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Libros Libros 21 - 30 de 46 sobre Prove that the square on any straight line drawn from the vertex of an isosceles...
" Prove that the square on any straight line drawn from the vertex of an isosceles triangle to the base, is less than the square on a side of the triangle by the rectangle contained by the segments of the base : and conversely. "
The Elements of Euclid for the Use of Schools and Colleges: Comprising the ... - Página 352
por Euclid, Isaac Todhunter - 1867 - 400 páginas
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 400 páginas
...and the side AD produced at E\ shew that the rectangle EF, FG is equal to the square on BF. 404. If a straight line drawn from the vertex of an isosceles triangle to the base, be produced to meet the circumference of a circle described about the triangle, the rectangle contained...
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Elements of Geometry, After Legendre, with a Selection of Geometrical ...

Charles Scott Venable - 1881
...the angle BAD is equal to DAC, and BDA to ADC, hence, the latter two are right angles ; therefore, a straight line drawn from the vertex of an isosceles triangle to the middle of its base, is perpendicular to that base, and divides the angle at the vertex into two equal...
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Class lessons on Euclid

Marianne Nops - 1882
...square on their difference, is equal to twice the squares on the two straight lines. 10. The square of any straight line drawn from the vertex of an isosceles triangle to the base is less than the square of a side of the triangle by the rectangle contained by the segments of the base. LECTURE XXI. (PROPOSITIONS...
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

EUCLID. - 1883 - 96 páginas
...the centre, and join C and D to E, any point in the circumference ; then EC2 + ED2 = AC2 + AD2. 10. The square on any straight line drawn from the vertex...isosceles triangle to the base is less than the square on one of the equal sides by the rectangle contained by the segments of the base. 11. Find the locus of...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 400 páginas
...and the side AD produced at E: shew that the rectangle EF, FG is equal to the square on BF. 404. If a straight line drawn from the vertex of an isosceles triangle to the base, be produced to meet the circumference of a circle described about the triangle, the rectangle contained...
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The Elements of Plane and Solid Geometry ...

Edward Albert Bowser - 1890 - 393 páginas
...49. The square on the straight line, drawn from the vertex of an isosceles triangle to any point in the base, is less than the square on a side of the triangle by the rectangle of the segments of the base. 50. The sides AB, CD of a quadrilateral ABCD inscribed in a circle are...
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Plane and Solid Geometry

Seth Thayer Stewart - 1891 - 406 páginas
...following : I. i. Any side of a triangle is greater than the difference between the two other sides. 2. A straight line drawn from the vertex of an isosceles triangle to the base produced, is longer than either of the equal sides. 3. If the angles at the base of any triangle are...
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Rider Papers on Euclid: Books i and Ii, Graduated and Arranged in Order of ...

Rupert Deakin - 1891 - 79 páginas
...Propositions are usually stated. For example, almost all editions of Euclid contain this Eider : — " The straight line drawn from the vertex of an isosceles triangle to the middle point of the base is perpendicular to the base." Boys who have learnt Euclid for years will...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1892 - 518 páginas
...than the square on one of the equal sides by the rectangle contained by the segments of the base. 10. The square on any straight line drawn from the vertex of an isosceles triangle to the base produced, is greater than the square on one of the equal sides by the rectangle contained by the segments...
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Exercises in Stewart's Plane and Solid Geometry: With Solutions for Teachers

Seth Thayer Stewart - 1893 - 225 páginas
...i. Any side of a triangle is greater than the difference between the two other sides. (P. xi.) 2. A straight line drawn from the vertex of an isosceles triangle to the base produced, is longer than either of the equal sides. I. Draw a line from the vertex to the middle of...
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