| sir Thomas Dyke Acland (11th bart.) - 1858
...straight line. What figure would be formed by placing two equilateral triangles base to base ? 31. Prove **that any two sides of a triangle are together greater than the third** side. Is the same proposition true of the angles of a triangle? Give reasons for your answer. 32. Prove... | |
| Thomas Sutton - 1858 - 423 páginas
...Petzval's arrangement ; for it appears that CO is greater than Cm. The proof of this is easy enough. **Any two sides of a triangle are, together, greater than the third,** therefore OC and CA are together greater than AO, and therefore than Km. Take away the common part... | |
| Elias Loomis - 1858 - 234 páginas
...difference. Let two circumferences cut each other in the point A. Draw the radii CA, DA ; then, because **any two sides of a triangle are together greater than the third** side (Prop. VIII., B. I.), CD must be less than the sum of AD and AC. Also, DA must be less than the... | |
| Euclides - 1858
...given difference A D. The figure ABC therefore is the triangle required. PROP. 20.— THEOR. side. **Any two sides of a triangle are together greater than the third** CONSTRUCTION. — Pst. 2. A st. line may be lengthened out in a st. line. P. 3. From the greater line... | |
| 1858
...plane rectilineal angle, and show how to bisect one, that is, to divide it into two equal angles. 2. **Any two sides of a triangle are together greater than the third** side. Is the same proposition true of the angles of a triangle? 3. What is a parallelogram? Prove that... | |
| Thomas Sutton - 1858
...Petzval's arrangement ; for it appears that С 1 is greater than С m. The proof of this is easy enough. **Any two sides of a triangle are, together, greater than the third,** therefore 1 С and С A are together greater than A 1, and therefore than A m. Take away the common... | |
| 1859
...the sides also which subtend, or are opposite to the equal angles, shall be equal to one another. 4. **Any two sides of a triangle are together greater than the third** side. The difference of any two sides of a triangle is always less than the third side. 5. The three... | |
| Sandhurst roy. military coll - 1859 - 1869 páginas
...hour-and-a-half after the rider. What is the distance between the two places ? EUCLID, B. 1, 2, 3. 1. **Any two sides of a triangle are together greater than the third.** 2. The straight lines which join the extremities of equal and parallel straight lines toward the same... | |
| Thomas Lund - 1859 - 362 páginas
...angles. COB. Hence no triangle can have more than one right angle, or one obtuse angle. 38. PROP. XVI. **Any two sides of a triangle are together greater than the third** side. Qlf this be not evident from the fact that the straight line joining any two points is less than... | |
| Robert Potts - 1860 - 361 páginas
...AB ; therefore AC is greater than AB. Wherefore the greater angle, &c. QED PROPOSITION XX. THEOREM. **Any two sides of a triangle are together greater than the third** side. Let ABChe a triangle. Hen any two sides of it together shall be greater than the third side,... | |
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