## 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 K Produce BA to K , making AK = AC , and join KC . • ( 1.2 ) Then . AK is AC ; .. LACK is = L AKC ; ( 1. 2 ) but = BCK is > LACK ; .. BCK is ... Page 30

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**third**. A. B C- Ꮮ E F 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 line ... 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 right 4 s ; .. LS PCR , QCR , PCQ are = one another ; **** .. the arcs PR , QR , PQ are = one another . COR . Hence we may divide ... 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 . .. HN ...### 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