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" If from the ends of a 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. "
The Elements of Euclid, the parts read in the University of Cambridge [book ... - Side 22
av Euclides - 1846
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Rider Papers on Euclid (books I. and II.)

Rupert Deakin - 1891 - 102 sider
...20. Any two sides of a triangle are together greater than the third side. 21. If from the ends of the side of a triangle there be drawn two straight lines...of the triangle, but shall contain a greater angle. 22. To make a triangle of which the sides shall be equal to three given straight lines, any two of...
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The First Book of Euclid's Elements: Arranged for Beginners

Euclid, John Bascombe Lock - 1892 - 188 sider
...this ? 10. Prove 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...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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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1892 - 508 sider
...Prove that case of Euclid 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...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 Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1892 - 460 sider
...and CB, BA are together greater than AC. QE n. [For Exercises see page 38.J PROPOSITION 21. THEOREM. If from the ends of a side of a triangle, there be drawn (wo straight lines to a point within the triangle, then these straight lines shall be less than the...
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Euclid's Elements of Geometry, Bøker 1-6

Henry Martyn Taylor - 1893 - 486 sider
...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, Bøker 1-6;Bok 11

Henry Martyn Taylor - 1895 - 708 sider
...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 - 112 sider
...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 straight lines...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 - 446 sider
...equal to two right angles, then these two straight lines shall be in one and the same straight line. 5. If from the ends of a side of a triangle there be drawn 20 two straight lines to a point within the triangle, then these straight lines shall be less than...
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Mathematics: Mechanic's bids and estimates. Mensuration for beginners. Easy ...

Seymour Eaton - 1899 - 362 sider
...BA and AD; that is, 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...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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Sessional Papers, Volum 22,Del 2

Great Britain. Parliament. House of Commons - 1900 - 686 sider
...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 straight lines...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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