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 93
Pagina 3
... angles . XXV . Of four - sided figures , a 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 ...
... angles . XXV . Of four - sided figures , a 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 ...
Pagina 5
... equal to the remainder ( Ax . 3 ) BG : But it has been shown , that BC is equal to BG ; wherefore , AL and BC are ... angles contained by those sides equal to one another , their bases or third sides are equal ; and the areas of the triangles ...
... equal to the remainder ( Ax . 3 ) BG : But it has been shown , that BC is equal to BG ; wherefore , AL and BC are ... angles contained by those sides equal to one another , their bases or third sides are equal ; and the areas of the triangles ...
Pagina 6
... equal to the angle EDF ; where- fore also the point C must coincide with the point F , because AC is equal to DF ... angles of the one must coincide with the remaining angles of the other , and be equal to them , viz . , the angle ABC to ...
... equal to the angle EDF ; where- fore also the point C must coincide with the point F , because AC is equal to DF ... angles of the one must coincide with the remaining angles of the other , and be equal to them , viz . , the angle ABC to ...
Pagina 8
... equal to AD in the triangle ACD , the angles ECD , FDC upon the other side of the base CD are equal ( I. 5 ) to one another , but the angle ECD is greater than the angle BCD ( Ax . 9 ) ; wherefore the angle FDC is likewise greater than ...
... equal to AD in the triangle ACD , the angles ECD , FDC upon the other side of the base CD are equal ( I. 5 ) to one another , but the angle ECD is greater than the angle BCD ( Ax . 9 ) ; wherefore the angle FDC is likewise greater than ...
Pagina 9
... angle ; that is , to divide it into two equal angles . Let BAC be the given rectilineal angle , it is required to bisect it . Take any point D in AB , and from AC cut ( I. 3 ) off AE equal to AD ; join DE , and upon it describe ( I. 1 ) ...
... angle ; that is , to divide it into two equal angles . Let BAC be the given rectilineal angle , it is required to bisect it . Take any point D in AB , and from AC cut ( I. 3 ) off AE equal to AD ; join DE , and upon it describe ( I. 1 ) ...
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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