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 TrigonometryE. Duyckinck, and George Long, 1824 - 333 sider |
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Resultat 1-5 av 100
Side xv
... sides of a triangle are greater than the third , neither could it be true , that the greater side of every triangle is opposite to the greater angle , nor that the equal sides are opposite to equal angles , nor , lastly , that things equal ...
... sides of a triangle are greater than the third , neither could it be true , that the greater side of every triangle is opposite to the greater angle , nor that the equal sides are opposite to equal angles , nor , lastly , that things equal ...
Side 23
... equal to the remainder ( 3. Ax . ) BG : But it has been shewn that BC is equal to BG ; wherefore AL and BC are each ... angles contained by those sides equal to one another , their bases , or third sides , shall be equal ; and the areas of ...
... equal to the remainder ( 3. Ax . ) BG : But it has been shewn that BC is equal to BG ; wherefore AL and BC are each ... angles contained by those sides equal to one another , their bases , or third sides , shall be equal ; and the areas of ...
Side 24
... equal , each to each , viz . the angle ABC to the angle DEF , and the angle ACB to DFE . For , if the triangle ABC ... angles of the one shall coincide with the remaining angles of the other , and be equal to them , viz . the angle ABC ...
... equal , each to each , viz . the angle ABC to the angle DEF , and the angle ACB to DFE . For , if the triangle ABC ... angles of the one shall coincide with the remaining angles of the other , and be equal to them , viz . the angle ABC ...
Side 25
... equal to GB , therefore the two sides BF , FC are equal to the two CG , GB , each to each ; but the angle BFC is equal to the angle CGB ; wherefore the triangles BFC , CGB are equal ( 3. 1. ) , and their remaining angles ... angles at the ...
... equal to GB , therefore the two sides BF , FC are equal to the two CG , GB , each to each ; but the angle BFC is equal to the angle CGB ; wherefore the triangles BFC , CGB are equal ( 3. 1. ) , and their remaining angles ... angles at the ...
Side 26
... triangles is without the other trian- gle , because AC is equal to AD , the angle ACD is equal ( 5. 1. ) to the angle ADC But the angle ACD is greater than the angle BCD ; there- fore the angle ADC is greater also than BCD ; much more then ...
... triangles is without the other trian- gle , because AC is equal to AD , the angle ACD is equal ( 5. 1. ) to the angle ADC But the angle ACD is greater than the angle BCD ; there- fore the angle ADC is greater also than BCD ; much more then ...
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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 multiple opposite angle parallel parallelepipeds parallelogram perpendicular polygon prism PROB produced proportionals 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 parallelepipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore