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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. "
Elements of Geometry: Containing the First Six Books of Euclid : with a ... - Side 23
av John Playfair - 1837 - 318 sider
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 sider
...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 ABCbe a triangle, and from the points B, C, the ends of the Bide BC, let the two straight lines BD,...
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Guide to the Civil service

Henry White - 1864 - 156 sider
...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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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 sider
...greater than AB. Therefore any two sides, &e. 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...
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Elements of plane geometry, book i, containing nearly the same propositions ...

Euclides - 1865 - 80 sider
...equal to AB ; therefore AC is greater than AB. PROPOSITION XXI. TIIEOR. If from the ends of one side of a triangle there be drawn two straight lines to a point within the triangle, these two straight lines are less than the two sides of the triangle, but contain a greater angle. Let the two...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 sider
...greater than AB. Therefore any two sides, &c. QED PROPOSITION XXI. THEOREM. If from the ends of a tide of a triangle, there be drawn two straight lines to a point within the triangle; these shall be less than the otlier two sides of the triangle, but shall contain a greater angle. Let ABC...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 sider
...greater than AB. Therefore, any two sides, &c. QED 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; then these shall be less than the other two sides of the triangle, but shall contain a greater angle....
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 sider
...greater than AB. Wherefore, any two sides &c. QED PROPOSITION 21. THEOREM. 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 ABC...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 sider
...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 - 196 sider
...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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The Elements of Plane and Solid Geometry

Henry William Watson - 1871 - 320 sider
...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...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 of the side BC of...
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