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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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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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Recent military, naval, and civil service examination papers in mathematics ...

Braithwaite Arnett - 1874
...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 drawn two...of the triangle, but shall contain a greater angle. 3. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite...
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Euclidian Geometry

Francis Cuthbertson - 1874 - 349 Seiten
...former, which is impossible. Hence it follows that PROPOSITION XVII. If from the ends of one of the sides of a triangle there be drawn two straight lines to...of the triangle but shall contain a greater angle. '~D a -# From the ends B, C of the side BC of the &ABC let the two straight lines BD, CD be drawn to...
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Pure mathematics, Band 1

Edward Atkins - 1874
...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 drawn two...triangle, these shall be less than the other two sides of t/ie triangle, but shall contain a greater angle. Let ABC be a triangle, and from the points B, C,...
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The Bombay university calendar, Band 1

Bombay city, univ - 1874
...ratio and similar rectilineal figures. 2. If from the ends of a Bide of a triangle there be drawn 6 two straight lines to a point within the triangle...of the triangle, but shall contain a greater angle. If two points be taken in the base of a triangle at equal dis- 6 tances from, and on opposite sides...
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Pure mathematics, Band 1

Edward Atkins - 1874
...greater than AB. Therefore any two sides, &c. QED Proposition 21. — Theorem. If from the ends of t/ie side of a triangle there be drawn two straight lines to a point within the triangle, these shall be las titan the other two sides of the triangle, but shall contain a greater angle. Let ABC be a triangle,...
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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 Seiten
...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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