Euclidian Geometry |
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Page xi
... rect . figs . 7 II .. 138 19 8 .20 12 22 Parallel lines . Parallel planes . 9 ΤΟ .31 13 14 F .18 14 16 G .25 A IO , 15 ... .II , 15 , 16 B 17 12 Comp . of Os . Planes to planes . 14 II ......... XII . I 15 18 13 12 .... XII . 2 , & c ...
... rect . figs . 7 II .. 138 19 8 .20 12 22 Parallel lines . Parallel planes . 9 ΤΟ .31 13 14 F .18 14 16 G .25 A IO , 15 ... .II , 15 , 16 B 17 12 Comp . of Os . Planes to planes . 14 II ......... XII . I 15 18 13 12 .... XII . 2 , & c ...
Page 47
... adjacent sides respectively a , b will be spoken of as the " rectangle contained by ( a , b ) , " which will be written thus , " rect . ( a , b ) . " ་ ་ PROPOSITION XXX . If the sides of a QUADRILATERALS AND MULTILATERALS . 47.
... adjacent sides respectively a , b will be spoken of as the " rectangle contained by ( a , b ) , " which will be written thus , " rect . ( a , b ) . " ་ ་ PROPOSITION XXX . If the sides of a QUADRILATERALS AND MULTILATERALS . 47.
Page 84
... rect- angle A , B. Also , if A and B be unequal and D be their difference , the rectangle S , D is the difference between the squares on A , B ; and the square on D is < the squares on A and B by twice the rectangle A , B. A B S D ...
... rect- angle A , B. Also , if A and B be unequal and D be their difference , the rectangle S , D is the difference between the squares on A , B ; and the square on D is < the squares on A and B by twice the rectangle A , B. A B S D ...
Page 85
... rect . D , B + sq . on B + rect . A , B = sqq . on A , B ; .. square on D + twice rectangle A , B = squares on A , B. COR . It follows from the proposition that squares on S , D + twice rectangle A , B = twice squares on A , B + twice ...
... rect . D , B + sq . on B + rect . A , B = sqq . on A , B ; .. square on D + twice rectangle A , B = squares on A , B. COR . It follows from the proposition that squares on S , D + twice rectangle A , B = twice squares on A , B + twice ...
Page 89
... rect- angle contained by the whole and one of the parts may be equal to the square on the other part . Let PQ be the given straight line . On PQ describe the square PR . Bisect PS in K and join QK . Produce SP and cut off KG = KQ . On ...
... rect- angle contained by the whole and one of the parts may be equal to the square on the other part . Let PQ be the given straight line . On PQ describe the square PR . Bisect PS in K and join QK . Produce SP and cut off KG = KQ . On ...
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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