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 Trigonometry |
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Página 20
Parallel straight lines , are such as are in the same plane , and which being produced ever so far both ways , do not meet . 2 POSTULATES . I. Let it be granted that a straight 20 ELEMENTS A ...
Parallel straight lines , are such as are in the same plane , and which being produced ever so far both ways , do not meet . 2 POSTULATES . I. Let it be granted that a straight 20 ELEMENTS A ...
Página 21
That a terminated straight line may be produced to any length in a straight line . III . And that a circle may be described from any centre , at any distance from that centre . AXIOMS . I. THINGS which are equal to the same thing are ...
That a terminated straight line may be produced to any length in a straight line . III . And that a circle may be described from any centre , at any distance from that centre . AXIOMS . I. THINGS which are equal to the same thing are ...
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1. the equilateral triangle DAB , and produce ( 2. Post . ) the straight lines DA , H BD , to E and F ; from the centre B , at the distance BC , describe ( 3. Post . ) the D circle CGH , and from the centre D , at the distance DG ...
1. the equilateral triangle DAB , and produce ( 2. Post . ) the straight lines DA , H BD , to E and F ; from the centre B , at the distance BC , describe ( 3. Post . ) the D circle CGH , and from the centre D , at the distance DG ...
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The angles at the base of an Isosceles triangle are equal to one another ; and if the equal sides be produced , the angles upon the other side of the base shall also be equal . > > > > Let ABC be an isosceles triangle , of which the ...
The angles at the base of an Isosceles triangle are equal to one another ; and if the equal sides be produced , the angles upon the other side of the base shall also be equal . > > > > Let ABC be an isosceles triangle , of which the ...
Página 26
But if one of the vertices , as D , be within the other triangle ACB ; produce AC , AD to E , F ; therefore , because AC is equal to AD in the triangle ACD , the angles ECD , FVC upon the other side of the base CD are equal ( 5 . 1. ) ...
But if one of the vertices , as D , be within the other triangle ACB ; produce AC , AD to E , F ; therefore , because AC is equal to AD in the triangle ACD , the angles ECD , FVC upon the other side of the base CD are equal ( 5 . 1. ) ...
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Términos y frases comunes
ABC is equal ABCD altitude angle ABC angle BAC arch base bisected Book called centre circle circle ABC circumference coincide common cylinder definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular Euclid exterior angle extremity fall fore four fourth given given straight line greater half inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism produced PROP proportionals proposition proved radius ratio reason rectangle contained rectilineal figure right angles segment shewn sides similar sine solid square straight line taken tangent THEOR thing third touches triangle ABC wherefore whole
Información bibliográfica
| Título | 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 Trigonometry |
| Autor | John Playfair |
| Editor | E. Duyckinck, and George Long, 1824 |
| Procedencia del original | Universidad de Indiana |
| Digitalizado | 15 Ene. 2009 |
| Largo | 333 páginas |
| Exportar cita | BiBTeX EndNote RefMan |