The Synoptical Euclid; Being the First Four Books of Euclid's Elements of Geometry, from the Edition of Dr. Robert Simson ... With ExercisesCharles Henry Law, 1854 - 120 σελίδες |
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Αποτελέσματα 1 - 5 από τα 16.
Σελίδα 85
... inscribed in a circle , are together equal to two right angles . Let ABCD be a quadrilateral figure in the circle ABCD ; any two of its opposite angles are together equal to two right angles . Join AC , BD ; and because the three angles ...
... inscribed in a circle , are together equal to two right angles . Let ABCD be a quadrilateral figure in the circle ABCD ; any two of its opposite angles are together equal to two right angles . Join AC , BD ; and because the three angles ...
Σελίδα 101
... inscribed in another rectilineal figure , when all the angular points of the inscribed figure are upon the sides of the figure upon which it is inscribed , each upon each . II . In like manner , a figure is said to be described about ...
... inscribed in another rectilineal figure , when all the angular points of the inscribed figure are upon the sides of the figure upon which it is inscribed , each upon each . II . In like manner , a figure is said to be described about ...
Σελίδα 102
... inscribed in a rectilineal figure , when the circumference of the circle touches each side of the figure . VI . A circle is said to be described about a rectilineal figure , when the cir- cumference of the circle passes through all the ...
... inscribed in a rectilineal figure , when the circumference of the circle touches each side of the figure . VI . A circle is said to be described about a rectilineal figure , when the cir- cumference of the circle passes through all the ...
Σελίδα 103
... inscribe a triangle equiangular to a given triangle . Let ABC be the given circle , and DEF the given triangle ; it is ... inscribed in the circle ABC . Q.E.F. PROP . III . - PROBLEM . About a given circle to describe a triangle ...
... inscribe a triangle equiangular to a given triangle . Let ABC be the given circle , and DEF the given triangle ; it is ... inscribed in the circle ABC . Q.E.F. PROP . III . - PROBLEM . About a given circle to describe a triangle ...
Σελίδα 104
... inscribe a circle in a given triangle . Let the given triangle be ABC ; it is required to inscribe a circle in ABC . Bisect ( I. 9. ) the angles ABC , BCA , by the straight lines BD , CD , meeting one another in the point D , from which ...
... inscribe a circle in a given triangle . Let the given triangle be ABC ; it is required to inscribe a circle in ABC . Bisect ( I. 9. ) the angles ABC , BCA , by the straight lines BD , CD , meeting one another in the point D , from which ...
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AB is equal AC is equal adjacent angles angle ABC angle ACB angle AGH angle BAC angle BCD angle EDF angle equal base BC bisected circle ABC circumference diameter double draw equal angles equal Constr equal Hyp equal straight lines equal to BC equilateral and equiangular EUCLID'S ELEMENTS exterior angle given circle given point given rectilineal angle given straight line given triangle gnomon greater inscribed interior and opposite less Let ABC Let the straight likewise opposite angles parallel to CD parallelogram pentagon perpendicular point F produced Q.E.D. PROP rectangle AE rectangle contained remaining angle required to describe right angles semicircle side BC square of AC straight line AB straight line AC straight line drawn touches the circle triangle ABC twice the rectangle