## 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

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