## Euclidian Geometry |

### From inside the book

Results 1-5 of 91

Page vii

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**propositions**should be shewn to be deducible from the first one . This has accordingly been done , the method being ...**proposition**is the major premiss , has been adopted as offering a good logical training , and also as being ... Page viii

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**proposition**should have a page to itself , and that those of greater length should occupy pages facing each other : so also that**propositions**and the corresponding converse ones should be placed on opposite pages . Moreover ... Page 4

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**PROPOSITION**I. If two sides and the included angle of one triangle be respectively equal to two sides and the included angle of another triangle , the triangles shall be equal in all respects . D B In the As ABC , DEF , K E let the two ... Page 5

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**PROPOSITION**II . The angles at the base of an isosceles triangle are equal ; and if the equal sides be produced , the angles on the other side of the base shall be equal . Let ABC be an isosceles △ , having the side AB = the side AC ... Page 6

... is = LDFE ; .. the point A will fall on the point D , .. the triangle ABC will coincide with the △ DEF , and is .. equal to it in all respects .

... is = LDFE ; .. the point A will fall on the point D , .. the triangle ABC will coincide with the △ DEF , and is .. equal to it in all respects .

**PROPOSITION**IV . If two angles of a triangle are 6 STRAIGHT LINES , ANGLES AND TRIANGLES .### Other editions - View all

### Common terms and phrases

applied base bisect Cambridge centre chapter chord circle circumference cloth College common complete contained Crown 8vo DEFINITION describe diameter difference divided double draw drawn Edition elementary English equal equiangular Examination Examples extremities fall fcap figure Find former four GEOMETRY given point given straight line Grammar greater Hence illustrations impossible inscribed introduction Join language Latin less magnitudes Master Mathematical meet method Notes opposite parallel parallelogram pass perpendicular plane polygon possible present principles PROBLEM produced Professor proportional PROPOSITION prove ratio reader rect rectangle rectilineal respectively revised right angles Schools Second Edition segment selected sides similar Similarly square taken tangent THEOREM third touch TREATISE triangle twice University volume whole