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 sider |
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Side 11
... Q.E.D. COROLLARY . - Hence every equilateral triangle is also equiangular . PROP . VI . - THEOREM . If two angles of a triangle be equal to one another , the sides also which subtend , or are opposite to , the equal angles , shall be ...
... Q.E.D. COROLLARY . - Hence every equilateral triangle is also equiangular . PROP . VI . - THEOREM . If two angles of a triangle be equal to one another , the sides also which subtend , or are opposite to , the equal angles , shall be ...
Side 12
... Q.E.D. PROP . VIII.- - THEOREM . If two triangles have two sides of the one equal to two sides of the other , each to each , and have likewise their bases equal ; the angle which is contained by the two sides of the one shall be equal ...
... Q.E.D. PROP . VIII.- - THEOREM . If two triangles have two sides of the one equal to two sides of the other , each to each , and have likewise their bases equal ; the angle which is contained by the two sides of the one shall be equal ...
Side 13
... Q.E.D. PROP . IX . - PROBLEM . To bisect a given rectilineal angle , that is , to divide it into two equal angles . Let BAC be the given rectilineal angle , it is required to bisect it . Take any point Din AB , and from AC cut ( I. 3 ...
... Q.E.D. PROP . IX . - PROBLEM . To bisect a given rectilineal angle , that is , to divide it into two equal angles . Let BAC be the given rectilineal angle , it is required to bisect it . Take any point Din AB , and from AC cut ( I. 3 ...
Side 17
... Q.e.d. PROP . XIV . THEOREM . If at a point in a straight line , two other straight lines , upon the opposite sides of it , make the adjacent angles together equal to two right angles , these two straight lines shall be in one and the ...
... Q.e.d. PROP . XIV . THEOREM . If at a point in a straight line , two other straight lines , upon the opposite sides of it , make the adjacent angles together equal to two right angles , these two straight lines shall be in one and the ...
Side 18
... Q.E.D. PROP . XV . - THEOREM . If two straight lines cut one another , the vertical , or opposite , angles shall be equal . Let the two straight lines AB , CD , cut one another in the point E ; the angle AEC shall be equal to the ...
... Q.E.D. PROP . XV . - THEOREM . If two straight lines cut one another , the vertical , or opposite , angles shall be equal . Let the two straight lines AB , CD , cut one another in the point E ; the angle AEC shall be equal to the ...
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The Synoptical Euclid; Being the First Four Books of Euclid's Elements of ... Euclid,Samuel A. GOOD Uten tilgangsbegrensning - 1854 |
The synoptical Euclid; being the first four books of Euclid's Elements of ... Euclides Uten tilgangsbegrensning - 1853 |
Vanlige uttrykk og setninger
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