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 sider |
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Resultat 1-3 av 39
Side 101
... Magnitudes are said to be of the same kind , when the less can be mul- tiplied so as to exceed the greater ; and it is only such magnitudes that are said to have a ratio to one another . 5. If there be four magnitudes , and if any ...
... Magnitudes are said to be of the same kind , when the less can be mul- tiplied so as to exceed the greater ; and it is only such magnitudes that are said to have a ratio to one another . 5. If there be four magnitudes , and if any ...
Side 103
... magnitudes are taken two and two . 20. Ex æquali , from equality ; this term is used simply by itself , when the first magnitude is to the second of the first rank , as the first to the second of the other rank ; and as the second is to ...
... magnitudes are taken two and two . 20. Ex æquali , from equality ; this term is used simply by itself , when the first magnitude is to the second of the first rank , as the first to the second of the other rank ; and as the second is to ...
Side 113
... magnitudes . PROP . XXIII . THEOR . If there be any number of magnitudes , and as many others , which , taken two and two , in a cross order , have the same ratio ; the first will have to the last of the first magnitudes the same ratio ...
... magnitudes . PROP . XXIII . THEOR . If there be any number of magnitudes , and as many others , which , taken two and two , in a cross order , have the same ratio ; the first will have to the last of the first magnitudes the same ratio ...
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Vanlige uttrykk og setninger
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