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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 - Σελίδα 15
των Euclides - 1853 - 147 σελίδες
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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...

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...

Euclidian Geometry

Francis Cuthbertson - 1874 - 349 σελίδες
...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...

Pure mathematics, Τόμος 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,...

The Bombay university calendar, Τόμος 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...

Pure mathematics, Τόμος 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,...

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...

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...

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...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 403 σελίδες
...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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