Geometry for schools, comprising books i. and ii. of Euclid, with some additions and numerous exercises, by A.J.G. BarclayOliver & Boyd, 1883 - 96 sider |
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Side 7
... position , but not magni- tude . 2. A line is length without breadth . The extremities of a line are points , and ... positions , and if in oogh nsition the 6. An angle is formed by two straight lines that Book Definitions,
... position , but not magni- tude . 2. A line is length without breadth . The extremities of a line are points , and ... positions , and if in oogh nsition the 6. An angle is formed by two straight lines that Book Definitions,
Side 15
... Superposition , which is the ultimate test of equality ( Ax . 9 ) . 4. Prove the above proposition when one of the triangles is placed in inverted , or in reversed , position . For Euclid , I. 5 , see Appendix to Book GEOMETRY . 15.
... Superposition , which is the ultimate test of equality ( Ax . 9 ) . 4. Prove the above proposition when one of the triangles is placed in inverted , or in reversed , position . For Euclid , I. 5 , see Appendix to Book GEOMETRY . 15.
Side 18
... position of △ GEF on the opposite side of EF to △ DEF . Join DG . EG is BA it ED ( given ) , = and EDG = △ EGD ( I. 5 ) . Similarly FDG = FGD . : . △ EDF = △ EGF ( Ax . 2 ) ; but EGF is A , .. LA = LEDF . Again = △ BA , AC ED , DF ...
... position of △ GEF on the opposite side of EF to △ DEF . Join DG . EG is BA it ED ( given ) , = and EDG = △ EGD ( I. 5 ) . Similarly FDG = FGD . : . △ EDF = △ EGF ( Ax . 2 ) ; but EGF is A , .. LA = LEDF . Again = △ BA , AC ED , DF ...
Side 24
... position of CE , then EB will at the same time revolve into position of DE . .. whatever amount of turning is re- quired to bring AE into position of CE , a like amount of turning will bring BE into position of DE ; .. 4 AEC 4 BED ...
... position of CE , then EB will at the same time revolve into position of DE . .. whatever amount of turning is re- quired to bring AE into position of CE , a like amount of turning will bring BE into position of DE ; .. 4 AEC 4 BED ...
Side 28
... position and proved in other ways . ~ Prove it as an exercise depending on I. 18 . 44. In a right - angled triangle the side opposite the right angle is the greatest side of the triangle . ( This side is called the hypotenuse . ) 45 ...
... position and proved in other ways . ~ Prove it as an exercise depending on I. 18 . 44. In a right - angled triangle the side opposite the right angle is the greatest side of the triangle . ( This side is called the hypotenuse . ) 45 ...
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Geometry For Schools, Comprising Books I. And Ii. Of Euclid, With Some ... Euclides Ingen forhåndsvisning - 2019 |
Geometry For Schools, Comprising Books I. And Ii. Of Euclid, With Some ... Euclides Ingen forhåndsvisning - 2019 |
Almindelige termer og sætninger
AC² angle contained angles equal angular points Atlas base BC BC² bisect Boyd's School Carefully Revised centre Coloured Maps cons construct a triangle diagonals Dr Douglas's Dr Reid's Edinburgh Academy Euclid Exercises exterior angle figure has sides find a point four right angles full-coloured Maps George Watson's College given line given point given straight line given triangle hypotenuse interior isosceles triangle late Head Master Lawson's LL.D middle points Modern Geography Oliver and Boyd's opposite angles opposite sides Outline of Sacred parallelogram perpendicular Physical Geography point in CD polygon produced PROP proposition prove quadrilateral Questions for Examination rect rectangle contained reflex angle regular polygon Reid's Elements rhombus right-angled triangle Rudiments of Modern Sacred Geography showing Recent sides equal square St Mark's College Text-Book THEOR trapezium triangles ABC vertex WILLIAM LAWSON
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