## Euclidian Geometry |

### From inside the book

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Page vi

... homologous sides and then calculating their duplicate ratio . In order to make the Second Book , which treats of the relations existing between the

... homologous sides and then calculating their duplicate ratio . In order to make the Second Book , which treats of the relations existing between the

**rectangles**under the segments of a line divided in various ways , available for vi PREFACE . Page x

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**Rectangles**. I , 2 , 3 4 ... 10 12 13 A 2 5 K .46 ..... 14 B 3 + 54BU ..26a 6 ..... II C IV . IO 8 A I В C IO Right Ls . Areas . 31 ......... 35 , 36 32 ...... ..41 , 37 , 38 33 39 , 40 Sup . to Book II . 618 96 S 10 II 12 13 14 15 ... Page 45

... SPQ opposite to these are right 4 s . ( 1.26 ) DEFINITION . A

... SPQ opposite to these are right 4 s . ( 1.26 ) DEFINITION . A

**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

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**rectangle**are equal , the figure is a square . Let ABCD be the**rectangle**contained by AB , AD , and let AB be = AD . Then ABCD is a square . For since ABCD is a □ , .. AD is = BC , ( 1. 26 ) and AB is = DC , ( I. 26 ) also , by ... Page 47

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**rectangle**are equal respectively to two adjacent sides of another , 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 ...### 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 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 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