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 18
... angle , that is , at the point in which the straight lines that ' contain the angle meet one another , is put ... ABC , or CBA ; that which is contained by AB , BD , is named the ' angle ABD , or DBA ; and that which is contained ...
... angle , that is , at the point in which the straight lines that ' contain the angle meet one another , is put ... ABC , or CBA ; that which is contained by AB , BD , is named the ' angle ABD , or DBA ; and that which is contained ...
Σελίδα 23
... ABC , DEF be two triangles which have the two sides AB , AC equal to the two sides DE , DF , each to each , viz . AB to DE , and AC to DF ; and let the angle BAC be also equal to the A D angle EDF : then shall the base BC be equal to ...
... ABC , DEF be two triangles which have the two sides AB , AC equal to the two sides DE , DF , each to each , viz . AB to DE , and AC to DF ; and let the angle BAC be also equal to the A D angle EDF : then shall the base BC be equal to ...
Σελίδα 24
... angle ABC to the angle DEF , and the angle ACB to DFE . For , if the triangle ABC be applied to the triangle DEF , so that the point A may be on D , and the straight line AB upon DE ; the point B shall coincide with the point E ...
... angle ABC to the angle DEF , and the angle ACB to DFE . For , if the triangle ABC be applied to the triangle DEF , so that the point A may be on D , and the straight line AB upon DE ; the point B shall coincide with the point E ...
Σελίδα 25
... angle BFC is equal to the angle CGB ; wherefore the triangles BFC , CGB are equal ( 3.1 . ) and their remaining ... ABC is therefore equal to the remaining angle ACB , which are the angles at the base of the triangle ABC : And it ...
... angle BFC is equal to the angle CGB ; wherefore the triangles BFC , CGB are equal ( 3.1 . ) and their remaining ... ABC is therefore equal to the remaining angle ACB , which are the angles at the base of the triangle ABC : And it ...
Σελίδα 26
... Circle, and the Geometry of Solids ; to which are Added, Elements of ... angle , because AC is equal to AD , the angle ACD is equal ( 5. 1. ) to the ... ABC , DEF be two triangles having the two sides AB , АС , equal to the two ...
... Circle, and the Geometry of Solids ; to which are Added, Elements of ... angle , because AC is equal to AD , the angle ACD is equal ( 5. 1. ) to the ... ABC , DEF be two triangles having the two sides AB , АС , equal to the two ...
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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