| 1879 - 636 pages
...of the same number n to the bases a and b. EUCLID (BOOKS I.-IV. AND VI.). Time allowe-i, 3 hours. 1. **If from the ends of the side of a triangle there be...lines to a point within the triangle, these shall be** Ie.-> than the other two sides of the triangle, but shall contain * greater angle. 2. Triangles upon... | |
| Edward Harri Mathews - 1879 - 94 pages
...line which meets BC in D; show. that BA is greater than BD and CA is greater than C D. Section III. 1. **If from the ends of the side of a triangle there be...lines to a point within the triangle, these shall** together be less than the other two sides of the triangle, but shall contain a greater angle. The sum... | |
| Great Britain. Parliament. House of Commons - Great Britain - 1879 - 632 pages
...q of the same number n to the bases a and b. EUCLID (BOOKS I.-IV. AND VI.). Time allowed, 3 hours. **If from the ends of the side of a triangle there be drawn** t\vo straight lines to a point within the triangle, these shall be less than the other two sides of... | |
| Euclides, James Hamblin Smith - Euclid's Elements - 1879 - 378 pages
...the point of bisection. PROPOSITION XXI. THEOREM. If, from the ends of the side of a triangle, iliere **be drawn two straight lines to a point within the triangle; these** will be together less than the other sides of the triangle, but mil contain a greater angle. Let ABC... | |
| T S. Taylor - 1880 - 152 pages
...THEOREM (Euclid I. 21). Repeat. — The enunciations of Euc. I. 20, and I. 16. General Enunciation. **If from the ends of the side of a triangle there be...of the triangle, but shall contain a greater angle.** TJieorem (Euclid I. 21). The same, in tabular form — GIVEN. REQUIRED. (a) A triangle (V) Two straight... | |
| Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...greater than AC, and BC, CA greater than AB. Wherefore, any two sides &c. QED PROPOSITION 21. THEOREM. **If from the ends of the side of a triangle there be...less than the other two sides of the triangle, but** thall contain a greater angle. Let ABC be a triangle, and from the points B, C, the ends of the side... | |
| Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...centre of the hexagon from the axis about which it revolves. EUCLID. 1. Prove that if from the ends of a **side of a triangle there be drawn two straight lines...of the triangle, but shall contain a greater angle.** Is it necessary for the truth of this proposition that both lines shall be drawn from the extremities... | |
| 1880 - 594 pages
...one another. What is a corollary? Give the corollary to this proposition. 2. If from the ends of a **side of a triangle there be drawn two straight lines...of the triangle, but shall contain a greater angle.** What is the construction in this proposition? THIRD (OR FOURTH) YEAR. Arithmetic. — MALES. — i.... | |
| Education Ministry of - 1880 - 248 pages
...equal to one another. What proposition in Euclid is the converse of this ? 2. If from the ends of one **side of a triangle there be drawn two straight lines to a point within the triangle, these shall be** together less than the other two sides, but shall contain a greater angle. 3. The opposite sides and... | |
| James Russell Soley - Naval education - 1880 - 346 pages
...Into how many parts is it possible, by means of Euclid's constructions, to divide a. right angle ? 2. **If from the ends of the side of a triangle there be drawn two straight lines to** n. point within the triangle, these straight lines shall be less than the other two sides of the triangle.... | |
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