Elements of Geometry with NotesCarey, Lea, & Blanchard, 1833 - 216 páginas |
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Página 4
... angle . 24. The straight line which joins the vertices of two opposite angles of a quadrilateral , is called a diagonal . Thus the line AC joining the vertices of the opposite angles DAB , DCB of the quad- rilateral ABCD , is a diagonal ...
... angle . 24. The straight line which joins the vertices of two opposite angles of a quadrilateral , is called a diagonal . Thus the line AC joining the vertices of the opposite angles DAB , DCB of the quad- rilateral ABCD , is a diagonal ...
Página 9
... angles are equal to each other ( Prop . II . ) ; therefore the whole angle FCD is equal to the part FCE , which is ... opposite angles formed at their intersection will be equal . If the two straight lines AB , CD , intersect at E , the ...
... angles are equal to each other ( Prop . II . ) ; therefore the whole angle FCD is equal to the part FCE , which is ... opposite angles formed at their intersection will be equal . If the two straight lines AB , CD , intersect at E , the ...
Página 10
... angles formed by the intersection of AB , CD . Α PROPOSITION VII . THEOREM . ( Converse of Prop . VI . ) If the opposite angles formed by four straight lines meeting in a point are equal , these lines shall form but two straight lines ...
... angles formed by the intersection of AB , CD . Α PROPOSITION VII . THEOREM . ( Converse of Prop . VI . ) If the opposite angles formed by four straight lines meeting in a point are equal , these lines shall form but two straight lines ...
Página 11
... angles of a triangle to the opposite side bisect that side ; it shall also bisect the angle , and the sides containing that angle shall be equal , that is , the tri- angle will be either isosceles or equilateral . PROPOSITION IX ...
... angles of a triangle to the opposite side bisect that side ; it shall also bisect the angle , and the sides containing that angle shall be equal , that is , the tri- angle will be either isosceles or equilateral . PROPOSITION IX ...
Página 12
... angles and the interjacent side in the one , are equal to two angles , and ... opposite side bisect this angle , it shall also bisect the side on which it ... angles equal , the two lines shall be parallel . Let the straight line AD ...
... angles and the interjacent side in the one , are equal to two angles , and ... opposite side bisect this angle , it shall also bisect the side on which it ... angles equal , the two lines shall be parallel . Let the straight line AD ...
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Términos y frases comunes
AB² ABCD AC² adjacent angles altitude angle ABC angle ACB angle BAC antecedent base bisected centre chord circle circum circumference circumscribed polygon consequently construction Converse of Prop corollary demonstration described diagonals diameter divided draw equal angles equal Prop equiangular equimultiples equivalent Euclid exterior angle geometry greater half hence hypothenuse hypothesis included angle inscribed angle inscribed polygon intersect isosceles triangle join less line drawn lines be drawn magnitudes multiple number of sides obtuse opposite angles parallel perimeter perpendicular PROBLEM proportion PROPOSITION PROPOSITION XII quadrilateral radii radius rectangle rectangle contained regular polygon respectively equal rhomboid right angled triangle right angles Prop Scholium scribed side BC similar polygons similar triangles square submultiple subtended surface tangent THEOREM third three angles trapezium triangle ABC vertex whence