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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... "
Guide to the three services: civil, naval, and military - Pagina 108
geredigeerd door - 1860
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846
...Similarly, { BC J AC > AB. Wherefore any two sides, &c. PROP. XX. THEOR. 21. lEu. 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. Let ABC be a ^\; from B, C, the ends of the side BC, draw BD, CD, from the point D within the ^\; then...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1846 - 317 pagina’s
...greater than CA, and BC, CA greater than AB. SCHOLIUM. E PROP. XXI. THEOR. If from the ends of one side of a triangle, there be drawn two straight lines to a point within the triangle, these two lines shall be less than the other two sides of the triangle, but shall contain a greater angle....
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847
...from two gn. pts. c, D, &c. — QEF PROP. XXI. THEOR. GEN. ENUN. — If, from the ends of one aide of a triangle, there be drawn two straight lines to...of the triangle, but shall contain a greater angle. PART. ENUN. — Let ABC be a A. From B, c, the extremities of the side BC, draw the st. lines BD, CD,...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...THEOREM. Any two sides of a triangle are together greater than the third side. PROP. XXI. THEOREM. If from the ends of a side of a triangle, there be...of the triangle, but shall contain a greater angle. PROP. XXII. PROBLEM. To make a triangle of which the sides shall be equal to three given straight lines,...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclides, Thomas Tate - 1849 - 108 pagina’s
...BC, CA greater than AB. Therefore any two sides, &c. QED PROP. XXI. THEOR. 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. Let the two straight lines BD, CD be drawn from B, c, the ends of the side BC of the triangle ABC,...
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Papers for the Schoolmaster, Volume 1

1851
...EUCLID. SECTION I; 1. If from the ends of the sides of a riangle there be drawn a straight line aa point within the triangle, these shall be less than...of the triangle, but shall contain a greater angle. 2. In any right angled triangle the square which is described on the side sub-tending the right angle...
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The London University Calendar

London univ - 1852
...line perpendicular to a given straight line of unlimited length, from a given point without it. 5. If from the ends of a side of a triangle, there be...of the triangle, but shall contain a greater angle. 6. The straight lines which join the extremities of two equal and parallel straight lines towards the...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852
...v. 1. xix. 1. BOOK L PROP. XXL THEOR. If from the ends of the side of a triangle there be drawn tiro straight lines to a point within the triangle, these shall be less than the other tico sides of the triangle, but shall contain a greater angle. Let the two straight lines BD, CD be...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...greater than AB. Therefore any two sides, &c. QED PROP. XXI. — THEOKEM. 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. Let the two straight lines BD, CD, be drawn from B, C, the ends of the side BC of the triangle ABC,...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 pagina’s
...than a b. Therefore any two sides, ˇfee. QED PROPOSITION XXI. — THEOREM. If from Hie ends of the side of a triangle there be drawn two straight lines...of the triangle, but shall contain a greater angle. LET the two straight lines bd, С d be drawn from b, С, the ends of the side b С of the triangle...
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