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, 1851 - 317 sider |
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Resultat 1-5 av 32
Side 9
... semicircle is the figure contained by a diameter and the circumference cut off by the diameter . part of the 15. Rectilineal figures are those which are contained by straight 2 OF GEOMETRY . BOOK I. 'BD, is named the angle ABD, or ...
... semicircle is the figure contained by a diameter and the circumference cut off by the diameter . part of the 15. Rectilineal figures are those which are contained by straight 2 OF GEOMETRY . BOOK I. 'BD, is named the angle ABD, or ...
Side 58
... semicircle BHF , and produce DE to H , and join GH . There- fore , because the straight line BF is divided into two equal parts in the point G , and into two unequal in the point E , the rectangle BE.EF , to- gether with the square of ...
... semicircle BHF , and produce DE to H , and join GH . There- fore , because the straight line BF is divided into two equal parts in the point G , and into two unequal in the point E , the rectangle BE.EF , to- gether with the square of ...
Side 75
... semicircle , let BAD , BED be angles in it ; these also are equal to one another . Draw AF to the centre , and produce to C , and B join CE : therefore the segment BADC is greater than a semicircle ; and the angles in it , BAC , BEC are ...
... semicircle , let BAD , BED be angles in it ; these also are equal to one another . Draw AF to the centre , and produce to C , and B join CE : therefore the segment BADC is greater than a semicircle ; and the angles in it , BAC , BEC are ...
Side 77
... semicircle ; but if the angle ABD be less than BAD , the cen- tre E falls within the segment ABC , which is therefore greater than a semi- circle : Wherefore , a segment of a circle being given , the circle is de- scribed of which it is ...
... semicircle ; but if the angle ABD be less than BAD , the cen- tre E falls within the segment ABC , which is therefore greater than a semi- circle : Wherefore , a segment of a circle being given , the circle is de- scribed of which it is ...
Side 80
... semicircle , because DC passes through the centre ( Cor . 1. 3. ) ; wherefore the arc AD is equal to the arc DB ... semicircle is a right angle ; but the angle in a seg- ment greater than a semicircle is less than a right angle ...
... semicircle , because DC passes through the centre ( Cor . 1. 3. ) ; wherefore the arc AD is equal to the arc DB ... semicircle is a right angle ; but the angle in a seg- ment greater than a semicircle is less than a right angle ...
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Vanlige uttrykk og setninger
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given rectilineal 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 PROB PROP proportional 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 touches the circle triangle ABC triangle DEF wherefore