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, Elements of Plane and Spherical TrignonometryBell & Bradfute, 1875 - 257 pagine |
Dall'interno del libro
Risultati 1-5 di 52
Pagina 3
... square is that which has all its sides equal , and all its angles right angles . XXVI . An oblong is that which has all its angles right angles , but has not all its sides equal . XXVII . A rhombus is that which has all its sides equal ...
... square is that which has all its sides equal , and all its angles right angles . XXVI . An oblong is that which has all its angles right angles , but has not all its sides equal . XXVII . A rhombus is that which has all its sides equal ...
Pagina 29
... square upon a given straight line . Let AB be the given straight line ; it is required to describe a square upon AB . E From the point A draw ( I. 11 ) AC at right angles to AB ; and make ( I. 3 ) AD equal to AB , and through the point ...
... square upon a given straight line . Let AB be the given straight line ; it is required to describe a square upon AB . E From the point A draw ( I. 11 ) AC at right angles to AB ; and make ( I. 3 ) AD equal to AB , and through the point ...
Pagina 30
... square BDEC , and on BA , AC the squares GB , HC ; and through A draw ( I. 31 ) AL parallel to BD or CE , and join AD , FC ; then , because each of the angles BAC , BAG is a right angle ( Def . 25 ) , the two straight lines AC , AG ...
... square BDEC , and on BA , AC the squares GB , HC ; and through A draw ( I. 31 ) AL parallel to BD or CE , and join AD , FC ; then , because each of the angles BAC , BAG is a right angle ( Def . 25 ) , the two straight lines AC , AG ...
Pagina 31
... square , & c . Q. E. D. BOOK SECOND DEFINITIONS . I. Every right - angled parallelogram , or rectangle , is said to be contained by any two of the straight lines which are about one of the right angles . Thus the right - angled ...
... square , & c . Q. E. D. BOOK SECOND DEFINITIONS . I. Every right - angled parallelogram , or rectangle , is said to be contained by any two of the straight lines which are about one of the right angles . Thus the right - angled ...
Pagina 32
... square of the whole line . C B Let the straight line AB be divided into any two parts in the point C ; the rectangle AB.BC , together with the A rectangle AB.AC , is equal to the square of AB ; or AB.AC + AB.BC = AB2 . On AB describe ...
... square of the whole line . C B Let the straight line AB be divided into any two parts in the point C ; the rectangle AB.BC , together with the A rectangle AB.AC , is equal to the square of AB ; or AB.AC + AB.BC = AB2 . On AB describe ...
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Elements of Geometry; Containing the First Six Books of Euclid, With Two ... John 1748-1819 Playfair Anteprima non disponibile - 2021 |
Parole e frasi comuni
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter draw equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore given circle given point given straight line hypotenuse inscribed less Let ABC Let the straight meet multiple opposite angle parallel parallelogram perpendicular plane polygon prism PROB produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius rectangle contained rectilineal figure remaining angle right angles segment semicircle similar sine solid angle solid parallelepipeds spherical angle spherical triangle straight line AC straight line drawn tangent THEOR third three straight lines touches the circle triangle ABC triangle DEF wherefore