## Euclidian Geometry |

### From inside the book

Results 6-10 of 33

Page 16

... is = EA , DF = EF , and AF

... is = EA , DF = EF , and AF

**common**to the two AS DAF , EAF .. these as are equal in all respects ; ..L DAF is = LEAF , .. AF is to BC . ( I. 5 ) ( Def . ) " PROPOSITION VIII . From a given point in a given 16 RIGHT ANGLES . Page 37

... rights ; ... they are togethers BFG , AFG : take away the

... rights ; ... they are togethers BFG , AFG : take away the

**common**↳ BFG ; ( 1.9 ) LFGD is = L AFG , and these are alternate angles ; .. AB is I to CD . PROPOSITION XXI . If a straight line meets two parallel PARALLELS : 37 . Page 66

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**common**to the two as ARS , ART ; .. RS is = RT , or R is equidistant from AB and AC ; the locus of the point equidistant from AB , AC , is the line bisecting the angle between them . DEDUCTION ( ƒ ) . The bisectors of the Ls 66 ... Page 69

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**common**arm equal to a given straight line . B P Q Let A , B be the given angles and C the given straight line . Take PQC , at P and Q make 4 s QPR , PQR = A and B. Then PQR is the required a . N. B. This problem is impossible if the two ... Page 89

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**common**part , the figure PH , ... the remainder GC the remainder CR , = but GC is the square on PC and CR is = rectangle PQ , QC , for QR is = PQ ; ... rectangle PQ , QC = square on PC . PROBLEM C. To describe an isosceles triangle ...### 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