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, Edlemnts of Plane and Spherical TrigonometryW.E. Dean, 1836 - 311 sider |
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Resultat 1-3 av 38
Side 218
... half the sum of the angles ACB and ABC , to the tangent of half their difference . About the centre Ă with the radius AB , the greater of the two sides , de- scribe a circle meeting BC produced in D , and AC produced in E and F. Join DA ...
... half the sum of the angles ACB and ABC , to the tangent of half their difference . About the centre Ă with the radius AB , the greater of the two sides , de- scribe a circle meeting BC produced in D , and AC produced in E and F. Join DA ...
Side 222
... half their difference added to half their sum is equal to the greater ; and half their difference taken from half their sum is equal to the less . A ED B C Let AB and BC be two unequal magnitudes , of which AB is the great- er ; suppose ...
... half their difference added to half their sum is equal to the greater ; and half their difference taken from half their sum is equal to the less . A ED B C Let AB and BC be two unequal magnitudes , of which AB is the great- er ; suppose ...
Side 255
... half the sum or half the difference of the supplements of two arcs , is the same with the sine of half the sum or half the difference of the arcs themselves : and that the same is true of the cosines , and of the tangents of half the ...
... half the sum or half the difference of the supplements of two arcs , is the same with the sine of half the sum or half the difference of the arcs themselves : and that the same is true of the cosines , and of the tangents of half the ...
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Vanlige uttrykk og setninger
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