## Euclidian Geometry |

### From inside the book

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**Chords**. Sup , to Book I. I 2 2 ..18 I , 3 a 3 9 G Parallels . Lemma 20 ........ 27 , 28 14 15 16 17 18 19 345 7 " SOPHEU ..19 . ..20 .... 21 .24 25 D 22 C d 454 14 15 A 25 Tangents . 23 6 16 , 18 , 19 B 17 C m ......... II , 9 , 10 n ... Page 94

... ; i.e. four times rectangle ( HG , HS ) , and .. four times rectangle ( AB , BC ) . = square on AC is greater than square on AD by four times rectangle ( AB , BC ) . BOOK III . THE CIRCLE .

... ; i.e. four times rectangle ( HG , HS ) , and .. four times rectangle ( AB , BC ) . = square on AC is greater than square on AD by four times rectangle ( AB , BC ) . BOOK III . THE CIRCLE .

**CHORDS**. DEFINITION . 94 SUPPLEMENT TO BOOK II . Page 95

Francis Cuthbertson (M.A.). BOOK III . THE CIRCLE .

Francis Cuthbertson (M.A.). BOOK III . THE CIRCLE .

**CHORDS**. DEFINITION . The straight line joining any two points in the circum- ference of a circle is called a**chord**of the circle . PROPOSITION I. The straight line joining any two ... Page 96

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**chord**. I B Let AB be a**chord**of a of which Cis the centre . Then the straight line CH through C and the middle point H of AB shall be 1 to AB . Join CA , CB . Then · . · AH , HC , CA are respectively = BH , HC , CB ; .. LAHC = L BHC ... Page 97

... . SH is to PQ . ( 1.5 ) .. the centre of the is in the straight line HS . ( 111.2 ) Similarly it is in the straight line KS ; C. G. .. S is the centre of the © PQR . 7 DEFINITION . Straight lines are said to be equally distant

... . SH is to PQ . ( 1.5 ) .. the centre of the is in the straight line HS . ( 111.2 ) Similarly it is in the straight line KS ; C. G. .. S is the centre of the © PQR . 7 DEFINITION . Straight lines are said to be equally distant

**CHORDS**. 97.### 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