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 TrigonometryCollins & Hannay, 1860 - 333 páginas |
Dentro del libro
Resultados 1-3 de 91
Página 32
... angle ACD , is greater than the angle ABC . Therefore if one side , & c . Q. E. D. PROP . XVII . THEOR . Any two angles of a triangle are together less than two right angles , Let ABC be any triangle ; any two of its angles together are ...
... angle ACD , is greater than the angle ABC . Therefore if one side , & c . Q. E. D. PROP . XVII . THEOR . Any two angles of a triangle are together less than two right angles , Let ABC be any triangle ; any two of its angles together are ...
Página 95
... ABC is equal to DEF ; F B G II C for the same reason , the angle ACB is equal to the angle DFE ; there fore the remaining angle BAC is equal ( 32. 1. ) to the remaining angle EDF : Wherefore the triangle ABC is equiangular to the triangle ...
... ABC is equal to DEF ; F B G II C for the same reason , the angle ACB is equal to the angle DFE ; there fore the remaining angle BAC is equal ( 32. 1. ) to the remaining angle EDF : Wherefore the triangle ABC is equiangular to the triangle ...
Página 225
... angle ABC . COR . 1. The radius is a mean proportional between the tangent and the cotangent of any angle ABC ; that is , tan . ABCXcot . ABC = R2 . - For , since HK , BA are parallel , the angles HKB , ABC are equal , and KHB , BAE are ...
... angle ABC . COR . 1. The radius is a mean proportional between the tangent and the cotangent of any angle ABC ; that is , tan . ABCXcot . ABC = R2 . - For , since HK , BA are parallel , the angles HKB , ABC are equal , and KHB , BAE are ...
Otras ediciones - Ver todas
Términos y frases comunes
ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder demonstrated diameter draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC magnitudes meet multiple opposite angle parallel parallelogram perpendicular polygon prism PROB produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius ratio rectangle contained rectilineal figure remaining angle segment semicircle side BC sine solid angle solid parallelopipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore