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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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Elements of plane geometry, book i, containing nearly the same propositions ...

Euclides - 1865
...not 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...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865
...are 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 - 400 Seiten
...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 be drawn two...the triangle, but shall contain a greater angle. Let ABC be a triangle, and from the points B, O, the ends of the side BC, let the two straight lines BD,...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 Seiten
...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 be drawn two...a point within the triangle, these. shall be less tKan the other two sides of the triangle, but thall contain a greater angle. ',air»t Let ABC be a...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 Seiten
...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...the triangle, but shall contain a greater angle, Let ABC\>ea triangle, and from the points B, C, the ends of the side BC, let the two straight lines BD,...
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Civil service guide

Robert Johnston (F.R.G.S.) - 1869 - 178 Seiten
...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...of the triangle, but shall contain a greater angle. 3. What is meant by a corollary ? State and prove the corollaries to the proposition in which it is...
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Elements of geometry, containing the first two (third and fourth ..., Teil 1

Euclides - 1871
...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 drawn two...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 Seiten
...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.) - 1872 - 178 Seiten
...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...within the triangle, these shall be less than the oiher two sides of the triangle, but shall contain a greater angle. 3. What is meant by a corollary...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873
...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...contain a greater angle. Let the two straight lines BD, CD, be drawn from B,C, the ends of the side BC of the triangle ABC, to the point D within it; BD and...
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