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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 - Σελίδα 15
των Euclides - 1853 - 147 σελίδες
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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...

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...

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...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1846 - 317 σελίδες
...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....

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,...

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,...

The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 108 σελίδες
...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...

Papers for the Schoolmaster, Τόμος 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...

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...

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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