## Euclidian Geometry |

### From inside the book

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Page vi

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**similar**rectilineal figures by contemplating their homologous sides and then calculating their duplicate ratio . In order to make the Second Book , which treats of the relations existing between the rectangles under the segments of a ... Page 55

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**similar**proof it may be shewn that equal triangles upon equal bases in the same straight line and on the side of that line are between the same parallels . same PROPOSITION XXXIV . The complements of the parallelograms , which AREAS . 55. Page 72

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**similar**manner to the above or deduced from it , thus : ᅡ I A H Produce DA and make AX = HD . Then XC = CD . .. squares on XH , HD = i.e. squares on AD , HD = twice the squares on XC , CH , twice the squares on DC , CA. THEOREM ( 2 ) ... Page 139

... AXC will continually diminish , and ultimately vanish . L Hence the XAT and the in the segment ACX are together equal to two right angles . DEFINITION .

... AXC will continually diminish , and ultimately vanish . L Hence the XAT and the in the segment ACX are together equal to two right angles . DEFINITION .

**Similar**segments are those which contain equal angles SUPPLEMENT TO BOOK III . 139. Page 140

Francis Cuthbertson (M.A.). DEFINITION .

Francis Cuthbertson (M.A.). DEFINITION .

**Similar**segments are those which contain equal angles . THEOREM ( 1⁄2 ) .**Similar**segments of circles having equal chords are equal in all respects . P B Let APB , CQD be**similar**segments of ...### 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