The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate |
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Side 3
XXII . Quadrilateral , by four straight lines . XXIII . Multilateral figures , or polygons , by more than four straight lines . XXIV . Of three - sided figures , an equilateral triangle is that which has three ...
XXII . Quadrilateral , by four straight lines . XXIII . Multilateral figures , or polygons , by more than four straight lines . XXIV . Of three - sided figures , an equilateral triangle is that which has three ...
Side 6
To describe an equilateral triangle upon a given finite straight line . Let A B be the given straight line ; it is required to describe an equilateral triangle upon it . From the centre A , at the distance A B , describe ( Postulate 3. ) ...
To describe an equilateral triangle upon a given finite straight line . Let A B be the given straight line ; it is required to describe an equilateral triangle upon it . From the centre A , at the distance A B , describe ( Postulate 3. ) ...
Side 7
the equilateral triangle DAB , and produce ( Post . 2. ) the straight lines DA , DB , to E and F ; from the centre B , at the distance BC , describe ( Post . 3. ) the circle CGH , and from the centre D , at the distance DG , describe ...
the equilateral triangle DAB , and produce ( Post . 2. ) the straight lines DA , DB , to E and F ; from the centre B , at the distance BC , describe ( Post . 3. ) the circle CGH , and from the centre D , at the distance DG , describe ...
Side 11
Hence every equilateral triangle is also equiangular . DI PROP . VI . THEOR . If two angles of a triangle be equal to one another , the sides also which subtend , or are opposite to , the equal angles , shall be equal to one another .
Hence every equilateral triangle is also equiangular . DI PROP . VI . THEOR . If two angles of a triangle be equal to one another , the sides also which subtend , or are opposite to , the equal angles , shall be equal to one another .
Side 14
an equilateral triangle DEF ; then join A F ; the straight line AF bisects the triangle B A C. Because Ad is equal to A E , and A F is common to the two triangles DAF , EAF ; the two sides DA , A F , are equal to the two sides E A ...
an equilateral triangle DEF ; then join A F ; the straight line AF bisects the triangle B A C. Because Ad is equal to A E , and A F is common to the two triangles DAF , EAF ; the two sides DA , A F , are equal to the two sides E A ...
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Vanlige uttrykk og setninger
A B C ABCD adjacent angle ABC angle ACB angle BAC angle equal base BC BC is equal bisect centre circle ABC circumference coincide common construct demonstrated describe diameter divided double draw equal angles equal to FB equilateral exterior angle extremity figure fore four given point given straight line greater impossible interior join less Let ABC likewise lines AC manner meet opposite angles opposite sides parallel parallelogram pass perpendicular PROB produced Q. E. D. PROP rectangle A B rectangle contained remaining remaining angle right angles segment semicircle shown sides squares of AC straight line A B Take taken THEOR third touch touches the circle triangle ABC twice the rectangle Wherefore whole
Bibliografisk informasjon
| Tittel | The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate Gleig's sch. series |
| Forfatter | Euclides |
| Redaktør | Thomas Tate |
| distribuert | 1851 |
| Original fra | Oxford University |
| Digitalisert | 30. jan 2009 |
| Lengde | 139 sider |
| Eksporter sitat | BiBTeX EndNote RefMan |