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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 Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 sider
...greater than AC, and BC, CA greater than AB. Wherefore, any two sides &c. QED PROPOSITION 21. THEOREM. 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 ABC...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 sider
...are greater than AB. Therefore any two sides, &c. QED PROPOSITION 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, Let ABC\>ea...
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Civil service guide

Robert Johnston (F.R.G.S.) - 1869 - 178 sider
...and a rhombus, and give Euclid's 12th axiom (relating to parallel lines). 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 be less than the other two sides of the triangle, but shall contain a greater angle. 3. What...
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Elements of geometry, containing the first two (third and fourth ..., Del 1

Euclides - 1871
...sides shall be more than double of the line joining the vertex and the point of bisection. SK 3 I ft from the ends of the side of a triangle, there be...straight lines to a point within the triangle; these will be less than the other sides of the triangle, but will contain a greater angle. Let ABC be a A...
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The Elements of Plane and Solid Geometry

Henry William Watson - 1871 - 285 sider
...proved, take away AB from each, therefore BC is greater than AC~AB. 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 two lines shall be together less than the two remaining sides of the triangle. From B and C the ends...
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Civil service guide

Robert Johnston (F.R.G.S.) - 1873
...and a rhombus, and give Euclid's 12th axiom (relating to parallel lines). 2. If from the ends of a side of a triangle there be drawn two straight lines to a point wilhin the triangle, these shall be less than the other two sides of the triangle, but shall contain...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873
...same manner it mny be shown that AB, BC, are greater than CA ; find BC, CA, greater than AB. XXI. — If from the ends of the side of a triangle, there be drawn t^vo straight lines to a point within the triangle, these shall be less than the other two sides of...
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Pure mathematics, Volum 1

Edward Atkins - 1874
...than AC ; and BC, CA greater than AB. Therefore any two sides, <fec. QED Proposition 21. — Theorem. 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 t/ie triangle, but shall contain a greater angle. Let ABC...
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Recent military, naval, and civil service examination papers in mathematics ...

Braithwaite Arnett - 1874
...the sides also which subtend, or are opposite to, the equal angles shall be equal to one another. 2. 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. 3. If a...
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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

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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