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 24.
Σελίδα 1
... wholly in that superficies . VIII . " A plane angle is the inclination of two lines to one another in a plane , which meet together , but are not in the same direction . " IX . A plane rectilineal angle is the inclination of 1 EUCLID'S ...
... wholly in that superficies . VIII . " A plane angle is the inclination of two lines to one another in a plane , which meet together , but are not in the same direction . " IX . A plane rectilineal angle is the inclination of 1 EUCLID'S ...
Σελίδα 2
... meet together , but are not in the same straight line . Αγ D B E N.B. " When several angles are at one point B , any one of them is expressed by three letters , of which the letter that is at the vertex of the angle , that is , at the ...
... meet together , but are not in the same straight line . Αγ D B E N.B. " When several angles are at one point B , any one of them is expressed by three letters , of which the letter that is at the vertex of the angle , that is , at the ...
Σελίδα 5
... meet . POSTULATES . I. Let it be granted that a straight line may be drawn from any one point to any other point . II . That a terminated straight line may be produced to any length in a straight line . III . And that a circle may be ...
... meet . POSTULATES . I. Let it be granted that a straight line may be drawn from any one point to any other point . II . That a terminated straight line may be produced to any length in a straight line . III . And that a circle may be ...
Σελίδα 6
... meet two straight lines , so as to make the two interior angles on the same side of it taken together less than two right angles , these straight lines being continually produced , shall at length meet upon that side on which are the ...
... meet two straight lines , so as to make the two interior angles on the same side of it taken together less than two right angles , these straight lines being continually produced , shall at length meet upon that side on which are the ...
Σελίδα 28
... meet towards B , D. In like manner it may be demonstrated that 3 . AB and CD do not meet towards A , C ; but those straight lines which meet neither way , though produced ever so far , are parallel ( Def . 35. ) to one another ...
... meet towards B , D. In like manner it may be demonstrated that 3 . AB and CD do not meet towards A , C ; but those straight lines which meet neither way , though produced ever so far , are parallel ( Def . 35. ) to one another ...
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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