## Elements of Geometry;: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle and the Geometry of Solids; to which are Added, Elements of Plane and Spherical TrigonometryBell & Bradfute, 1804 - 440 páginas |

### Dentro del libro

Resultados 1-5 de 73

Página 69

... perpendiculars drawn to them from the centre are equal . IV . And the straight line on which the greater perpendicular falls , is faid to be farther from the centre . Book III . 1 B. An

... perpendiculars drawn to them from the centre are equal . IV . And the straight line on which the greater perpendicular falls , is faid to be farther from the centre . Book III . 1 B. An

**arch**of a circle F3 B. [69] ... Página 70

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**arch**of a circle is any part of the circumference . V. A fegment of a circle is the figure con- tained by a straight line , and the**arch**which it cuts off . VI . An angle in a fegment is the angle contained by two straight lines drawn ... Página 93

... . Which was to be done . PROP . XXVI . THEOR . IN. equal. circles. ,. equal. angles. stand. upon. equal.

... . Which was to be done . PROP . XXVI . THEOR . IN. equal. circles. ,. equal. angles. stand. upon. equal.

**arches**, whether they be at the centres or circum- ferences . Let Book III . Let ABC , DEF be equal circles OF GEOMETRY . 93. Página 94

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**arch**BKC to the**arch**ELF . Wherefore in equal circles , & c . Q. E. D. I PROP . XXVII . THEOR . N equal circles , the angles which stand upon equal**arches**are equal to one another , whether they be at the centres or circumferences . Let ... Página 95

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**arches**c , when they are at the centre , the**arch**BK is c 26. 3 . equal to the**arch**EF : but EF is equal to BC ; therefore also BK is equal to BC , the less to the greater , which is impossible . Therefore the angle BGC is not unequal ...### Otras ediciones - Ver todas

Elements of Geometry: Containing the First Six Books of Euclid, with a ... Formerly Chairman Department of Immunology John Playfair Sin vista previa disponible - 2015 |

### Términos y frases comunes

ABC is equal ABCD alfo alſo altitude angle ABC angle ACB angle BAC arch bafe baſe baſe BC becauſe becauſe the angle biſected Book cafe cauſe centre circle ABC circumference co-fine cof BC cylinder demonſtrated deſcribed diameter draw drawn equal angles equiangular equilateral polygon equimultiples Euclid exterior angle fame ratio fame reaſon fides fince firſt folid fore given ſtraight line greater inſcribed interfect join leſs Let ABC line BC magnitudes oppoſite parallel parallelepipeds parallelogram paſs paſſes perpendicular polygon priſm proportionals propoſition Q. E. D. PROP radius rectangle contained rectilineal figure remaining angle ſame ſame manner ſame plane ſecond ſegment ſemicircle ſhall ſhewn ſide ſolid ſpace ſphere ſpherical triangle ſquare ſtand ſuch ſum ſuppoſed tangent THEOR theſe thoſe touches the circle triangle ABC uſe wherefore

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