 | Moffatt and Paige - 1879 - 428 sider
...is necessary to stipulate that the given straight line must be of unlimited length. (5) Prove that any two angles of a triangle are together less than two right angles. (6) If one side of a triangle be produced, the exterior angle is greater than either of the interior... | |
 | Euclides, Frederick Burn Harvey - 1880 - 178 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.... | |
 | 1880 - 900 sider
...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 - 152 sider
...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 - 160 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... | |
 | 1880 - 922 sider
...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 - 426 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 - 286 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 - 152 sider
...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 - 528 sider
...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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ANY two angles of a triangle are together less than two right angles. 
