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
... angle , that is , at the point in which the straight lines that contain the angle meet one another , is put between ... equal to one another , each of the angles is called a right angle ; and the straight line which stands on the ...
... angle , that is , at the point in which the straight lines that contain the angle meet one another , is put between ... equal to one another , each of the angles is called a right angle ; and the straight line which stands on the ...
Σελίδα 4
... equal . XXVI . A scalene triangle is that which has three unequal sides . XXVII . A right - angled triangle is that which has a right angle . XXVIII . An obtuse - angled triangle is that which has an obtuse angle . XXIX . An acute ...
... equal . XXVI . A scalene triangle is that which has three unequal sides . XXVII . A right - angled triangle is that which has a right angle . XXVIII . An obtuse - angled triangle is that which has an obtuse angle . XXIX . An acute ...
Σελίδα 9
... angles , to which the equal sides are opposite , shall be equal , each to each , viz . the angle ABC to the angle DEF , and the angle ACB to DFE . A D B E For if the triangle ABC be applied to DEF , so that the point A may be on D , and ...
... angles , to which the equal sides are opposite , shall be equal , each to each , viz . the angle ABC to the angle DEF , and the angle ACB to DFE . A D B E For if the triangle ABC be applied to DEF , so that the point A may be on D , and ...
Σελίδα 10
... equal to one another ; and if the equal sides be produced , the angles upon the other side of the base shall be ... angle ABC shall be equal to the angle ACB , and the angle CBD to the angle BCE . A B F G E D In BD take any point F ...
... equal to one another ; and if the equal sides be produced , the angles upon the other side of the base shall be ... angle ABC shall be equal to the angle ACB , and the angle CBD to the angle BCE . A B F G E D In BD take any point F ...
Σελίδα 11
... equal to the angle GCB , which are the angles upon the other side of the base . Therefore the angles at the base ... equal to one another , the sides also which subtend , or are opposite to , the equal angles , shall be equal to ...
... equal to the angle GCB , which are the angles upon the other side of the base . Therefore the angles at the base ... equal to one another , the sides also which subtend , or are opposite to , the equal angles , shall be equal to ...
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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