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
... manner , and to make it , as it were , its own interpreter , so as to obviate , as much as possible , the necessity of books of questions , notes , and explanations . The leading feature of the work is , that the principal steps in ...
... manner , and to make it , as it were , its own interpreter , so as to obviate , as much as possible , the necessity of books of questions , notes , and explanations . The leading feature of the work is , that the principal steps in ...
Side 15
... manner , because ABD is a straight line , 2. The angle DBE is equal to the angle EBA ; wherefore ( Ax . 1. ) 3. The angle DBE is equal to the angle CBE , the less to the greater , which is impossible ; therefore 4 . Two straight lines ...
... manner , because ABD is a straight line , 2. The angle DBE is equal to the angle EBA ; wherefore ( Ax . 1. ) 3. The angle DBE is equal to the angle CBE , the less to the greater , which is impossible ; therefore 4 . Two straight lines ...
Side 18
... manner it may be demonstrated that no other can be in the same straight line with it but BD , therefore 5. BD is in the same straight line with CB . Wherefore , if at a point , & c . Q.E.D. PROP . XV . - THEOREM . If two straight lines ...
... manner it may be demonstrated that no other can be in the same straight line with it but BD , therefore 5. BD is in the same straight line with CB . Wherefore , if at a point , & c . Q.E.D. PROP . XV . - THEOREM . If two straight lines ...
Side 19
... manner it can be demonstrated that 5. The angles CEB , 4ED , are equal . Therefore , if two straight lines , & c . Q.E.D. COR . 1. - From this it is manifest , that , if two straight lines cut one another , the angles they make at the ...
... manner it can be demonstrated that 5. The angles CEB , 4ED , are equal . Therefore , if two straight lines , & c . Q.E.D. COR . 1. - From this it is manifest , that , if two straight lines cut one another , the angles they make at the ...
Side 20
... manner , it may be demonstrated , that 5. BAC , ACB , as also CAB , ABC , are less than two right angles . Therefore any two angles , & c . Q.E.D. PROP . XVIII . -THEOREM . The greater side of every triangle is opposite to the greater ...
... manner , it may be demonstrated , that 5. BAC , ACB , as also CAB , ABC , are less than two right angles . Therefore any two angles , & c . Q.E.D. PROP . XVIII . -THEOREM . The greater side of every triangle is opposite to the greater ...
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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