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 1 - 5 από τα 43.
Σελίδα 24
... angle ABC shall be equal to the angle ACB , and the angle CBD to the angle BCE . In BD take any point F , and from AE the greater cut off AG equal ( 3. 1. ) to AF , the less , and join FC , GB . A Because AF is equal to AG , and AB to ...
... angle ABC shall be equal to the angle ACB , and the angle CBD to the angle BCE . In BD take any point F , and from AE the greater cut off AG equal ( 3. 1. ) to AF , the less , and join FC , GB . A Because AF is equal to AG , and AB to ...
Σελίδα 25
... angle CGB ; wherefore the triangles BFC , CGB are equal ( 3. 1. ) , and their remaining angles are equal , to which ... ACB , ADB , upon the same base AB , and upon the same side of it , which have their sides CA , DA , terminated in A ...
... angle CGB ; wherefore the triangles BFC , CGB are equal ( 3. 1. ) , and their remaining angles are equal , to which ... ACB , ADB , upon the same base AB , and upon the same side of it , which have their sides CA , DA , terminated in A ...
Σελίδα 26
... angle ACD is equal ( 5. 1. ) to the angle ADC But the angle ACD is greater than the angle BCD ; there- fore the ... ACB ; produce AC , AD to E , F ; therefore , because AC is equal to AD in the triangle ACD , the angles ECD , FDC upon ...
... angle ACD is equal ( 5. 1. ) to the angle ADC But the angle ACD is greater than the angle BCD ; there- fore the ... ACB ; produce AC , AD to E , F ; therefore , because AC is equal to AD in the triangle ACD , the angles ECD , FDC upon ...
Σελίδα 28
... angle ACB by the straight line CD . AB is cut into two equal parts in the point D. C Because AC is equal to CB , and CD common to the two triangles ACD , BCD : the two sides AC , CD , are equal to the two BC , CD , each to each ; but the ...
... angle ACB by the straight line CD . AB is cut into two equal parts in the point D. C Because AC is equal to CB , and CD common to the two triangles ACD , BCD : the two sides AC , CD , are equal to the two BC , CD , each to each ; but the ...
Σελίδα 32
... angle opposite to it . Let ABC be a triangle of which the side AC is greater than the side AB ; the angle ABC is ... ACB . Therefore the greater side , & c . Q. E. D. PROP : XIX . THEOR . The greater angle of 32 ELEMENTS.
... angle opposite to it . Let ABC be a triangle of which the side AC is greater than the side AB ; the angle ABC is ... ACB . Therefore the greater side , & c . Q. E. D. PROP : XIX . THEOR . The greater angle of 32 ELEMENTS.
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