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 Bøker Bok 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
Uten tilgangsbegrensning - Om denne boken ## Geometrical Exercises for Beginners

Samuel Constable - 1882 - 203 sider
...last.] 13. Prove that the rectangle contained by a side of this square and a line equal to the sum of the sides of the triangle is equal to the rectangle contained by the sides. 14. Inscribe a square in any triangle; and prove that the rectangle contained by a side...
Uten tilgangsbegrensning - Om denne boken ## The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 400 sider
...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 segments of the base, together with the square on the straight line which bisects the angle. Let...
Uten tilgangsbegrensning - Om denne boken ## The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884
...to that included by them. If from the vertical angle of a triangle a perpendicu1ar be drawn to tJie base, the rectangle contained by the sides of the...by the perpendicular and the diameter of the circle circumscribed about the triangle. A Let ABC be a triangle, AD the perpendicular from A on the base...
Uten tilgangsbegrensning - Om denne boken ## Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

...parallel. 11. 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. II....
Uten tilgangsbegrensning - Om denne boken ## Examinations Papers

1885
...three divisions of this paper.) I. — 1. If from the vertical angle of a triangle a straight line be drawn perpendicular to the base, the rectangle...diameter of the circle described about the triangle. 2. Prove that the tangent to a parabola at any point is the bisector of the angle which the focal distance...
Uten tilgangsbegrensning - Om denne boken ## Weekly problem papers, with notes. [With] Solutions

John James Milne - 1885
...cos (A - £)}. 5. 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 two lines equally inclined to the bisector, one terminated by the base and the other by the rircum-uircle....
Uten tilgangsbegrensning - Om denne boken ## The First Six Books of the Elements of Euclid: And Propositions I-XXI of ...

Euclid, John Casey - 1885 - 312 sider
...extended to each of the escribed circles of the triangle ACB. 6. The rectangle contained by two sides of a triangle is equal to the rectangle contained by the perpendicular and the diameter of the circumscribed circle. For, let CE be the diameter. Join AE. Then the triangles ACE, DCB are equiangular...
Uten tilgangsbegrensning - Om denne boken ## The first six books of the Elements of Euclid, and propositions i.-xxi. of ...

Euclides - 1885
...extended to each of the escribed circles of the triangle ACB. 5. The rectangle contained by two sides of a triangle is equal to the rectangle contained by the perpendicular and the diameter of the circumscribed circle. For, let CE be the diameter. Join AE. Then the triangles ACE, DCB are equiangular...
Uten tilgangsbegrensning - Om denne boken ## Examinations Papers

1887
...circumscribing circle. 15. 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 that contained by the segments of the base together with the square on the straight line which bisects...
Uten tilgangsbegrensning - Om denne boken ## Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889
...areas of the triangles AGB, FGE. n. If an angle of a triangle be 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 of the straight line which bisects the angle. If...
Uten tilgangsbegrensning - Om denne boken