The Synoptical Euclid; Being the First Four Books of Euclid's Elements of Geometry from the Edition of Dr. Robert Simson ... With Exercises. By S. A. Good ... Second EditionCharles Henry Law, 1854 - 120 σελίδες |
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Σελίδα 2
... ÃBC , or CBA ; that which is contained by AB , BD , is named the angle ABD , or DBÁ ; and that which is con- tained ... equal to one another , each of the angles is called a right angle ; and the straight line which stands on the other ...
... ÃBC , or CBA ; that which is contained by AB , BD , is named the angle ABD , or DBÁ ; and that which is con- tained ... equal to one another , each of the angles is called a right angle ; and the straight line which stands on the other ...
Σελίδα 7
... ABC shall be an equilateral triangle . C E Because the point A is the centre of the circle BCD , ( Definition 15. ) AC is equal to AB ; 1 . and because the point B is the centre of the circle ACE , 2 . BC is equal to BA . But it has ...
... ABC shall be an equilateral triangle . C E Because the point A is the centre of the circle BCD , ( Definition 15. ) AC is equal to AB ; 1 . and because the point B is the centre of the circle ACE , 2 . BC is equal to BA . But it has ...
Σελίδα 9
shall be equal , each to each , viz . those to which the equal sides are opposite . Let ABC , DEF be two triangles which have the two sides AB , AC equal to the two sides DE , DF , each to each , viz . AB to DE , and AC to DF ; and the ...
shall be equal , each to each , viz . those to which the equal sides are opposite . Let ABC , DEF be two triangles which have the two sides AB , AC equal to the two sides DE , DF , each to each , viz . AB to DE , and AC to DF ; and the ...
Σελίδα 10
... equal to one another ; and if the equal sides be produced , the angles upon the other side of the base shall be equal . Let ABC be an isosceles triangle , of which the side AB is equal to AC , and let the straight lines AB , AC , be ...
... equal to one another ; and if the equal sides be produced , the angles upon the other side of the base shall be equal . Let ABC be an isosceles triangle , of which the side AB is equal to AC , and let the straight lines AB , AC , be ...
Σελίδα 11
... ABC . And it has also been proved that the angle FBC is equal to the angle GCB , which are the angles upon the other ... equal to one another , the sides also which subtend , or are opposite to , the equal angles , shall be equal to one ...
... ABC . And it has also been proved that the angle FBC is equal to the angle GCB , which are the angles upon the other ... equal to one another , the sides also which subtend , or are opposite to , the equal angles , shall be equal to one ...
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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