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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. "
Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ... - Page 20
by Euclid - 1845 - 199 pages
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Euclid's Elements of Geometry, Books 1-6

Henry Martyn Taylor - 1893 - 486 pages
...point such that the difference of its distances from two fixed points is a maximum. PROPOSITION 21. If from the ends of the side of a triangle there be...two straight lines to a point within the triangle, the sum of these lines is less than the sum of the other two sides of the triangle, but they contain...
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Euclid's Elements of Geometry, Books 1-6; Book 11

Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...point such that the difference of its distances from two fixed points is a msximum. PROPOSITION 21. If from the ends of the side of a triangle there be...two straight lines to a point within the triangle, the sum of these lines is less than the sum of the other two sides of the triangle, but they contain...
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Competition for Situations as Assistant in the British Museum: And ...

Great Britain. Civil Service Commission - Civil service - 1896 - 112 pages
...sequence of propositions. 1. From a given point to dra,wa straight line equal to a given straight line. 2. If from the ends of the side of a triangle there be...point within the triangle, these shall be less than i he other two sides of the triangle, but shall contain a greater angle, Prove that the sum of the...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1897 - 456 pages
...triangle there be drawn 20 two straight lines to a point within the triangle, then these straight lines shall be less than the other two sides of the triangle, but shall contain a greater angle. G. Describe a triangle having its sides equal to three 19 given straight lines, any two of which are...
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Mathematics: Mechanic's bids and estimates. Mensuration for beginners. Easy ...

Seymour Eaton - 1899 - 362 pages
...to BA and AC. Therefore BA and AC are greater than BC. PROPOSITION 21. THEOREM If from the ends of a side of a triangle there be drawn two straight 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. Let ABC...
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Preparatory Schools for Boys: Their Place in English Secondary Education

Great Britain. Board of Education - Boys - 1900 - 568 pages
...their annual expenditures in the ratio of 7 : 2. Each of them saves 100, find their incomes. 10. If from the ends of the side of a triangle there be...of the triangle, but shall contain a greater angle. 11. If the square described on one of the sides of a triangle bo equal to the squares described on...
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Sessional Papers, Volume 22, Part 2

Great Britain. Parliament. House of Commons - Great Britain - 1900 - 686 pages
...their annual expenditures in the ratio of 7 : 2. Rich of thorn saves ilOO, find their incomes. LO. If from the ends of the side of a triangle there be...of the triangle, but shall contain a greater angle. 1 1: If the square described on one of the sides of a triangle bfl equal to the squares described on...
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Special Reports on Educational Subjects, Volumes 6-7

Great Britain. Board of Education - Education - 1900 - 906 pages
...their annual expenditures in the ratio of 7 : 2. Each of them saves 100, find their incomes. 10. If from the ends of the side of a triangle there be...lines to a point within the triangle, these shall bo less than the other two sides of the triangle, but shall contain a greater angle. 11. If the square...
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Report of the Department of Education for the Year ...

Manitoba. Department of Education - Education - 1900 - 580 pages
...4. The greater angle of a triangle has the greater side opposite to it. 5. If from the ends of any side of a triangle there be drawn two straight lines to a point within the triangle, these straight lines shall be together less than the other two sides of the triangle, but shall contain a...
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A Text-book of Euclid's Elements for the Use of Schools. Books I and II, Book 1

Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...together greater than AC. QED [For Exercises see page 44.] PROPOSITION 21. THEOREM. If from the ends of a side of a triangle, there be drawn two straight lines to a point within the triangle, then these straight lines shall be less than the other two sides of the triangle, but shall contain...
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