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 TrigonometryE. Duyckinck, and George Long, 1824 - 333 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 16 - 20 από τα 82.
Σελίδα 80
... reason , the angle EDC is double of the angle DAC : Therefore the whole angle BDC is double of the whole angle BAC . Again let D , the centre of the circle , be without the angle BAC ; and join AD and produce it to E. It may be demon ...
... reason , the angle EDC is double of the angle DAC : Therefore the whole angle BDC is double of the whole angle BAC . Again let D , the centre of the circle , be without the angle BAC ; and join AD and produce it to E. It may be demon ...
Σελίδα 81
... reason , because CBED is greater than a semicir- cle , the angles CAD , CED are equal ; Therefore the whole angle BAD is equal F E to the whole angle BED . Wherefore the angles in the same seg . ment . & c . Q. E. D. PROP . XXII . THEOR ...
... reason , because CBED is greater than a semicir- cle , the angles CAD , CED are equal ; Therefore the whole angle BAD is equal F E to the whole angle BED . Wherefore the angles in the same seg . ment . & c . Q. E. D. PROP . XXII . THEOR ...
Σελίδα 95
... reason , the angle ACB is equal to the angle DFE ; there- fore the remaining angle BAC is equal ( 32. 1. ) to the remaining angle EDE : Wherefore the triangle ABC is equiangular to the triangle DEF , and it is inscribed in the circle ...
... reason , the angle ACB is equal to the angle DFE ; there- fore the remaining angle BAC is equal ( 32. 1. ) to the remaining angle EDE : Wherefore the triangle ABC is equiangular to the triangle DEF , and it is inscribed in the circle ...
Σελίδα 96
... reason , DG is equal to DF ; therefore the three straight lines . DE , DF , DG are equal to one another , and the circle described from the centre D , at the distance of any of them , will pass through the extremities of the other two ...
... reason , DG is equal to DF ; therefore the three straight lines . DE , DF , DG are equal to one another , and the circle described from the centre D , at the distance of any of them , will pass through the extremities of the other two ...
Σελίδα 97
... reason , BC , CD are each of them equal to BA or AD ; therefore the quadrilateral figure ABCD B is equilateral . It is also rectangular ; for the straight line BD being a diameter of the circle ABCD , BAD is a semicir- cle ; wherefore ...
... reason , BC , CD are each of them equal to BA or AD ; therefore the quadrilateral figure ABCD B is equilateral . It is also rectangular ; for the straight line BD being a diameter of the circle ABCD , BAD is a semicir- cle ; wherefore ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
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 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 parallelepipeds 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 shewn side BC sine solid angle solid parallelepipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore