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 92
Side 62
... Let ABC be an obtuse angled triangle , having the obtuse angle ACB , and from the point A let AD be drawn ( 12. 1. ) perpendicular to BC produced : The square of AB is greater than the squares of AC , CB , by twice the rectangle BC.CD ...
... Let ABC be an obtuse angled triangle , having the obtuse angle ACB , and from the point A let AD be drawn ( 12. 1. ) perpendicular to BC produced : The square of AB is greater than the squares of AC , CB , by twice the rectangle BC.CD ...
Side 68
... Let ABC be a circle , and A , B any two points in the circumfe fence the straight line drawn from A to B shall fall within the circle . : C D E B Take any point in AB as E ; find D the centre of the circle ABC ; join AD , DB and DE , and ...
... Let ABC be a circle , and A , B any two points in the circumfe fence the straight line drawn from A to B shall fall within the circle . : C D E B Take any point in AB as E ; find D the centre of the circle ABC ; join AD , DB and DE , and ...
Side 136
... Let ABC , ADE be equal triangles , which have the an- gle BAC equal to the angle DAE : the sides about the equal angles of the triangles are reciprocally proportion- al ; that is , CA is to AD , as EA to AB . Let the triangles be plac ...
... Let ABC , ADE be equal triangles , which have the an- gle BAC equal to the angle DAE : the sides about the equal angles of the triangles are reciprocally proportion- al ; that is , CA is to AD , as EA to AB . Let the triangles be plac ...
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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