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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... "
A Popular Course of Pure and Mixed Mathematics ...: With Tables of ... - الصفحة 172
بواسطة Peter Nicholson - 1825 - عدد الصفحات: 372
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Pure mathematics, المجلد 1

Edward Atkins - 1874 - عدد الصفحات: 428
...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 - عدد الصفحات: 120
...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 Adapted to Modern Methods in Geometry

Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - عدد الصفحات: 236
...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 - عدد الصفحات: 342
...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...

Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1876 - عدد الصفحات: 382
...more than double of the line joining the vertex and the point of bisection. PROPOSITION XXI. THEOREM. If, from the ends of the side of a triangle, there...straight lines to a point within the triangle ; these will be together less than the other sides of the triangle, but will contain a greater angle. Let ABC...

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

Robert Potts - 1876 - عدد الصفحات: 446
...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...

The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - عدد الصفحات: 784
...one another. What is a corollaiij ? Give the corollary to this 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 shall he less than the other two sides of the triangle, but shall contain a greater angle. What is the construction...

Examination Christmas,1875

Education Department,London - 1876 - عدد الصفحات: 1010
...opposite sides of every quadrilateral rectangular figure are parallel to each other. If from the ends of a side of a triangle there be drawn two straight lines to a point within the triangle, these shall contain an angle greater than that contained by the other two sides of the triangle. 4. Define a square...

Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - عدد الصفحات: 268
...Any two angles of a triangle are together less than two right angles. .. . If from the ends of one side of a triangle, there be drawn two straight lines to , a point within the triangle, these two lines shall be less than the other sides of the triangle, but shall contain a greater angle. ....

Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - عدد الصفحات: 130
...than AC ; and BC, CA greater than AB. Therefore any two sides, &e. QED Proposition 21. — Theorem. Jf 'from the ends of the side of a triangle there be drawn lico straight lines to a point within the tnangle, these shall be lass than the. other two sides of...




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