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 sider |
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Resultat 1-3 av 91
Side 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 ...
Side 95
... ABC and AC is drawn from the point of contact , the angle HAC is equal ( 32. 3. ) to the angle ABC in the alternate segment of the circle : But HAC is equal to the angle - DEF ; therefore also the an- gle ABC is equal to DEF ; F B G II ...
... ABC and AC is drawn from the point of contact , the angle HAC is equal ( 32. 3. ) to the angle ABC in the alternate segment of the circle : But HAC is equal to the angle - DEF ; therefore also the an- gle ABC is equal to DEF ; F B G II ...
Side 225
... 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 ... angle G ( def . 7. ) , and PLANE TRIGONOMETRY 225.
... 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 ... angle G ( def . 7. ) , and PLANE TRIGONOMETRY 225.
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Vanlige uttrykk og setninger
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