The Elements of Euclid, Libros 1-6;Libro 11J.M. Dent & Sons, Limited, 1933 - 298 páginas |
Dentro del libro
Resultados 1-3 de 88
Página 36
... right angles , are equal to twice as many right angles as the figure has sides . For any rectilineal figure ABCDE can be divided into as many triangles as the figure has sides , by drawing straight lines from a point F within the figure ...
... right angles , are equal to twice as many right angles as the figure has sides . For any rectilineal figure ABCDE can be divided into as many triangles as the figure has sides , by drawing straight lines from a point F within the figure ...
Página 103
Euclid Isaac Todhunter, Robert Simson. semicircle , shall be less than a right angle ; and the angle in the segment ... angles , АВС , АСВ . [ Axiom 2 . But FAC , the exterior angle of the triangle ABC , is equal to the two angles ABC ...
Euclid Isaac Todhunter, Robert Simson. semicircle , shall be less than a right angle ; and the angle in the segment ... angles , АВС , АСВ . [ Axiom 2 . But FAC , the exterior angle of the triangle ABC , is equal to the two angles ABC ...
Página 230
... angle ABE is equal to the angle ADE . [ I. 8 . But the angle ABE is a right angle ; therefore the angle ADE is a right angle ; that is , ED is at right angles to AD . But ED is at right angles to BD , [ Const . therefore ED is at right ...
... angle ABE is equal to the angle ADE . [ I. 8 . But the angle ABE is a right angle ; therefore the angle ADE is a right angle ; that is , ED is at right angles to AD . But ED is at right angles to BD , [ Const . therefore ED is at right ...
Otras ediciones - Ver todas
Términos y frases comunes
ABCD AC is equal adjacent angles angle ABC angle ACB angle BAC angle DEF angle EDF angles equal Axiom base BC bisected centre circle ABC circumference Constr Construction Corollary Definition 15 demonstration diameter double draw equal angles equal to F equiangular equimultiples Euclid Euclid's Elements exterior angle fourth given circle given straight line gnomon greater ratio greater than F Hypothesis less Let ABC Let the straight meet multiple opposite angle parallel to BC parallelogram perpendicular polygon produced proportionals PROPOSITION 13 Q.E.D. PROPOSITION rectangle contained remaining angle right angles segment shewn sides similar and similarly Simson square described square on AC straight line &c straight line AB THEOREM tiples touches the circle triangle ABC triangle DEF twice the rectangle Wherefore