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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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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...AC, CB, greater than AB. Wherefore, Any two sides §c. QED PROP. XXI. THEOR. If from the ends of a side of a triangle there be drawn two straight lines...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, to the point D within it : BD and...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846
...> AC, 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...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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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846
...= AB + AC, Prop. a. AB + AC> BC. Wherefore any two sides, &c. PROP. XX. THEOR. 21. lEu. If from the ends of the side of a triangle, there be drawn two...of the triangle, but shall contain a greater angle. 1'rup. 5. Ax. 9. Prop. 18. Let ABC be a ^\; from B, C, the ends of the side BC, draw BD, CD, from the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - 317 Seiten
...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
...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 drawn two straight lines...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 ...

Euclid, Thomas Tate - 1849 - 108 Seiten
...than CA, and 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...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, to the point D within it; BD and...
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Papers for the Schoolmaster

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
...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 drawn two straight lines...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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