## Euclidian Geometry |

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Francis Cuthbertson. STRAIGHT LINES , ANGLES AND TRIANGLES . DEFINITION . A triangle is a plane figure contained by three straight lines . PROPOSITION I. If two sides and the included angle of ...

Francis Cuthbertson. STRAIGHT LINES , ANGLES AND TRIANGLES . DEFINITION . A triangle is a plane figure contained by three straight lines . PROPOSITION I. If two sides and the included angle of ...

**isosceles triangle**is one which has two ( 4 ) Page 5

Francis Cuthbertson. DEFINITION . An

Francis Cuthbertson. DEFINITION . An

**isosceles triangle**is one which has two of its sides equal . 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 ... Page 89

... . the remainder GC = the remainder CR , but GC is the square on PC and CR is = rectangle PQ , QC , for QR is PQ ; = ... rectangle PQ , QC = square on PC . PROBLEM C. To describe an

... . the remainder GC = the remainder CR , but GC is the square on PC and CR is = rectangle PQ , QC , for QR is PQ ; = ... rectangle PQ , QC = square on PC . PROBLEM C. To describe an

**isosceles triangle**having each of RECTANGLES . 89. Page 90

Francis Cuthbertson. PROBLEM C. To describe an

Francis Cuthbertson. PROBLEM C. To describe an

**isosceles triangle**having each of the angles at the base double of the angle at the vertex . Take any straight line AB and divide it in C , be so that rectangle AB , BC may = square on AC ... Page 233

...

...

**isosceles triangles**are drawn , the vertex of one triangle must fall within the other . 2 . If on the same base and on opposite sides of it two**isosceles triangles**are drawn , the straight line joining their vertices shall bisect the ...### 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 Examples 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 revised 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