A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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Page 358
... Rectangle , Square , Rhombus , Rhom- boid . 33. A Rectangle is a parallelogram , having a right angle . 34. A Square is an equilateral rectangle ; having its length and breadth equal , or all its sides equal , and all its angles equal ...
... Rectangle , Square , Rhombus , Rhom- boid . 33. A Rectangle is a parallelogram , having a right angle . 34. A Square is an equilateral rectangle ; having its length and breadth equal , or all its sides equal , and all its angles equal ...
Page 371
... rectangle . Corol . 2. Hence also , the sum of any two adjacent angles of a parallelogram is equal to two right angles . THEOREM XXIII . Every quadrilateral , whose opposite sides are equal , is a parallelogram , or has its opposite ...
... rectangle . Corol . 2. Hence also , the sum of any two adjacent angles of a parallelogram is equal to two right angles . THEOREM XXIII . Every quadrilateral , whose opposite sides are equal , is a parallelogram , or has its opposite ...
Page 373
... Rectangles that are contained by equal lines , are equal to each other . Let BD , FH , be two rectangles , having the sides AB , BC , equal to the sides EF , FG , each to each ; then will the rectangle BD be equal to the rectangle FH ...
... Rectangles that are contained by equal lines , are equal to each other . Let BD , FH , be two rectangles , having the sides AB , BC , equal to the sides EF , FG , each to each ; then will the rectangle BD be equal to the rectangle FH ...
Page 374
... rectangle contained under the two whole lines . Let AD be the one line , and AB the other , divided into the parts AE , EF , FB ; then will the rectangle contained by AD and AB , be equal to the sum of the rectangles of AD and AE , and ...
... rectangle contained under the two whole lines . Let AD be the one line , and AB the other , divided into the parts AE , EF , FB ; then will the rectangle contained by AD and AB , be equal to the sum of the rectangles of AD and AE , and ...
Page 375
... rectangle of the said lines . Let AC , BC , be any two lines , and AB their differ . ence : then will the square of AB be less than the squares of AC , BC , by twice the rectangle of AC and BC . Or , AB2 = AC2 + BC2 . 2 AC . BC . - For ...
... rectangle of the said lines . Let AC , BC , be any two lines , and AB their differ . ence : then will the square of AB be less than the squares of AC , BC , by twice the rectangle of AC and BC . Or , AB2 = AC2 + BC2 . 2 AC . BC . - For ...
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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