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 Βιβλία Βιβλία 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... A Supplement to the Elements of Euclid - Σελίδα 562
των Daniel Cresswell - 1825 - 582 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο ## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1806 - 518 σελίδες
...PROP. B. THEOR. See N. 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 bisecting the angle. Let ABC... ## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 σελίδες
...-&c. QED 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 of...the triangle is equal to the rectangle contained by the segments of the base, together with the square of the straight line bisecting the angle. Let ABC... ## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 518 σελίδες
...PROB. B. THEOR. s«eN«e. 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 reelangle contained by the segments of the base, together with the square of the straight line bisecting... ## Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 5

John Mason Good - 1813
...the square of the straight line bisecting the angle. Prop. C. Theor. If from any angle of a triangles straight line be drawn perpendicular to the base; the rectangle contained by the sides of Ihe triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle... ## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 σελίδες
...PRO*. Bl THEOR. Se«N. Ip an angle of a triangle be bisected by a straight line whieh 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, bisecting the angle. Let ABC... ## Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 σελίδες
...Q, ED PROP. B. THEOR. If an angle of a triangle be bisected by a straight line, which likentist 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 bisecting the angle* Let... ## A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 σελίδες
...together with the square of AD. Wherefore, if an angle, &c. QE D PROP C. THEOREM. If from an ansie of a triangle a straight line be drawn perpendicular...rectangle contained by the perpendicular and the diameter ofutt circle described about the triangH Let ABC be a triangle, and AD the perpendicular from the angle... ## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1826 - 320 σελίδες
...ED.DA= •vBD.DC, therefore BA.AC = BD.DC + DA3. Wherefore, if an angle, We. Jg. ED • PROP. C. THEOR. If from any angle of a triangle a straight line be drawn perpendieular to the base ; the reetangle eontained by the sides of the triangle is equal to the reetangle... ## The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 σελίδες
...the rectangle BD, DC, together with the square of AD. Wherefore, if an angle, &c. QED PROP. C. THEOR. If 'from any angle of a triangle a straight line be drawn See N. perpendicular to the base ; the rectangle contained by the sides of the triangle is equal to... ## Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1832 - 333 σελίδες
...+DA». But ED.DA= BD.DC, therefore BA.AC=BD.DC+ DA", Wherefore, if an angle, &c. QED PROP. C. THEOR. If from any angle of a triangle a straight line be...the triangle is equal to the rectangle contained by the perpen dicular, and the diameter of the circle described about the tri angle. Let ABC be a triangle,...