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 TrigonometryB. & S. Collins; W. E. Dean, printer, 1836 - 311 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 100.
Σελίδα 9
... equal in all respects . Let ABC , DEF be two triangles which have the two sides AB , AC equal to the two sides DE , DF , each to each , viz . AB to DE , and AC to DF ; and let the angle BAC be also equal to the angle EDF : then shall ...
... equal in all respects . Let ABC , DEF be two triangles which have the two sides AB , AC equal to the two sides DE , DF , each to each , viz . AB to DE , and AC to DF ; and let the angle BAC be also equal to the angle EDF : then shall ...
Σελίδα 10
... equal to one another : namely , those to which the equal sides are opposite . If the triangle ABC have the side AC equal to the side BC : then will the angle B be equal to the angle A. For , conceive the angle C to be bisected , or di ...
... equal to one another : namely , those to which the equal sides are opposite . If the triangle ABC have the side AC equal to the side BC : then will the angle B be equal to the angle A. For , conceive the angle C to be bisected , or di ...
Σελίδα 11
... equal to AC , one of them is greater than the other : Let AB be the greater , and from it cut off DB equal to AC the ... ABC , DEF , have their three sides respectively equal , that is , the side AB equal to DE , AC to DF , and BC to EF ...
... equal to AC , one of them is greater than the other : Let AB be the greater , and from it cut off DB equal to AC the ... ABC , DEF , have their three sides respectively equal , that is , the side AB equal to DE , AC to DF , and BC to EF ...
Σελίδα 12
... equal to the two sides BG , GC , each to each , and their contained angles BAC , BGC , also equal , the two triangles BAC , BGC or EDF , are identical ( Th . 1. ) and have the other angles equal ; namely , the angle ABC equal to GBC ...
... equal to the two sides BG , GC , each to each , and their contained angles BAC , BGC , also equal , the two triangles BAC , BGC or EDF , are identical ( Th . 1. ) and have the other angles equal ; namely , the angle ABC equal to GBC ...
Σελίδα 13
... ABC , ABE are to- gether equal ( 6. 1. ) to two right an- gles ; but the angles ABC , ABD are likewise together equal to two right an- gles therefore the angles CBA , ABE are equal to the angles CBA , ABD : Take away the common angle ABC ...
... ABC , ABE are to- gether equal ( 6. 1. ) to two right an- gles ; but the angles ABC , ABD are likewise together equal to two right an- gles therefore the angles CBA , ABE are equal to the angles CBA , ABD : Take away the common angle ABC ...
Άλλες εκδόσεις - Προβολή όλων
Elements Of Geometry John Playfair,William Wallace,John Davidsons Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
Elements Of Geometry John Playfair,William Wallace,John Davidsons Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter divided equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROP proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR third touches the circle triangle ABC triangle DEF wherefore