The Elements of EuclidLongmans, Green and Company, 1866 - 376 páginas |
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Página 2
... 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 , DB , is named the angle ABD or DBA , and that which is contained by DB ...
... 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 , DB , is named the angle ABD or DBA , and that which is contained by DB ...
Página 8
... triangle ABC to the triangle DEF , and the other angles shall be equal , each to each , to which the equal sides are opposite , viz . the angle ABC to the angle DEF , and the angle ACB to the angle DFE . B For , if the triangle ABC be ...
... triangle ABC to the triangle DEF , and the other angles shall be equal , each to each , to which the equal sides are opposite , viz . the angle ABC to the angle DEF , and the angle ACB to the angle DFE . B For , if the triangle ABC be ...
Página 9
... angle ABC to the angle DEF , and the angle ACB to the angle DFE . Wherefore , If two triangles , & c . Q. E. D. PROP . V. THEOR . The angles at the base of an isosceles triangle are equal to one another ; and , if the equal sides be ...
... angle ABC to the angle DEF , and the angle ACB to the angle DFE . Wherefore , If two triangles , & c . Q. E. D. PROP . V. THEOR . The angles at the base of an isosceles triangle are equal to one another ; and , if the equal sides be ...
Página 10
Euclides. sides are opposite , viz . the angle ACF to the angle ABG and the angle AFC to the angle AGB . And because ... ABC is there- fore equal to the remaining angle ACB ( Ax . 3 ) , which are the angles at the base of the triangle ABC ...
Euclides. sides are opposite , viz . the angle ACF to the angle ABG and the angle AFC to the angle AGB . And because ... ABC is there- fore equal to the remaining angle ACB ( Ax . 3 ) , which are the angles at the base of the triangle ABC ...
Página 12
Euclides. is the angle BDC greater than the angle BCD : Again , because BD is equal to BC the angle BDC is equal to the angle BCD : but it has been proved to be greater than it - which ... triangle ABC be applied to the 12 EUCLID'S ELEMENTS .
Euclides. is the angle BDC greater than the angle BCD : Again , because BD is equal to BC the angle BDC is equal to the angle BCD : but it has been proved to be greater than it - which ... triangle ABC be applied to the 12 EUCLID'S ELEMENTS .
Términos y frases comunes
AB² ABCD AC² AD² adjacent angles angle ABC angle ACB angle BAC angle equal base BC BC is equal centre chord circle ABC circumference diameter double draw equal angles equal to F equiangular equilateral triangle equimultiples exterior angle fore given circle given line given point given rectilineal given straight line gnomon hypotenuse inscribed intersection isosceles triangle join less Let ABC lines be drawn lines drawn meet multiple opposite angles parallel to BC parallelogram perpendicular plane polygon PROB produced proportionals Q. E. D. PROP rectangle contained rectilineal figure remaining angle right angles segment semicircle shew shewn square on AC tangents THEOR touches the circle triangle ABC twice the rectangle vertex Wherefore