A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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Page 312
... 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 325
... 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 327
... 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 328
... 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 329
... 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 , AB = AC + BC2 - 2 AC . BC . For , let ...
... 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 , AB = AC + BC2 - 2 AC . BC . For , let ...
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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