The Elements of Euclid for the Use of Schools and Colleges: Comprising the First Six Books and Portions of the Eleventh and Twelfth BooksMacmillan, 1886 - 400 Seiten |
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Ergebnisse 1-5 von 93
Seite 9
... Let ABC , DEF be two triangles which have the two sides AB , AC equal to the two sides DE , DF , each to each , namely , AB to DE , and AC to DF , and the angle BAC equal to the angle EDF : the base BC shall be equal to the base EF ...
... Let ABC , DEF be two triangles which have the two sides AB , AC equal to the two sides DE , DF , each to each , namely , AB to DE , and AC to DF , and the angle BAC equal to the angle EDF : the base BC shall be equal to the base EF ...
Seite 10
... ABC be applied to the triangle DEF , so that the point A may be on the point D , and the straight line AB on the ... Let ABC be an isosceles triangle , having the side AB equal to the side AC , and let the straight lines AB , AC be ...
... ABC be applied to the triangle DEF , so that the point A may be on the point D , and the straight line AB on the ... Let ABC be an isosceles triangle , having the side AB equal to the side AC , and let the straight lines AB , AC be ...
Seite 12
... Let ABC be a triangle , having the angle ABC equal to the angle ACB : the side AC shall be equal to the side AB . For if AC be not equal to AB , one of them must be greater than the other . Let AB be the greater , and from it cut off DB ...
... Let ABC be a triangle , having the angle ABC equal to the angle ACB : the side AC shall be equal to the side AB . For if AC be not equal to AB , one of them must be greater than the other . Let AB be the greater , and from it cut off DB ...
Seite 14
... Let ABC , DEF be two triangles , having the two sides AB , AC equal to the two sides DE , DF , each to each , namely AB to DE , and AC to DF , and also the base BC equal to the base EF : the angle BÁC shall be equal to the angle EDF ...
... Let ABC , DEF be two triangles , having the two sides AB , AC equal to the two sides DE , DF , each to each , namely AB to DE , and AC to DF , and also the base BC equal to the base EF : the angle BÁC shall be equal to the angle EDF ...
Seite 16
... AB , CF has been drawn at right angles to AB . Q.E.F. Corollary . By the help of this problem it may be shewn that two straight lines cannot have a common segment . If it be possible , let the two straight lines ABC , ABD have the segment ...
... AB , CF has been drawn at right angles to AB . Q.E.F. Corollary . By the help of this problem it may be shewn that two straight lines cannot have a common segment . If it be possible , let the two straight lines ABC , ABD have the segment ...
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Häufige Begriffe und Wortgruppen
ABCD angle ABC angle ACB angle BAC angle EDF angles equal Axiom base BC BC is equal bisects the angle centre chord circle ABC circle described circumference Construction Corollary describe a circle diameter double draw a straight equal angles equal to F equiangular equilateral equimultiples Euclid Euclid's Elements exterior angle given circle given point given straight line gnomon Hypothesis inscribed intersect isosceles triangle less Let ABC magnitudes middle point multiple opposite angles opposite sides parallelogram perpendicular plane polygon produced proportionals PROPOSITION 13 Q.E.D. PROPOSITION quadrilateral radius rectangle contained rectilineal figure remaining angle rhombus right angles right-angled triangle segment shew shewn side BC square on AC straight line &c straight line drawn tangent THEOREM touches the circle triangle ABC triangle DEF twice the rectangle vertex Wherefore