A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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Page 265
... 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 . a The two other values are reduced to that is , they become ...
... 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 . a The two other values are reduced to that is , they become ...
Page 317
... 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 319
... bisected in the point E , and draw the line AE , producing it till EF be equal to AE ; and join BF . F B D 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 . F B D 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 320
... 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 332
... 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 ALGEBRAIC QUANTITIES altitude axis base bisected body centre chord circle circumference co-ordinates Corol cosec cosine cube curve decimal denominator diameter difference differential co-efficient distance divide divisor draw dy dx equal equation Example exponent expression extract feet figure force fraction given gravity Hence hyperbola inches latus rectum least common multiple length logarithm manner monomial multiply nth root number of terms parabola parallel parallelogram perpendicular polynomial Prob PROBLEM PROP proportional quotient radius ratio rectangle reduced right angles rule sides sine specific gravity square root straight line Substituting subtract tangent THEOREM triangle ABC unknown quantity velocity VULGAR FRACTIONS weight whole number yards