ACB bisected by CG ; prove that the angle GCF = a right angle. PROP. XVII. THKOREM. Any two angles of a triangle are together less than two right angles. Let ABC be a triangle. Then it is to he proved thai The angles ABO and ACB are together less than two right angles....
Uten tilgangsbegrensning - Om denne boken ## The Popular Science Monthly, Volum 17

1880
...somewhat complicated so-called axiom is only the converse or inverse of proposition seventeen, that " any two angles of a triangle are together less than two right angles," a theorem readily demonstrated from the preceding postulates and axioms. An inverse is usually exceedingly...
Uten tilgangsbegrensning - Om denne boken ## First principles of Euclid: an introduction to the study of the first book ...

T S. Taylor - 1880
...Repeat. — The enunciation of Euc. I. 13, and ot Euc. I. 1 6, and Axiom 4«. General Enunciation. Any two angles of a triangle are together less than two right angles. .Particular Enunciation. Given. — The triangle ABC. Required. — To prove that any two of its angles...
Uten tilgangsbegrensning - Om denne boken ## The Popular Science Monthly, Volum 17

1880
...somewhat complicated so-called axiom is only the converse or inverse of proposition seventeen, that " any two angles of a triangle are together less than two right angles," a theorem readily demonstrated from the preceding postulates and axioms. An inverse is usually exceedingly...
Uten tilgangsbegrensning - Om denne boken ## The student's guide to the University of Durham, with information respecting ...

1880 - 144 sider
...2. Draw a straight line at right angles to a given straight line from a given point in the same. 3. Any two angles of a triangle are together less than two right angles. 4. If two triangles have two sides of the one equal to two sides of the other, each to each, but the...
Uten tilgangsbegrensning - Om denne boken ## The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 400 sider
...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...
Uten tilgangsbegrensning - Om denne boken ## The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1882 - 266 sider
...Const.), AE=EC^. " BE=EFANALYSIS. •(L4,),BAE=ECF, ACD>ECF >ACD>BAC. 30 \ Proposition 19. T1ieorem. — Any two angles of a triangle are together less than two right angles. Let AB C be a triangle ; any two of its angles are together less than two right angles. Produce BC to D....
Uten tilgangsbegrensning - Om denne boken ## The Practice of Navigation: And Nautical Astronomy

Henry Raper - 1882 - 910 sider
...and bisecting AB, it would be proved that the angle ABG, or its equal CBD, is greater than A. 122. Any two angles of a triangle are together less than two right angles. Produce the side BC of the triangle ABC, to D. Then the exterior angle ACD of the triangle is greater...
Uten tilgangsbegrensning - Om denne boken ## University local half-hour examination papers

...double of the square on half the line and of the square on the line between the points of section. 4. Any two angles of a triangle are together less than two right angles. 5. If a straight line be divided into any two parts, the rectangle contained by the whole line and...
Uten tilgangsbegrensning - Om denne boken