 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
 | Elias Loomis - 1857 - 242 σελίδες
...external segments. PROPOSITION XXIX. THEOREM. If an angle of a triangle be bisected 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... | |
 | Elias Loomis - 1858 - 256 σελίδες
...external segments. PROPOSITION XXIX. THEOREM. If an angle of a triangle be bisected 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... | |
 | Sandhurst roy. military coll - 1859 - 672 σελίδες
...the radius of the circle. 2. If an 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 of the straight line which bisects the angle. If... | |
 | Thomas Stantial - 1859 - 352 σελίδες
...triangles of the same circle. 8. If an 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 of the straight line which bisects the angle. 9.... | |
 | Eucleides - 1860 - 396 σελίδες
...line, which likewise cuts the Idem [fa straight line bisects both the angle and base of a triangle. [f from any angle of a triangle a straight line be drawn perpendicular to the base. If in a right-angled triangle, a perpendicular be drawn from the right angle to the base. Idem If a... | |
 | John Playfair - 1860 - 334 σελίδες
...sector PROP. B. THEOR. If an angle of a triangle be bisected by a straight line, which likewse cuts the base; the rectangle contained by the sides of the triangle is equal to th« rectangle contained by the segments of the base, together with the square of the straight line... | |
 | War office - 1861 - 260 σελίδες
...equiangular pentagon. 4. 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 which bisects the angle. 5.... | |
 | Euclides - 1861 - 464 σελίδες
...vert. ¿ CAF, AG2 = BG . GC ,xi B А . AC PROP. C.— THEOR. If from any angle of a triangle a st. line be drawn perpendicular to the base ; the rectangle contained by the sides of the triangk is equal to the rectangle contained by the perpendicular and the diameter of the circle described... | |
 | Alfred Wrigley - 1862 - 330 σελίδες
...lines are together equal to twice as many right angles wanting eight as the polygon has sides. 29. If from any angle of a triangle, a straight line be drawn to the middle point of the opposite side, the sum of the squares of the sides containing this angle... | |
 | Euclides - 1864 - 448 σελίδες
...together with the square on AD. Wherefore, if an angle, &c. QED PROPOSITION C. THEOREM. If from ang angle of a triangle, a straight line be drawn perpendicular to the base ; the rectangle contained bg the sides of the triangle is equal to the rectangle contained bg the perpendicular and the diameter... | |
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