| Thomas Lund - 1859 - 362 sider
...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 any... | |
| Sandhurst roy. military coll - 1859 - 1869 sider
...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... | |
| Royal college of surgeons of England - 1860
...Kidsummer, 1863. WEDNESDAY, July 15th,— Morning, 12 to 2. GEOMETRY. Examiner — THE REV. G. FEOST, MA 1. **Any two sides of a triangle are together greater than the third side.** 2. If two triangles have two sides of the one equal to two sides of the other, each to each, but the... | |
| Euclides - 1860
...is not equal to AB ; therefore AC is greater than AB." .* ',", PROPOSITION XX. THEOREM. '•,'. ;r:! **Any two sides of a triangle are together greater than the third side.** Given a triangle ABC ; to prove that any two sides, of it together are greater than the third side;... | |
| Robert Potts - 1860 - 361 sider
...pass through the point A, let it fall otherwise, if possible, as FGDH, and join AF, AG. Then, because **two sides of a triangle are together greater than the third side,** (l. 20.) therefore FG, GA are greater than FA : but FA is equal to FH; (I. def. 15.) therefore FG,... | |
| War office - 1861
...that there is a white ball at each end ? MATHEMATICS. Voluntary Paper, No. II. REV. WN GRIFFIN, MA 1. **Any two sides of a triangle are together greater than the third.** 2. To divide a given straight line into two parts so that the rectangle contained by the whole and... | |
| War office - 1861 - 12 sider
...velocity. How high does it then ascend 1 MATHEMATICS. Afternoon Paper. REV. WN GRIFFIN, MA EUCLID. 1. **Any two sides of a triangle are together greater than the third.** 2. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to... | |
| Euclides - 1862
...to AB ; therefore AC Is greater than AB. Wherefore, in any triangle, &c. QED PROP. XX. — THEOREM. **Any two sides of a triangle are together greater than the third side.** (Eeferences — Prop. i. 3, 5, 19 ; ax. 9.) Let ABC be a triangle. Then any two sides of it together... | |
| P. McGregor - 1862 - 469 sider
...might do so. 41. A straight line is the shortest that can be drawn from one point to another. Hence **any two sides of a triangle are together greater than the third.** 42. Straight lines which intersect or cut one another, lie in different directions, and diverge indefinitely,... | |
| 1885
...nearer the reality of things, when, through the education of my intuition of space, I perceive that **any two sides of a triangle are together greater than the third,** than the brute is, who by blind impulse makes straight for his prey — so long as I believe, in the... | |
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