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 7
... 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 AB is also ...
... 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 AB is also ...
Pagina 8
... THEOR . If two triangles have two sides of the one equal to two sides of the other , each to each , and have likewise their bases equal ; the angle which is contained by the two sides of the one is equal to the angle contained by the ...
... THEOR . If two triangles have two sides of the one equal to two sides of the other , each to each , and have likewise their bases equal ; the angle which is contained by the two sides of the one is equal to the angle contained by the ...
Pagina 11
... THEOR . If , at a point in a straight line , two other straight lines , upon the opposite sides of it , make the adjacent angles together equal to two right angles , these two straight lines are in one and the same straight line . At ...
... THEOR . If , at a point in a straight line , two other straight lines , upon the opposite sides of it , make the adjacent angles together equal to two right angles , these two straight lines are in one and the same straight line . At ...
Pagina 12
... THEOR . If one side of a triangle is produced , the exterior angle is greater than either of e interior opposite angles . A F Let ABC be a triangle , and let its side BC be produced to D , the exterior angle ACD is greater than either ...
... THEOR . If one side of a triangle is produced , the exterior angle is greater than either of e interior opposite angles . A F Let ABC be a triangle , and let its side BC be produced to D , the exterior angle ACD is greater than either ...
Pagina 13
... 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 , which is greater ...
... 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 , which is greater ...
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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