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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...
First principles of Euclid: an introduction to the study of the first book ... - Σελίδα 66
των T S. Taylor - 1880
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## The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 σελίδες
...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 ...

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...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...

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

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...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...

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

Henry Major - 1876 - 784 σελίδες
...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 - 1010 σελίδες
...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 - 268 σελίδες
...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 - 130 σελίδες
...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...

## Euclid, book i., propositions i. to xxvi., with exercises and alternative ...

Euclides - 1877 - 58 σελίδες
...angle. ri PROPOSITION XXI. THEOREM. // from the ends of a side of a triangle two straight lines be drawn to a point within the triangle, these shall be less...sides of the triangle, but shall contain a greater ang'e. Let ABC be a triangle, and from B and C let straight Hues BD, CD be drawn to D a point within...

## Elements of geometry, based on Euclid, book i

Edward Atkins - 1877 - 72 σελίδες
...Theorem. Jf from tJie ends of the side of a triangle tliere be drawn ttco straight lines to a point wtthin the triangle, these shall be less than the other two...the tria-ngle, but shall contain a greater angle. Let ABC be a triangle, and from the points B, C, the ends of the side BC, let the two straight lines...

## Elementary geometry

James Maurice Wilson - 1878 - 450 σελίδες
...the third side. THEOREM 13. If from the ends of the side of a triangle two straight lines be drawn to a point within the triangle, these shall be less...of the triangle, but shall contain a greater angle. Part. En. Let ACB be a triangle, and from the ends of the side AB let two straight lines AP, BP be...