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 87
Pagina 5
... 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 straight lines , whereof AB is the greater . It is re- quired to cut off from AB , the greater , a part ...
... 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 straight lines , whereof AB is the greater . It is re- quired to cut off from AB , the greater , a part ...
Pagina 7
... 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 angle ABC equal to the angle ACB ; the side ...
... 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 angle ABC equal to the angle ACB ; the side ...
Pagina 8
... PROP . VIII . THEOR . If two triangles have two sides of the one equal to two sides of the other , each to each ... Prop . IV . PROP . IX . PROB . To bisect a given 8 ELEMENTS OF GEOMETRY .
... PROP . VIII . THEOR . If two triangles have two sides of the one equal to two sides of the other , each to each ... Prop . IV . PROP . IX . PROB . To bisect a given 8 ELEMENTS OF GEOMETRY .
Pagina 9
... PROP . X. PROB . DA F E To bisect a given finite straight line ; that is , to divide it into two equal parts . Let AB be the given straight line ; it is required to divide it into two equal parts . Describe ( I. 1 ) upon it an ...
... PROP . X. PROB . DA F E To bisect a given finite straight line ; that is , to divide it into two equal parts . Let AB be the given straight line ; it is required to divide it into two equal parts . Describe ( I. 1 ) upon it an ...
Pagina 13
... PROP . XVIII . A A B THEOR . The greater side of every triangle has the greater angle opposite to it . A Let ABC be a triangle of which the side AC is greater than the side AB ; the angle ABC is also greater than the angle BCA . From AC ...
... PROP . XVIII . A A B THEOR . The greater side of every triangle has the greater angle opposite to it . A Let ABC be a triangle of which the side AC is greater than the side AB ; the angle ABC is also greater than the angle BCA . From AC ...
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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