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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 Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Page 26
by Robert Simson - 1806 - 518 pages
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Elements of geometry, containing the first two (third and fourth ..., Part 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 - Geometry - 1871 - 285 pages
...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.) - Civil service - 1872 - 178 pages
...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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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 - Student teachers - 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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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...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 - Euclid's Elements - 1874 - 349 pages
...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, Volume 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...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, Volume 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, Volume 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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