## Euclidian Geometry |

### From inside the book

Results 1-5 of 41

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**Rectangles**. Intra ... II Cor . 27 46 Cor . I 28 2 St. lines , 4s and △ s . 29 30 12345ABL 4 H 32 Cor . VI . 9 3 I , 2 , 3 4 ... 10 12 4 13 A 5 K .46 14 B ..26a 6 11 IV . IO 8 Sup . to Book II . I Areas . 9 C Right Ls . ΙΟ 31 32 35 ... Page 45

... SPQ opposite to these are right △ 5. ( 1.26 ) DEFINITION . A

... SPQ opposite to these are right △ 5. ( 1.26 ) DEFINITION . A

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

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**rectangle**are equal , the figure is a square . B 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 , ( 1. 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 ... Page 53

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**rectangle**on the same base and between the same parallels . = i.e. a is the**rectangle**having the same base and altitude ; but all**rectangles**having equal bases and altitudes are equal . .. = ais any**rectangle**of equal base and altitude ...### Other editions - View all

### Common terms and phrases

applied base bisect Cambridge centre chapter chord circle circumference cloth College common complete contained Crown 8vo DEFINITION describe diameter difference divided double draw drawn Edition elementary English equal equiangular Examination Examples extremities fall fcap figure Find former four GEOMETRY given point given straight line Grammar greater Hence illustrations impossible inscribed introduction Join language Latin less magnitudes Master Mathematical meet method Notes opposite parallel parallelogram pass perpendicular plane polygon possible present principles PROBLEM produced Professor proportional PROPOSITION prove ratio reader rect rectangle rectilineal respectively revised right angles Schools Second Edition segment selected sides similar Similarly square taken tangent THEOREM third touch TREATISE triangle twice University volume whole