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 30
Pagina 2
... equilateral triangle is that which has three equal sides . XX . An isosceles tri- angle is that which has ( only ) two sides equal . AA XXI . A scalene triangle is that which has three unequal sides . XXII . A right - angled triangle is ...
... equilateral triangle is that which has three equal sides . XX . An isosceles tri- angle is that which has ( only ) two sides equal . AA XXI . A scalene triangle is that which has three unequal sides . XXII . A right - angled triangle is ...
Pagina 4
... equilateral triangle upon a given finite straight line . Let AB be the given straight line ; it is required to describe an equilateral triangle upon it . From the centre A , at the distance AB , describe ( Postulate 3 ) the circle BCD ...
... equilateral triangle upon a given finite straight line . Let AB be the given straight line ; it is required to describe an equilateral triangle upon it . From the centre A , at the distance AB , describe ( Postulate 3 ) the circle BCD ...
Pagina 7
... equilateral triangle is also equiangular . PROP . VI . THEOR . If two angles of a triangle be equal to one another , the sides which subtend , or are opposite to them , are also equal to one another . Let ABC be a triangle having the ...
... equilateral triangle is also equiangular . PROP . VI . THEOR . If two angles of a triangle be equal to one another , the sides which subtend , or are opposite to them , are also equal to one another . Let ABC be a triangle having the ...
Pagina 9
... equilateral triangle DEF ; then join AF` ; the straight line AF bisects the angle BAC . Because AD is equal to AE , and AF is com- mon to the two triangles DAF , EAF ; the two sides DA , AF are equal to the two sides EA , AF , each to ...
... equilateral triangle DEF ; then join AF` ; the straight line AF bisects the angle BAC . Because AD is equal to AE , and AF is com- mon to the two triangles DAF , EAF ; the two sides DA , AF are equal to the two sides EA , AF , each to ...
Pagina 29
... equilateral . It is likewise rectangular ; for the straight line AD meeting the parallels AB , DE , makes the angles BAD , ADE equal ( I. 29 ) to two right angles ; but BAD is a right angle ; therefore also ADE is a right angle ; now A ...
... equilateral . It is likewise rectangular ; for the straight line AD meeting the parallels AB , DE , makes the angles BAD , ADE equal ( I. 29 ) to two right angles ; but BAD is a right angle ; therefore also ADE is a right angle ; now A ...
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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