## Euclidian Geometry |

### From inside the book

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Page 45

... 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

... 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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**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 hypothesis , AB is = .. ABCD is equilateral ... Page 50

... and ... AB is divided into five equal parts . ( I. 26 ) In like manner may a straight line be divided into any given number of equal parts . PROBLEM K. Describe a

... and ... AB is divided into five equal parts . ( I. 26 ) In like manner may a straight line be divided into any given number of equal parts . PROBLEM K. Describe a

**square**on a given straight line 50 QUADRILATERALS AND MULTILATERALS . Page 51

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**square**on AB . Through A draw AC 1 to AB , from AC cut off AH = AB . Through H draw HK || to AB , and through B draw BK to AH . Then ABKH shall be the**square**required . For , by construction , AK is a . .. AB is = HK , ( I. 26 ) and AH ... Page 57

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**square**on the side oppo- site the right be equal to PF , RK . Through R draw RC to PH ; join RH , SQ . Now the right ...**square**on PR . Similarly it may be proved that the QC is = the**square**on RQ ; .. the whole figure PHNQ , that is the ...### 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