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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Σελίδα 2
... is that which is greater than a right angle . XII . An acute angle is that which is less than a right angle . XIII . is the extremity of any thing . ” 辈 XIV . A figure is that which is inclosed 2 EUCLID'S ELEMENTS .
... is that which is greater than a right angle . XII . An acute angle is that which is less than a right angle . XIII . is the extremity of any thing . ” 辈 XIV . A figure is that which is inclosed 2 EUCLID'S ELEMENTS .
Σελίδα 3
... figure contained by a diameter and the part of the circumference cut off by the diameter . XIX . " A segment of a circle is the figure contained by a straight line , and the circumference it cuts off . " XX . Rectilineal figures are ...
... figure contained by a diameter and the part of the circumference cut off by the diameter . XIX . " A segment of a circle is the figure contained by a straight line , and the circumference it cuts off . " XX . Rectilineal figures are ...
Σελίδα 4
... triangle is that which has three acute angles . XXX . Of four - sided figures , a square is that which has all its sides equal , and all its angles right angles . XXXI . An oblong is that which has all its EUCLID'S ELEMENTS . XXV. ...
... triangle is that which has three acute angles . XXX . Of four - sided figures , a square is that which has all its sides equal , and all its angles right angles . XXXI . An oblong is that which has all its EUCLID'S ELEMENTS . XXV. ...
Σελίδα 5
... figures besides these are called Trapeziums . XXXV . Parallel straight lines are such as are in the same plane , and which , being produced ever so far both ways , do not meet . POSTULATES . I. Let it be granted that a straight line may ...
... figures besides these are called Trapeziums . XXXV . Parallel straight lines are such as are in the same plane , and which , being produced ever so far both ways , do not meet . POSTULATES . I. Let it be granted that a straight line may ...
Σελίδα 32
... figure has sides . E D A 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 to each of its angles . And by the preceding ...
... figure has sides . E D A 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 to each of its angles . And by the preceding ...
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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