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 at a point , it may be expressed by a letter placed at that point , as the angle at E. " X. When a straight line standing on another straight line makes the adjacent angles equal to one another , each of the angles is called a right ...
... angle at a point , it may be expressed by a letter placed at that point , as the angle at E. " X. When a straight line standing on another straight line makes the adjacent angles equal to one another , each of the angles is called a right ...
Σελίδα 4
... 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 - angled triangle is that which has three acute angles . XXX . Of four - sided figures ...
... 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 - angled triangle is that which has three acute angles . XXX . Of four - sided figures ...
Σελίδα 5
... angles right angles , but has not all its sides equal . XXXII . A rhombus is that which has all its sides equal , but its angles are not right angles . XXXIII . A rhomboid is that which has its opposite sides equal to one another , but ...
... angles right angles , but has not all its sides equal . XXXII . A rhombus is that which has all its sides equal , but its angles are not right angles . XXXIII . A rhomboid is that which has its opposite sides equal to one another , but ...
Σελίδα 6
... right angles are equal to one another . XII . " If a straight line 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 ...
... right angles are equal to one another . XII . " If a straight line 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 ...
Σελίδα 14
... right angles to a given straight line , from a given point in the same . Let AB be a given straight line , and C a point given in it ; it is required to draw a straight line from the point C , at right angles to AB . Take any point D in ...
... right angles to a given straight line , from a given point in the same . Let AB be a given straight line , and C a point given in it ; it is required to draw a straight line from the point C , at right angles to AB . Take any point D in ...
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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