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... angles equal to a given angle . ( Euclid , Book I. , Prop . 42. ) 2. Prove that the square described on the hypotenuse of a right angled triangle is equal to the squares described on the other two sides . ( Euclid , Book I. , Prop . 47 ...
... angles equal to a given angle . ( Euclid , Book I. , Prop . 42. ) 2. Prove that the square described on the hypotenuse of a right angled triangle is equal to the squares described on the other two sides . ( Euclid , Book I. , Prop . 47 ...
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... angle contained by its segments may be equal to a given rect- angle . ( Book VI . , Prop . 28. ) 5. If the exterior or interior vertical angle of a triangle be bisected by a straight line which also cuts the base , the square on this ...
... angle contained by its segments may be equal to a given rect- angle . ( Book VI . , Prop . 28. ) 5. If the exterior or interior vertical angle of a triangle be bisected by a straight line which also cuts the base , the square on this ...
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... angles which are mul- tiples of 30 ° and less than 360 ° . 3. Find the cosine of an angle in terms of the cosine of an angle of one - third of its magnitude . 4. If a , b , c are the lengths of the sides of a triangle and A , B , C ...
... angles which are mul- tiples of 30 ° and less than 360 ° . 3. Find the cosine of an angle in terms of the cosine of an angle of one - third of its magnitude . 4. If a , b , c are the lengths of the sides of a triangle and A , B , C ...
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... angle 64 ° 12 ' ; find the other angles , having given log 2.3010300 , L tan 57 ° 54 ' 10.2025255 , = L tan 11 ° 16 ' = 9.2993216 , L tan 11 ° 17 ' = 9.2999804 . 10. A ship sailing due north observes two lighthouses bearing respectively ...
... angle 64 ° 12 ' ; find the other angles , having given log 2.3010300 , L tan 57 ° 54 ' 10.2025255 , = L tan 11 ° 16 ' = 9.2993216 , L tan 11 ° 17 ' = 9.2999804 . 10. A ship sailing due north observes two lighthouses bearing respectively ...
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... angle and the radii of the inscribed and circumscribed circles . 6. In a triangle ABC , draw a straight line DE parallel to AB , meeting the sides AC and BC in D and E respectively , and such that DE is a mean proportional between BE ...
... angle and the radii of the inscribed and circumscribed circles . 6. In a triangle ABC , draw a straight line DE parallel to AB , meeting the sides AC and BC in D and E respectively , and such that DE is a mean proportional between BE ...