## Euclidian Geometry |

### From inside the book

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Page 45

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**rectangle**is a right - angled parallelogram , and is said to be**contained**by any two of its adjacent sides . DEFINITION . A square is a four - sided figure QUADRILATERALS . 45. Page 46

... rectangle are equal , the figure is a square . Let ABCD be the

... rectangle are equal , the figure is a square . Let ABCD be the

**rectangle contained**by AB , AD , and let AB be = AD ... rectangular ; .. ABCD is a square . PROPOSITION XXIX . If the sides and angles of one 46 QUADRILATERALS . Page 47

... rectangles are equal in all respects . N.B. If a , b are two straight lines , then a rectangle having two of its adjacent sides respectively = a , b will be spoken of as the "

... rectangles are equal in all respects . N.B. If a , b are two straight lines , then a rectangle having two of its adjacent sides respectively = a , b will be spoken of as the "

**rectangle contained**by ( a , b ) , " which will be written ... Page 82

Francis Cuthbertson. BOOK II . RECTANGLES . PROPOSITION I. If there be two straight lines , one of which is divided into any number of parts , the

Francis Cuthbertson. BOOK II . RECTANGLES . PROPOSITION I. If there be two straight lines , one of which is divided into any number of parts , the

**rectangle contained**by the two straight lines is equal to the**rectangles contained**by the ... Page 83

... rectangle BC , BP + rectangle BC , PQ + rectangle BC , QC . Hence , if a straight line be divided into any number of parts , the square on the whole line is equal to the sum of the

... rectangle BC , BP + rectangle BC , PQ + rectangle BC , QC . Hence , if a straight line be divided into any number of parts , the square on the whole line is equal to the sum of the

**rectangles contained**by the whole line and the several ...### Other editions - View all

### Common terms and phrases

Algebra base Cambridge centre chord circumference cloth Conic Sections Crown 8vo Describe a circle diagonals diameter divided draw a straight ELEMENTARY TREATISE English equiangular equilateral Euclid Examples Extra fcap fcap GEOMETRY given angle given circle given point given straight line Grammar greater H Let Hence inscribed intersecting isosceles triangle Latin Let ABC line bisecting locus Mathematical meet opposite angles Owens College parallel parallelogram perimeter perpendicular plane polygon PROBLEM produced Professor proportional PROPOSITION ratio rect rectangle rectangle contained rectilineal figure regular polygon respectively revised rhombus right angles Schools Second Edition segment similar Similarly squares on AC straight line drawn straight line joining tangent THEOREM TRIGONOMETRY twice rectangle twice the squares vertex