A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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Page 269
... bisection of A B for the point equally illuminated by each light , a result which is manifestly true , upon the supposition that the intensity of the two lights is the same . The other two values are reduced to to say , a that is , they ...
... bisection of A B for the point equally illuminated by each light , a result which is manifestly true , upon the supposition that the intensity of the two lights is the same . The other two values are reduced to to say , a that is , they ...
Page 363
... bisected , or divided into two equal parts , by the line CD , making the angle ACD equal to the angle BCD . A D B Then , the two triangles ACD , BCD , have two sides and the contained angle of the one , equal to two sides and the ...
... bisected , or divided into two equal parts , by the line CD , making the angle ACD equal to the angle BCD . A D B Then , the two triangles ACD , BCD , have two sides and the contained angle of the one , equal to two sides and the ...
Page 365
... bisected in the point E , and draw the line AE , producing it till EF be equal to AE ; and join BF . A B G Then , since the two triangles AEC , BEF , have the side AE the side EF , and the side CE the side BE ( by suppos . ) , and the ...
... bisected in the point E , and draw the line AE , producing it till EF be equal to AE ; and join BF . A B G Then , since the two triangles AEC , BEF , have the side AE the side EF , and the side CE the side BE ( by suppos . ) , and the ...
Page 366
... bisected , it may be shown that the outward angle ABG , or its equal CBD , is greater than the other angle A. THEOREM IX . The greater side , of every triangle , is opposite to the greater angle ; and the greater angle opposite to the ...
... bisected , it may be shown that the outward angle ABG , or its equal CBD , is greater than the other angle A. THEOREM IX . The greater side , of every triangle , is opposite to the greater angle ; and the greater angle opposite to the ...
Page 378
... bisecting it into the two equal parts AD , DB ; then will the sum of the squares of AC , CB , be equal to twice the ... bisect each other ; and the sum of their squares is equal to the sum of the squares of all the four sides of the ...
... bisecting it into the two equal parts AD , DB ; then will the sum of the squares of AC , CB , be equal to twice the ... bisect each other ; and the sum of their squares is equal to the sum of the squares of all the four sides of the ...
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Common terms and phrases
algebraic axis bisected centre chord ciphers circle circumference co-ordinates coefficient contained Corol cosec cosine cube root curve decimal denominator denotes diameter difference differential co-efficient distance Divide dividend division divisor draw dy dx equal EXAMPLES exponent expression extract factors feet figure fraction given number greater greatest common measure Hence hyperbola inches latus rectum least common multiple logarithm manner monomial Multiply negative nth root number of terms parallel parallelogram perpendicular plane polynomial positive Prob PROBLEM Prop proportional quotient radius ratio rectangle Reduce remainder right angles rule sides sine square root straight line substitute subtract tangent THEOREM unknown quantity VULGAR FRACTIONS whole number yards