## Euclidian Geometry |

### From inside the book

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Page xvi

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**double**of equal things are equal to one another . Things which are halves of equal things are equal to one another . Equimultiples of equal things are equal . Things , of which the equimultiples are equal , are themselves equal . If one ... Page 52

... the ABCD . W If the sides opposite the base terminate in the same . point D , then each of the □ s is

... the ABCD . W If the sides opposite the base terminate in the same . point D , then each of the □ s is

**double**of the △ DBC ; ( 1. 26 ) .. □ ABCD is = DBCF . DEFINITIONS . The greatest perpendicular which can be let fall ( 52 ) Page 54

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**double**of the triangle . Let E E IN D B X B X the EBCD and the △ ABC be on the same base BC , and between the same parallels . Then shall EBCD be**double**of a ABC . Δ ( 1. 26 ) If the vertex A of the △ ABC is at D or E the pro ... Page 57

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**double**of the ARPH , because they are on the same base and between the same parallels . ( 1.32 ) Also · . · FRP and QRP are right 4 s ; .. FRQ is a straight line ( 1. 10 ) , and it is || to SP . .. □ SPRF is**double**of the △ SPQ , ( 1 ... Page 59

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**double**of the △ FRH ; SH is**double**of △ FRH , . they are upon the same base and between the same parallels . ( I. 32 ) .. □ SH is = △ FGH , and it has an SRH equal to the given angle K. PROBLEM M. To a given straight line apply a ...### 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