## Euclidian Geometry |

### From inside the book

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Page vii

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**inscribed**in and circumscribed about a circle have been discussed , and the groundwork laid for a comparison not only of the areas but also of the circumferences of circles . It has been deemed essential that Problems , though kept ... Page 117

Francis Cuthbertson. PROPOSITION XV . The opposite angles of any quadrilateral figure

Francis Cuthbertson. PROPOSITION XV . The opposite angles of any quadrilateral figure

**inscribed**in a circle are together equal to two right angles . Let ABFG be a quadrilateral figure**inscribed**in the circle ABF . Then shall the s ABF ... Page 140

... Upon the same base and on the same side of it there cannot be two similar segments of circles not coinciding with one another . $ BOOK IV .

... Upon the same base and on the same side of it there cannot be two similar segments of circles not coinciding with one another . $ BOOK IV .

**INSCRIBED**AND CIRCUMSCRIBED FIGURES . TRIANGLES AND 140 SUPPLEMENT TO BOOK III . Page 141

... , which must meet the diameter drawn through P , and will therefore meet the circle in some point Q ; join PQ . Then PQ is a chord of the circle PQR , and is equal to A. DEFINITION . A rectilineal figure is said to be

... , which must meet the diameter drawn through P , and will therefore meet the circle in some point Q ; join PQ . Then PQ is a chord of the circle PQR , and is equal to A. DEFINITION . A rectilineal figure is said to be

**inscribed**BOOK IV. ... Page 142

Francis Cuthbertson. DEFINITION . A rectilineal figure is said to be

Francis Cuthbertson. DEFINITION . A rectilineal figure is said to be

**inscribed**in a circle when all the angular points of the rectilineal figure are upon the circumference of the circle . PROBLEM 2 . In a given circle to**inscribe**a ...### 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