## Euclidian Geometry |

### From inside the book

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**Tangents**. 16 , 18 , 19 17 20 Parallels . Lemma 27 , 28 m .. .II . 9 , 10 .31 n p ջ Contact of OS . 2 7 . 5 , 6 21 ( 29 ) 22 ( 30 ) I. 21 ......... 7 ... 29 8 . ΤΟ 9 ............... 13 23 ..33 I. 22 24 .32 I. 25 25 ( 268 ) ... Page 103

... which is impossible ; ( 1.13 ) .. SAT does not cut the O. Similarly it may be shewn that it has no other point be- sides A in common with the circumference . Moreover , besides SAT no other straight line can be

... which is impossible ; ( 1.13 ) .. SAT does not cut the O. Similarly it may be shewn that it has no other point be- sides A in common with the circumference . Moreover , besides SAT no other straight line can be

**TANGENTS**. Τ ... Page 104

... through A so as not to cut the . DEFINITION . A straight line which meets a circle and which , if produced , will not cut it , is said to touch the circle . Conversely : If a straight line touch a circle the 104

... through A so as not to cut the . DEFINITION . A straight line which meets a circle and which , if produced , will not cut it , is said to touch the circle . Conversely : If a straight line touch a circle the 104

**TANGENTS**. X T ... Page 105

... the point of contact shall pass through the centre . For from the point of contact only one straight line can be drawn to the

... the point of contact shall pass through the centre . For from the point of contact only one straight line can be drawn to the

**tangent**, and that through the centre is + to it . PROBLEM B. Draw a**tangent**to a circle from a**TANGENTS**. 105. Page 106

Francis Cuthbertson. PROBLEM B. Draw a

Francis Cuthbertson. PROBLEM B. Draw a

**tangent**to a circle from a given point . H R If the given point is on the circumference , then the straight line drawn to the radius through that point will be a**tangent**. If the given point is ...### 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