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" 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 of the straight line... "
The Contents of the Fifth and Sixth Books of Euclid - Σελίδα 100
των Euclid, Micaiah John Muller Hill - 1900 - 143 σελίδες
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 176 σελίδες
...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...the segments of the base, together with the square of the straight line bisecting the angle. LET abc be a triangle, and let the angle bac be bisected...

The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - 400 σελίδες
...which likewise cuts the base, the rectangle contained by the sides of the triangle is equal loathe rectangle contained by the segments of the base, together with the square of the straight line bisecting the angle. Let ABC be a triangle, and let the angle BAG be bisected...

The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 270 σελίδες
...geometers. PROP. B. THEOREM If any angle of a triangle be bisected by a straight line which, likewise cuts the base ; the rectangle contained by the sides...the segments of the base, together with the square of the straight line which bisects the angle. Let ABС he a triangle, and let the angle BA С be bisected...

Minutes of the Committee of Council on Education

Great Britain. Committee on Education - 1855 - 976 σελίδες
...extreme and mean ratio. 3. If an angle of a triangle he bisected by a straight line which likewise cuts the base, the rectangle contained by the sides...the segments of the base, together with the square of the straight line which bisects the angle. Section 3. 1. Show that equal triangles on equal bases...

Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 340 σελίδες
...sector EHF PROP. B. THEOR. If an angle of a triangle be bisected by a straight line, which likewise cuts the base; the rectangle contained by the sides...the rectangle contained by the segments of the base, togfther with the square of the straight line bisecting tlte angle. Let ABC be a triangle, and let...

The Elements of Euclid, with many additional propositions, and explanatory ...

Euclides - 1855 - 230 σελίδες
...have to one another. The rectangle under the sides of the triangle is equal to the rectangle under the segments of the base, together with the square on the straight line which bisects the angle. The triangle is isosceles. The rectangle under the sides of the triangle is equal to the rectangle...

Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 σελίδες
...straight line, which likewise cuts the base; the rectangle contained by the sides of the triangle ia equal to the rectangle contained by the segments of the base, together with the square of the straight line which bisects the angle. CICERO.—TUSCULAN DISPUTATIONS. BOOK I. DIVISION I (A.)...

Elements of Geometry and Conic Sections

Elias Loomis - 1857 - 242 σελίδες
...by a line which cuts the base, the rectangle contained by the sides of the triangle, is equivalent to the rectangle contained by the segments of the. base, together with the square of the bisecting line. Let ABC be a triangle, and let the angle BAC be bisected by the straight line...

Elements of Geometry and Conic Sections

Elias Loomis - 1858 - 256 σελίδες
...by a line which cuts the base, the rectangle contained by the sides of the triangle, is equivalent to the rectangle contained by the segments of the. base, together with the square of the bisecting line. Let ABC be a triangle, and let the angle BAC be bisected by the straight line...

A test-book for students; comprising sets of examination papers upon ...

Thomas Stantial - 1859 - 352 σελίδες
...proportional between the inscribed and circumscribed equilateral triangles of the same circle. 8. If an angle of a triangle be bisected by a straight line...the segments of the base, together with the square of the straight line which bisects the angle. 9. Given the sum of the sides of a triangle and the angles...




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