 | Middle-class education - 1857 - 70 pages
...What figure would be formed by placing two equilateral triangles base to base ? 81. 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... | |
 | sir Thomas Dyke Acland (11th bart.) - 1858 - 270 pages
...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 geometrically... | |
 | Euclides - 1858 - 248 pages
...angle. CONSTRUCTION. — Pst. 2. A terminated st. line may be produced. DEMONSTRATION. — P. 20. Any two sides of a triangle are together greater than the third side. Ax. 4. If equals be added to unequals, the sums will be unequal. P. 16. If one side of a triangle be... | |
 | 1858 - 380 pages
...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 the... | |
 | Elias Loomis - Conic sections - 1858 - 256 pages
...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 sum... | |
 | Education - 1859 - 414 pages
...the angles on the other side of the base shall be equal. 186 (II.)— SCSS. 2. GG3 3. Any JL 3. Any two sides of a triangle are together greater than the third side. Madras ^e difference of any two sides is always less than the third side. " 4. The three interior angles... | |
 | Sandhurst roy. military coll - 1859 - 672 pages
...explain how it is used to determine the height of a mountain. GEOMETRY. I. ToDHUNTEB, ESQ., MA 1. Any two sides of a triangle are together greater than the third side. 2. The opposite sides and angles of parallelograms are equal to one another, and the diameter bisects... | |
 | Royal college of surgeons of England - 1860 - 332 pages
...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,... | |
 | Euclides - 1862 - 140 pages
...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... | |
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Any two sides of a triangle are together greater than the third side. 
