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 59
Pagina 4
... given finite straight line . Let AB be the given straight line ; it is required to describe an equilateral triangle ... point C , in which the circles cut one another , draw the straight lines ( Post . 1 ) CA , CB , to the points A , B ; ABC ...
... given finite straight line . Let AB be the given straight line ; it is required to describe an equilateral triangle ... point C , in which the circles cut one another , draw the straight lines ( Post . 1 ) CA , CB , to the points A , B ; ABC ...
Pagina 5
... given point A , a straight line AL has been drawn equal to the given straight line BC . Which was to be done . PROP . III . PROB . From the greater of two given straight lines to cut off a part equal to the less . Let AB and C be the two ...
... given point A , a straight line AL has been drawn equal to the given straight line BC . Which was to be done . PROP . III . PROB . From the greater of two given straight lines to cut off a part equal to the less . Let AB and C be the two ...
Pagina 8
... point B be on E , and the straight line BC upon EF ; the point C must also coincide with the point F , because BC is equal to EF ; therefore BC coinciding with EF , BA and AC must coincide with ED and DF ... a given 8 ELEMENTS OF GEOMETRY .
... point B be on E , and the straight line BC upon EF ; the point C must also coincide with the point F , because BC is equal to EF ; therefore BC coinciding with EF , BA and AC must coincide with ED and DF ... a given 8 ELEMENTS OF GEOMETRY .
Pagina 9
... a given rectilineal 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 ...
... a given rectilineal 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 ...
Pagina 10
... given point C , in the given straight line AB , FC has been drawn at right angles to AB . Which was to be done . PROP . XII . PROB . To draw a straight line perpendicular to a given straight line , of an unlimited length , from a given ...
... given point C , in the given straight line AB , FC has been drawn at right angles to AB . Which was to be done . PROP . XII . PROB . To draw a straight line perpendicular to a given straight line , of an unlimited length , from a given ...
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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