 | Sandhurst roy. military coll - 1859 - 672 pages
...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... | |
 | Euclides - 1860 - 288 pages
...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;... | |
 | Royal college of surgeons of England - 1860 - 332 pages
...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... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...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 pages
...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 pages
...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 - 172 pages
...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 - Logic - 1862 - 498 pages
...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,... | |
 | Church and social problems - 1885 - 676 pages
...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... | |
 | Euclides - 1863 - 74 pages
...there are more than three species of quantity, — a Lini a Surface, and a Solid. PKOP. 20. — THEOK. Any two sides of a triangle are together greater than the third side. Cos.— Pst. 2, P. 3, Pst. 1.— DEM.— P. 8, Ax. 9, P. 19. E. C. Hyp. Cone. 1. „ 2. „ 3. by Pst.... | |
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Any two sides of a triangle are together greater than the third side. 
