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 sider |
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Resultat 1-5 av 84
Side 24
... BC shall coincide with the base EF ( cor . def . 3. ) , and shall be equal to it . Therefore also the whole triangle ... side of the base shall also be equal . Let ABC be an isosceles triangle of which the side AB is equal to AC , and ...
... BC shall coincide with the base EF ( cor . def . 3. ) , and shall be equal to it . Therefore also the whole triangle ... side of the base shall also be equal . Let ABC be an isosceles triangle of which the side AB is equal to AC , and ...
Side 25
... side of the base . Therefore , the angles at the base , & c . Q. E. D. COROLLARY . Hence every equilateral triangle ... BC common to both , the two sides DB , BC are equal to the two ÁC , CB , each to each ; but the angle DBC is also ...
... side of the base . Therefore , the angles at the base , & c . Q. E. D. COROLLARY . Hence every equilateral triangle ... BC common to both , the two sides DB , BC are equal to the two ÁC , CB , each to each ; but the angle DBC is also ...
Side 27
... BC equal to the base EF . The angle BAC is equal to the angle EDF . For , if ... side of it , there can be two triangles EDF , EGF , that have their sides ... BC coincides with the base EF , the sides BA , AC cannot but coincide with the ...
... BC equal to the base EF . The angle BAC is equal to the angle EDF . For , if ... side of it , there can be two triangles EDF , EGF , that have their sides ... BC coincides with the base EF , the sides BA , AC cannot but coincide with the ...
Side 30
... BC , BD upon the opposite sides of AB , make the adjacent angles ABC , ABD ... side of it , the an- gles ABC , ABE are together equal ( 13. 1. ) to two ... BC . And in like manner , it may be demonstrat- ed , that no other can be in the ...
... BC , BD upon the opposite sides of AB , make the adjacent angles ABC , ABD ... side of it , the an- gles ABC , ABE are together equal ( 13. 1. ) to two ... BC . And in like manner , it may be demonstrat- ed , that no other can be in the ...
Side 31
... side of a triangle be produced , the exterior angle is great- er than either of the interior , and opposite angles . Let ABC be a triangle , and let its side BC be produced to D , the exterior angle ACD is greater than either of the ...
... side of a triangle be produced , the exterior angle is great- er than either of the interior , and opposite angles . Let ABC be a triangle , and let its side BC be produced to D , the exterior angle ACD is greater than either of the ...
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Elements of Geometry: Containing the First Six Books of Euclid with a ... John Playfair Uten tilgangsbegrensning - 1856 |
Vanlige uttrykk og setninger
ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder 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 PROB 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 square straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore