| 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... | |
| 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... | |
| 1880
...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... | |
| 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... | |
| 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... | |
| 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.... | |
| 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... | |
| 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... | |
| 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... | |
| Marianne Nops - 1882
...is greater than L ABC. Prop. 17. A simple theorem follows this somewhat intricate demonstration : ' **Any two angles of a triangle are together less than two right angles.'** To show this we must compare them with two angles which either are or are together equal to two right... | |
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