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 TrigonometryW.E. Dean, 1836 - 311 páginas |
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Página 86
... circle , and circumscribed about one . B Let ABCDE , & c . be a regular polygon : describe a circle through the three points A , B , C , the centre being O , and OP the perpendicular let fall from it , to the middle point of BC : join ...
... circle , and circumscribed about one . B Let ABCDE , & c . be a regular polygon : describe a circle through the three points A , B , C , the centre being O , and OP the perpendicular let fall from it , to the middle point of BC : join ...
Página 87
... Circle, and the Geometry of Solids ; to which are Added, Elements of Plane and Spherical Trigonometry John Playfair. SCHOLIUMS . 1. The point O , the common centre of the inscribed and circumscribed circles , may also be regarded as the ...
... Circle, and the Geometry of Solids ; to which are Added, Elements of Plane and Spherical Trigonometry John Playfair. SCHOLIUMS . 1. The point O , the common centre of the inscribed and circumscribed circles , may also be regarded as the ...
Página 235
... circle , between the pole and the circumference of another great circle , is a quadrant . Let ABC be a great circle , and D its pole ; if DC , an arc of a great circle , pass through D , and meet ABC in C , the arc DC is a quadrant . Let ...
... circle , between the pole and the circumference of another great circle , is a quadrant . Let ABC be a great circle , and D its pole ; if DC , an arc of a great circle , pass through D , and meet ABC in C , the arc DC is a quadrant . Let ...
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ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal arc AC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter divided draw Prob equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROP proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR third touches the circle triangle ABC wherefore