## Euclidian Geometry |

### From inside the book

Results 6-10 of 33

Page 32

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**less**than any other straight line AR drawn from A to BC . For since AQR is a right angle , .. ARQ is a right angle ; ( I. 13 ) .. ARQ is < LAQR ; .. AQ is < AR . ( 1. 15 ) Hence AQ is the shortest path from A to BC . NOTE . By the ... Page 62

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**less**than the more remote ; also to every straight line drawn on one side of the perpendicular there can be drawn one and only one straight line equal to it on the other side . B R Q Р R Let AP be the perpendicular from A on BC ; AQ ... Page 69

... 4 s QPR , PQR = A and B. Then PQR is the required a . N. B. This problem is impossible if the two given angles are not together

... 4 s QPR , PQR = A and B. Then PQR is the required a . N. B. This problem is impossible if the two given angles are not together

**less**than two right S. PROBLEM ( k ) . To describe a triangle having SUPPLEMENT TO BOOK I. 69. Page 70

... YXZ , XYZ = L s QAP , QAS . Then XYZ is the required △ . N.B. This problem is impossible if the two given angles are not together

... YXZ , XYZ = L s QAP , QAS . Then XYZ is the required △ . N.B. This problem is impossible if the two given angles are not together

**less**than two right angles . PROBLEM ( 2 ) . To describe a triangle having 70 SUPPLEMENT TO BOOK 1 . Page 75

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**less**. A X D B Let AB CD , be the two given straight lines of which CD is the greater . It is required to cut off from CD a part = AB . From C draw a straight line CX = AB . With centre C and radius CX describe a circle cutting CD in Z ...### 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