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" 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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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....
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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...
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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...
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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...
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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...
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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...
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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....
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - 1882
...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...
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The papers set at the professional preliminary examination

College of preceptors - 1882
...extremity of the base, and have likewise equal those sides which are terminated at the other extremity. 3. Any two angles of a triangle are together less than two right angles. 4. If a straight line fall on two parallel straight lines, it shall make the alternate angles equal...
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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...
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