 | 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... | |
 | 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 - 238 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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If from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than the other two sides of the triangle, but shall contain a greater angle. Let the two straight lines BD. 
