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" Wherefore, in equal circles &c. QED PROPOSITION B. THEOREM If the vertical angle of a triangle be bisected by a straight line which likewise cuts the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the... "
The Elements of Euclid - Side 145
av Euclid - 1838 - 416 sider
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Wisconsin Journal of Education, Volum 20

1890
...similar to a given triangle. 3. If the vertical angle of a triangle be bisected by a line which cuts the base, the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the segments of the base, together with the square on the straight line which bisects the angle. 4....
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Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

Royal Military College, Sandhurst - 1890 - 132 sider
...double of AB. 6. If the vertical angle of a triangle be bisected by a straight line which likewise cuts the base, the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the segments of the base, together with the square on the straight line which bisects the angle. 7....
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 sider
...PROPOSITION B. THEOREM. If an angle of a triangle be bisected by a straight line which likewise cuts the base, the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the segments of the base, together with the square on the straight line bisecting the angle. Let L...
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Euclid's Elements of Geometry, Bøker 1-6

Henry Martyn Taylor - 1893 - 504 sider
...perpendicular be drawn from a vertex of a triangle to the opposite side, the rectangle contained by the otlter sides of the triangle is equal to the rectangle contained...diameter of the circle described about the triangle. Let AD be the perpendicular drawn from the vertex A of the given triangle ABC to the opposite side BC ':...
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Euclid's Elements of Geometry, Bøker 1-6;Bok 11

Henry Martyn Taylor - 1895 - 657 sider
...perpendicular be drawn from a vertex of a triangle to the opposite side, the rectangle contained by the other sides of the triangle is equal to the rectangle contained...diameter of the circle described about the triangle. Let AD be the perpendicular drawn from the vertex A of the given triangle ABC to the opposite side BC ':...
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Sessional Papers, Volum 32,Utgave 10

1899
...circle. 18 6. If the vertical angle of a triangle be bisected by a straight line which like- 18 wise cuts the base, the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the segments of the base, together with the square or the straight line which bisects the angle. PLANE...
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The Contents of the Fifth and Sixth Books of Euclid

Euclid, Micaiah John Muller Hill - 1900 - 143 sider
...L. ENUNCIATION. If the vertical angle of a triangle be bisected by a straight line which also cuts the base, the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the segments of the base together with the square on the straight line which bisects the angle. Let...
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Special Reports on Educational Subjects, Volumer 6-7

Great Britain. Board of Education - 1900
...difference between BF and CG. II. If any angle of a triangle is bisected by a straight line which cuts the base, the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the segments of the base together with the square on the line which bisects the angle. Whence Prove...
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Preparatory Schools for Boys: Their Place in English Secondary Education

Great Britain. Board of Education - 1900 - 531 sider
...difference between В F und CG. II. If any angle of a triangle is bisected by a straight line which cuts the base, the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the segments oí the base together with the square on the line which bisects the angle. Whence Prove...
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Sessional Papers, Volum 22,Del 2

Great Britain. Parliament. House of Commons - 1900
...difference between BF and GG. II. If any angle of a triangle is bisected by a straight lino which outs the base, the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the segments of the base together with the square on the line which bisects the angle. Whence Prove...
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