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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 first six books of the Elements of Euclid, with numerous exercises - Seite 15
von Euclides - 1853 - 147 Seiten
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1892
...I. 7, where the vertex of each triangle is without the other triangle. 17 5. 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. 20 6. If two triangles...
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The First Book of Euclid's Elements: Arranged for Beginners

Euclid, John Bascombe Lock - 1892 - 167 Seiten
...Proposition 20 by bisecting one of the angles. [See XXI. 10.] Proposition 21. 101. If from the ends of a side of a triangle, there be drawn two straight lines to a point within the triangle, then I. these straight lines together shall be less than the two sides of the triangle together, and...
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Euclid's Elements of Geometry, Bücher 1-6

Henry Martyn Taylor - 1893 - 504 Seiten
...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 drawn 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, Bücher 1-6;Bücher 11

Henry Martyn Taylor - 1895 - 657 Seiten
...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 drawn 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 - 1896 - 96 Seiten
...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 drawn two...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 - 1897
...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 - 340 Seiten
...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 - 1900 - 531 Seiten
...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 drawn two...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, Band 22,Teil 2

Great Britain. Parliament. House of Commons - 1900
...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 drawn two...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, Bände 6-7

Great Britain. Board of Education - 1900
...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 drawn two...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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