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 48
... produced to any point ; the rectangle contained by the whole line thus produced , and the part of it produced , together with the square of half the line bisected , is equal to the square of the straight line which is made up of the ...
... produced to any point ; the rectangle contained by the whole line thus produced , and the part of it produced , together with the square of half the line bisected , is equal to the square of the straight line which is made up of the ...
Página 51
... produced , and the square of the part of it produced , are together double of the square of half the line bisected , and of the square of the line made up of the half and the part produced . Let the straight line AB be bisected in C ...
... produced , and the square of the part of it produced , are together double of the square of half the line bisected , and of the square of the line made up of the half and the part produced . Let the straight line AB be bisected in C ...
Página 52
... produced , the square of the side subtending the ob- tuse angle is greater than the squares of the sides containing the obtuse an- gle , by twice the rectangle contained by the side upon which , when produced , the perpendicular falls ...
... produced , the square of the side subtending the ob- tuse angle is greater than the squares of the sides containing the obtuse an- gle , by twice the rectangle contained by the side upon which , when produced , the perpendicular falls ...
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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