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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... Book than those of any other of the Elements . In the second Book , also , some algebraic signs have been introduced , for the sake of representing more readily the addition and subtraction of the rectangles on which the demonstrations ...
... Book than those of any other of the Elements . In the second Book , also , some algebraic signs have been introduced , for the sake of representing more readily the addition and subtraction of the rectangles on which the demonstrations ...
Página 293
... BOOK II . THE Demonstrations of this Book are no otherwise changed than by in- troducing into them some characters similar to those of Algebra , which is always of great use where the reasoning turns on the addition or subtrac- tion of ...
... BOOK II . THE Demonstrations of this Book are no otherwise changed than by in- troducing into them some characters similar to those of Algebra , which is always of great use where the reasoning turns on the addition or subtrac- tion of ...
Página 298
... Book , the proposition that proves equiangular parallelo- grams to be in a ratio compounded of the ratios of the numbers proportional to their sides , is demonstrated by help of the propositions of the fifth Book . On account of this ...
... Book , the proposition that proves equiangular parallelo- grams to be in a ratio compounded of the ratios of the numbers proportional to their sides , is demonstrated by help of the propositions of the fifth Book . On account of this ...
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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