 | Thomas Lund - 1859 - 390 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 - 672 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 - 332 sider
...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 - 288 sider
...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 - 380 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 - 714 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... | |
 | War office - 1861 - 260 sider
...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... | |
 | Euclides - 1862 - 140 sider
...equal to AB. 7. Therefore AC is greater than AB. Conclusion. — Therefore, the greater angle, &c. QED PROPOSITION 20.— THEOREM. Any two sides of a triangle are together greater than the third side. (References— Prop. I. 3, 5, 19; ax. 9.) Hypothesis. — Let ABC be a triangle. Sequence. — Any... | |
 | 1906 - 502 sider
...5, 7, and 9 units, make the construction in a carefully drawn diagram. It is proved in Geometry that any two sides of a triangle are together greater than the third side ; what is the corresponding property of three forces in equilibrium at a point ? The actual arrangement... | |
 | Hugh MacColl - 1906 - 168 sider
...on lines not very dissimilar. A striking instance is Euclid's demonstration of the proposition that any two sides of a triangle are together greater than the third — a proposition which the Epicureans derided as patent even to asses, who always took the shortest... | |
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Any two sides of a triangle are together greater than the third side. 
