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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. "
Senate Documents, Otherwise Publ. as Public Documents and Executive ... - Side 296
av United States. Congress. Senate - 1880
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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 a point within the triangle, these shall be less than the other two sides of the triangle, but shall contain a greater angle. PART. ENUN....
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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 to a point within the triangle, these shall be less than the other two sides of the triangle, but shall contain a greater angle. PROP. XXII....
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclides - 1849
...are greater 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...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...
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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 to a point within the triangle, these shall be less than the other two sides of the triangle, but shall contain a greater angle. 6. The straight...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852
...greater than AB. Therefore any two sides, &c. Q, ED D 4 iii 1. 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...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...than CA; and BC, CA, are greater than AB. Therefore any two sides, &c. QED PROP. XXI. — THEOKEM. If from, the ends of the side of a triangle, there...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...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853
...greater than CA, and BC, CA greater than AB. Therefore any two sides, etc. QED PROPOSITION XXI. THEOR. If from the ends of the side of a triangle there be...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...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 sider
...С a greater than a b. Therefore any two sides, ¡fee. QED PROPOSITION XXI. — THEOREM. If from Hie 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...
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The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose, Bok 1

Euclides - 1853
...together greater than the third. Which was to be proved. PEOP. XXI. THEOE. If from the extremities of any side of a triangle there be drawn two straight lines to a point within the triangle : then these two straight lines shall together be less than the other two sides of the triangle, and...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...same points to any other point in the given straight line. PROP. XXI. THEOREM. If from the ends of one side of a triangle, there be drawn two straight lines to a point within the triangle, these together shall be less than tfte other two sides of the triangle, but shall contain a greater angle....
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