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 TrigonometryW.E. Dean, 1839 - 318 sider |
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Side 18
... angle , that is , at the point in which the straight lines that ' contain the angle meet one another , is put between ... ABC , or CBA ; that which is contained by AB , BD , is named the ' angle ABD , or DBA ; and that which is contained ...
... angle , that is , at the point in which the straight lines that ' contain the angle meet one another , is put between ... ABC , or CBA ; that which is contained by AB , BD , is named the ' angle ABD , or DBA ; and that which is contained ...
Side 23
... equal sides are opposite , shall be equal , B A C E D F The three conclusions in this enunciation are more briefly expressed by saying , that the triangles are ever y way equal . each to each , viz . the angle ABC to OF GEOMETRY.BOOK Į .
... equal sides are opposite , shall be equal , B A C E D F The three conclusions in this enunciation are more briefly expressed by saying , that the triangles are ever y way equal . each to each , viz . the angle ABC to OF GEOMETRY.BOOK Į .
Side 24
... angle ABC to the angle DEF , and the angle ACB to DFE . For , if the triangle ABC be applied to the triangle DEF , so that the point A may be on D , and the straight line AB upon DE ; the point B shall coincide with the point E ...
... angle ABC to the angle DEF , and the angle ACB to DFE . For , if the triangle ABC be applied to the triangle DEF , so that the point A may be on D , and the straight line AB upon DE ; the point B shall coincide with the point E ...
Side 25
... angle BFC is equal to the angle CGB ; wherefore the triangles BFC , CGB are equal ( 3.1 . ) and their remaining angles ... ABC is therefore equal to the remaining angle ACB , which are the angles at the base of the triangle ABC : And it ...
... angle BFC is equal to the angle CGB ; wherefore the triangles BFC , CGB are equal ( 3.1 . ) and their remaining angles ... ABC is therefore equal to the remaining angle ACB , which are the angles at the base of the triangle ABC : And it ...
Side 26
... angle , because AC is equal to AD , the angle ACD is equal ( 5. 1. ) to the angle ADC : But the angle ACD is greater ... ABC , DEF be two triangles having the two sides AB , AC , equal to the two sides DE , DF , each to each , viz . AB ...
... angle , because AC is equal to AD , the angle ACD is equal ( 5. 1. ) to the angle ADC : But the angle ACD is greater ... ABC , DEF be two triangles having the two sides AB , AC , equal to the two sides DE , DF , each to each , viz . AB ...
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Elements of Geometry: Containing the First Six Books of Euclid with a ... John Playfair Uten tilgangsbegrensning - 1855 |
Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Uten tilgangsbegrensning - 1847 |
Elements of Geometry: Containing the First Six Books of Euclid with a ... John Playfair Uten tilgangsbegrensning - 1856 |
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 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 opposite angle parallel parallelogram parallelopipeds perpendicular polygon prism PROB produced proportional 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 parallelopipeds spherical angle spherical triangle square straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore