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 |
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Σελίδα xv
... triangle are greater than the third , neither could it be true , that the greater side of every triangle is opposite to the greater angle , nor that the equal sides are opposite to equal angles , nor , lastly , that things equal to the ...
... triangle are greater than the third , neither could it be true , that the greater side of every triangle is opposite to the greater angle , nor that the equal sides are opposite to equal angles , nor , lastly , that things equal to the ...
Σελίδα 20
... angle . XXIV . An acute angled triangle , is that which has three a ute angles . XXV . Of four sided figures , a ... opposite sides equal to one another , but all its sides are not equal , nor its angles right angles . ΧΧΙΧ . All ...
... angle . XXIV . An acute angled triangle , is that which has three a ute angles . XXV . Of four sided figures , a ... opposite sides equal to one another , but all its sides are not equal , nor its angles right angles . ΧΧΙΧ . All ...
Σελίδα 23
... opposite * D 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 the base BC ...
... opposite * D 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 the base BC ...
Σελίδα 24
... angle ABC to the angle DEF , and the angle ACB to DFE . For , if the triangle ABC be applied to the triangle DEF ... opposite , shall be equal , each to each . Which was to be demonstrated . PROP . V. THEOR . The angles at the base ...
... angle ABC to the angle DEF , and the angle ACB to DFE . For , if the triangle ABC be applied to the triangle DEF ... opposite , shall be equal , each to each . Which was to be demonstrated . PROP . V. THEOR . The angles at the base ...
Σελίδα 25
... angle CGB ; wherefore the triangles BFC , CGB are equal ( 3. 1. ) , and their remaining angles are equal , to which the equal sides are opposite ; therefore the angle FBC is equal to the angle GCB , and the angle BCF to the angle CBG ...
... angle CGB ; wherefore the triangles BFC , CGB are equal ( 3. 1. ) , and their remaining angles are equal , to which the equal sides are opposite ; therefore the angle FBC is equal to the angle GCB , and the angle BCF to the angle CBG ...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ... Formerly Chairman Department of Immunology John Playfair,John Playfair Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
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 definition 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 MDCCCXX 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