 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 564των Daniel Cresswell - 1825 - 582 σελίδεςΠλήρης προβολή - Σχετικά με αυτό το βιβλίο
 | John Playfair - 1833 - 346 σελίδες
...+DA2. But ED.DA= BD.DC, therefore BA.AC=BD.DC+ DA2. Wherefore, if an angle, &c. QED PROP. C. THEOR. If from any angle of a triangle a straight line be...the rectangle contained by the sides of the triangle if equal to the rectangle contained by the perpendicular, and the diameter of the circle described... | |
 | Euclid - 1835 - 540 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... | |
 | 1836 - 488 σελίδες
...have the sectors. B. 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, to. gether with the square of the straight line bisecting the angle. C. If... | |
 | 1836 - 366 σελίδες
...inside or outside. 21. 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. 22. The... | |
 | Andrew Bell - 1837 - 290 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 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... | |
 | Euclid, James Thomson - 1837 - 410 σελίδες
...circles, &c. 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... | |
 | John Playfair - 1837 - 332 σελίδες
...PROP. B. THEOR. If an angle of a triangle be bisected by a straight line, which likewise cuts the Lose; 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 stra ght line bisecting the angle. Let ABC... | |
 | Euclides - 1838 - 264 σελίδες
...QE o. PROP. B. THEOR. Jf 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 toith the square of the straight line which bisects the angle. Let... | |
 | Robert Simson - 1838 - 434 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... | |
 | William Desborough Cooley - 1840 - 106 σελίδες
...; consequently, AD'AF = AF2+BF'FC, and since BA'AC =AD'AF, it follows, that BA'AC = AP + BF'FC, or the rectangle contained by the sides of the triangle, is equal to the square of the line bisecting the contained angle, together with the rectangle under the segments of... | |
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