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, 1839 - 318 σελίδες |
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Σελίδα 22
... circle BCD , and from the center B , at the dis- tance BA , describe the circle ACE ; and from the point C , in which the circles cut one ano- ther , draw the straight lines ( 1. Post . ) CA , CB to the points A , B ; ABC is an ...
... circle BCD , and from the center B , at the dis- tance BA , describe the circle ACE ; and from the point C , in which the circles cut one ano- ther , draw the straight lines ( 1. Post . ) CA , CB to the points A , B ; ABC is an ...
Σελίδα 23
... Circle, and the Geometry of Solids ; to which are Added, Elements of Plane ... ABC , DEF be two triangles which have the two sides AB , AC equal to the two ... ABC to the triangle DEF ; and the other angles , to which the equal ...
... Circle, and the Geometry of Solids ; to which are Added, Elements of Plane ... ABC , DEF be two triangles which have the two sides AB , AC equal to the two ... ABC to the triangle DEF ; and the other angles , to which the equal ...
Σελίδα 24
... Circle, and the Geometry of Solids ; to which are Added, Elements of Plane and Spherical Trigonometry John Playfair. each to each , viz . the angle ABC to the angle DEF , and the angle ACB to DFE . For , if the triangle ABC be applied to ...
... Circle, and the Geometry of Solids ; to which are Added, Elements of Plane and Spherical Trigonometry John Playfair. each to each , viz . the angle ABC to the angle DEF , and the angle ACB to DFE . For , if the triangle ABC be applied to ...
Σελίδα 25
... Circle, and the Geometry of Solids ; to which are Added, Elements of Plane and Spherical Trigonometry John Playfair ... ABC is therefore equal to the remaining angle ACB , which are the angles at the base of the triangle ABC : And ...
... Circle, and the Geometry of Solids ; to which are Added, Elements of Plane and Spherical Trigonometry John Playfair ... ABC is therefore equal to the remaining angle ACB , which are the angles at the base of the triangle ABC : And ...
Σελίδα 30
... Circle, and the Geometry of Solids ; to which are Added, Elements of Plane and Spherical Trigonometry John Playfair ... ABC ; then will the two angles DBA , ABC be equal to the three angles DBE , EBA , ABC ; but the angles CBE ...
... Circle, and the Geometry of Solids ; to which are Added, Elements of Plane and Spherical Trigonometry John Playfair ... ABC ; then will the two angles DBA , ABC be equal to the three angles DBE , EBA , ABC ; but the angles CBE ...
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ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder definition demonstrated diameter draw equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC magnitudes meet opposite angle parallel parallelogram parallelopipeds perpendicular polygon prism produced proportional proposition Q. E. D. COR Q. E. D. PROP radius ratio rectangle contained rectilineal figure remaining angle segment semicircle shewn side BC sine solid angle solid parallelopipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore