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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: Viz. the First Six Books, Together with the Eleventh ... - Side 26
av Euclid - 1810 - 518 sider
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A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874
...quadrilateral are together greater than its two diagonals. PROPOSITION 21. THEOREM. If from the ends of ike side of a triangle there be drawn two straight lines to a point within the triangle, these slutll be less than the other two sides of the triangle, but shall contain a greater angle. j Let ABC...
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Elements of Euclid [selections from book 1-6] adapted to modern methods in ...

Euclides - 1874
...THEOREM. (Euc. I. 21.) If from the extremities of one side of a triangle, two straight lines be drawn to a point within the triangle, these shall be less than the other two sides, but sliall contain a greater angle. Let BO and CO be drawn from the ends of the side BC to any point...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...two sides, &c. QED PROPOSITION 21. — Theorem. If from the ends of a side of a triangle, there lie drawn two straight lines to a point within the triangle, these shall lie less than the other two sides of the triangle, but shall contain a greater angle. Let ABC be a...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 403 sider
...greater than AB. Therefore any two sides, &c. QED PROPOSITION XXL THEOREM. If from the ends of a tide of a triangle, there be drawn two straight lines to...triangle ; these shall be less than the other two tides of the triangle, but shall contain a greater angle. Let ABC be a triangle, and from the points...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1876 - 349 sider
...more than double of the line joining the vertex and the point of bisection. PROPOSITION XXI. THEOREM. If, from the ends of the side of a triangle, there...straight lines to a point within the triangle ; these will be together less than the other sides of the triangle, but will contain a greater angle. Let ABC...
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Examination Christmas,1875

Education Department,London - 1876
...opposite sides of every quadrilateral rectangular figure are parallel to each other. If from the ends of a side of a triangle there be drawn two straight lines to a point within the triangle, these shall contain an angle greater than that contained by the other two sides of the triangle. 4. Define a square...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876
...one another. What is a corollaiij ? Give the corollary to this proposition. 2. If from the ends of a side of a triangle there be drawn two straight lines to a point within the triangle ; these shall he less than the other two sides of the triangle, but shall contain a greater angle. What is the construction...
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876
...Any two angles of a triangle are together less than two right angles. .. . 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 sides of the triangle, but shall contain a greater angle. ....
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 sider
...than AC ; and BC, CA greater than AB. Therefore any two sides, &e. QED Proposition 21. — Theorem. Jf 'from the ends of the side of a triangle there be drawn lico straight lines to a point within the tnangle, these shall be lass than the. other two sides of...
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Euclid, book i., propositions i. to xxvi., with exercises and alternative ...

Euclides - 1877
...angle. ri PROPOSITION XXI. THEOREM. // from the ends of a side of a triangle two straight lines be drawn to a point within the triangle, these shall be less...sides of the triangle, but shall contain a greater ang'e. Let ABC be a triangle, and from B and C let straight Hues BD, CD be drawn to D a point within...
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