The Synoptical Euclid; Being the First Four Books of Euclid's Elements of Geometry from the Edition of Dr. Robert Simson ... With Exercises. By S. A. Good ... Second Edition |
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Página 76
One circle cannot touch another in more points than one , whether it touches it on the inside or outside . For , if it be possible , let the circle EBF touch the circle ABC in more points than one ; and first on the inside , in the ...
One circle cannot touch another in more points than one , whether it touches it on the inside or outside . For , if it be possible , let the circle EBF touch the circle ABC in more points than one ; and first on the inside , in the ...
Página 80
For , if it does not , let it fall , if possible , within the circle , as 40 ; and draw DC to the point C where it meets the circumference . And because DA is equal ( I. Def . 15. ) ... touches the 3 circle ( III . Def . 2. ) ...
For , if it does not , let it fall , if possible , within the circle , as 40 ; and draw DC to the point C where it meets the circumference . And because DA is equal ( I. Def . 15. ) ... touches the 3 circle ( III . Def . 2. ) ...
Página 81
3 circle ( III . Def . 2. ) ; and that it touches it only in one point , because , if it did meet the circle in two , it would fall within it ( III . 2. ) . “ Also it is evident that there can be but one straight line which touches the ...
3 circle ( III . Def . 2. ) ; and that it touches it only in one point , because , if it did meet the circle in two , it would fall within it ( III . 2. ) . “ Also it is evident that there can be but one straight line which touches the ...
Página 82
If a straight line touches a circle , the straight line drawn from the centre to the point of contact , shall be perpendicular to the line touching the circle . Let the straight line DE touch the circle ABC in the point C ; take ( III .
If a straight line touches a circle , the straight line drawn from the centre to the point of contact , shall be perpendicular to the line touching the circle . Let the straight line DE touch the circle ABC in the point C ; take ( III .
Página 92
And because ABCD is a quadrilateral figure in a circle , any two of its opposite angles are equal ( III . ... this line with the line touching the circle shall be equal to the angles which are in the alternate segments of the circle .
And because ABCD is a quadrilateral figure in a circle , any two of its opposite angles are equal ( III . ... this line with the line touching the circle shall be equal to the angles which are in the alternate segments of the circle .
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Términos y frases comunes
AB is equal ABC is equal ABCD angle ABC angle ACB angle AGH angle BAC angle BCD angle equal base BC bisected centre circle ABC circumference coincide common demonstrated describe diameter distance divided double draw equal angles exterior angle extremity fall figure four given circle given point given straight line gnomon greater impossible inscribed join less Let ABC Let the straight likewise manner meet opposite angles parallel parallelogram pass pentagon perpendicular point F PROBLEM produced Q.E.D. PROP reason rectangle contained rectilineal figure remaining angle right angles segment semicircle shown side BC sides square of AC straight line AC Take touches the circle triangle ABC twice the rectangle wherefore whole
Información bibliográfica
| Título | The Synoptical Euclid; Being the First Four Books of Euclid's Elements of Geometry from the Edition of Dr. Robert Simson ... With Exercises. By S. A. Good ... Second Edition |
| Autores | EUCLID., Samuel A. GOOD |
| Edición | 2 |
| Editor | Charles Henry Law, 1854 |
| Procedencia del original | Biblioteca Británica |
| Digitalizado | 10 Dic. 2013 |
| Largo | 120 páginas |
| Exportar cita | BiBTeX EndNote RefMan |