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 páginas |
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Página 101
... fourth , equal to it , or less ; then the first of the magnitudes is said to have to the second the same ratio that the third has to the fourth . 6. Magnitudes are said to be proportionals , when the first has the same ratio to the ...
... fourth , equal to it , or less ; then the first of the magnitudes is said to have to the second the same ratio that the third has to the fourth . 6. Magnitudes are said to be proportionals , when the first has the same ratio to the ...
Página 102
... fourth ; or that the first is to the third as the second to the fourth : See Prop . 16 . of this Book . 15. Invertendo , by inversion : When there are four proportionals , and it is inferred , that the second is to the first , as the fourth ...
... fourth ; or that the first is to the third as the second to the fourth : See Prop . 16 . of this Book . 15. Invertendo , by inversion : When there are four proportionals , and it is inferred , that the second is to the first , as the fourth ...
Página 110
... fourth , has to the fourth , the first will have to the second the same ratio which the third has to the fourth . If A + B : B :: C + D : D , then by division A : B :: C : D. Take mA and nB any multiples of A and B , by the numbers m ...
... fourth , has to the fourth , the first will have to the second the same ratio which the third has to the fourth . If A + B : B :: C + D : D , then by division A : B :: C : D. Take mA and nB any multiples of A and B , by the numbers m ...
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Términos y frases comunes
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