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 TrigonometryLippincott, Grambo & Company, 1854 - 317 sider |
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Resultat 1-5 av 68
Side 12
... shewn that BC is equal to BG ; wherefore AL and BC are each of them equal to BG ; and things that are equal Because the point B is the centre of the circle CGH , BC is equal ( 11. Def . ) to BG ; and because D is the centre of the ...
... shewn that BC is equal to BG ; wherefore AL and BC are each of them equal to BG ; and things that are equal Because the point B is the centre of the circle CGH , BC is equal ( 11. Def . ) to BG ; and because D is the centre of the ...
Side 22
... shewn that A it is not equal to AB ; therefore AC is greater than AB . PROP . XX . THEOR . Any two sides of a triangle are together greater than the third side . Let ABC be a triangle ; any two sides of it together are greater than the ...
... shewn that A it is not equal to AB ; therefore AC is greater than AB . PROP . XX . THEOR . Any two sides of a triangle are together greater than the third side . Let ABC be a triangle ; any two sides of it together are greater than the ...
Side 23
... shewn that BA , AC are greater than BE , EC ; much more then are BA , AC great- er than BD , DC . B D A E Again , because the exterior angle of a triangle ( 16. 1. ) is greater than the interior and opposite angle , the exte- rior angle ...
... shewn that BA , AC are greater than BE , EC ; much more then are BA , AC great- er than BD , DC . B D A E Again , because the exterior angle of a triangle ( 16. 1. ) is greater than the interior and opposite angle , the exte- rior angle ...
Side 25
... shewn that it is not equal to it : therefore the angle BAC is greater than the angle EDF . B AA C E F PROP . XXVI . THEOR . If two triangles have 4 OF GEOMETRY . BOOK I. 25 DF; but the angle BAC greater than the angle ...
... shewn that it is not equal to it : therefore the angle BAC is greater than the angle EDF . B AA C E F PROP . XXVI . THEOR . If two triangles have 4 OF GEOMETRY . BOOK I. 25 DF; but the angle BAC greater than the angle ...
Side 29
... shewn that the angle AGK is equal to the angle GHF ; therefore also AGK is equal to GKD ; and they are alter- nate angles ; therefore AB is parallel ( 27. 1. ) to CD . G B E H -F K C D PROP . XXXI . PROB . To draw a straight line ...
... shewn that the angle AGK is equal to the angle GHF ; therefore also AGK is equal to GKD ; and they are alter- nate angles ; therefore AB is parallel ( 27. 1. ) to CD . G B E H -F K C D PROP . XXXI . PROB . To draw a straight line ...
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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