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
... third is also greater than the multiple of 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 ...
... third is also greater than the multiple of 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 ...
Página 102
... third is said to be duplicate of the ratio of the first to the second . " Thus , if A be to B as B to C , the ratio ... third , & c . " So also , if there are five continual proportionals ; the ratio of the first to the fifth is called ...
... third is said to be duplicate of the ratio of the first to the second . " Thus , if A be to B as B to C , the ratio ... third , & c . " So also , if there are five continual proportionals ; the ratio of the first to the fifth is called ...
Página 103
... third of the other ; and so on in order , and the inference is as mentioned in the preceding definition ; whence ... third of the first rank , so is the last but two to the last but one of the second rank ; and as the third is to the ...
... third of the other ; and so on in order , and the inference is as mentioned in the preceding definition ; whence ... third of the first rank , so is the last but two to the last but one of the second rank ; and as the third is to the ...
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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