## Euclidian Geometry |

### From inside the book

Results 1-5 of 26

Page vii

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**Third**Book a section has been added on the equal subdivision of the circumference of a circle , thus preparing the way for a more general consider- ation of the subject of regular polygons . In the Fourth Book the areas and perimeters ... Page 26

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**third**. Let ABC be a △ . Then shall any two of its sides , as AB , AC , be together > BC . B Produce BA to K , making AK = AC , and join KC . Then . AK is = AC ; .. LACK is = LAKC ; ( 1. 2 ) BCK is > LACK ; but .. LBCK is LAKC , i.e. 4 ... Page 30

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**third**. B C- A. 430 E L M K Let A , B , C be the three given straight lines , any two of them being together greater than the**third**. It is required to describe a △ having its sides equal to A , B , C respectively . Take a straight ... Page 127

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**third**of two rights ; .. LS PCR , QCR are each two thirds of two right 4 s , and PCQ = two thirds of two rights ; .. LS PCR , QCR , PCQ are = one another ; .. the arcs PR , QR , PQ are = one another . COR . Hence we may divide the ... Page 128

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**third**of the Oce , and GH = one - fifth of the Oce , bisect the arc HN in K. Then the Oce may be divided into fifteen parts each = HK . For of such parts , as the Oce contains fifteen , GN contains five , and GH contains three . N K H ...### 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