The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate |
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Side 2
... and the straight line which stands on the other is called a perpendicular to it . XI . An obtuse angle is that which is greater than a right angle . XII . An acute angle is that which is less than a right angle . XIII .
... and the straight line which stands on the other is called a perpendicular to it . XI . An obtuse angle is that which is greater than a right angle . XII . An acute angle is that which is less than a right angle . XIII .
Side 16
To draw a straight line perpendicular to a given straight line of an unlimited length , from a given point without it . Let AB be the given straight line , which may be produced to any length both ways , and let c be a C E A GB D point ...
To draw a straight line perpendicular to a given straight line of an unlimited length , from a given point without it . Let AB be the given straight line , which may be produced to any length both ways , and let c be a C E A GB D point ...
Side 17
It is required to draw a straight line perpendicular to AB from the point c . Take any point d upon the other side of AB , from the cenII tre c , at the distance cd , describe ( Post . 3. ) the circle EGF meeting AB in F , G ; and ...
It is required to draw a straight line perpendicular to AB from the point c . Take any point d upon the other side of AB , from the cenII tre c , at the distance cd , describe ( Post . 3. ) the circle EGF meeting AB in F , G ; and ...
Side 63
In obtuse angled triangles , if a perpendicular be drawn from any of the acute angles to the opposite side produced , the square of the side subtending the obtuse angle is greater than the squares of the sides containing the obtuse ...
In obtuse angled triangles , if a perpendicular be drawn from any of the acute angles to the opposite side produced , the square of the side subtending the obtuse angle is greater than the squares of the sides containing the obtuse ...
Side 64
А В C D cepted without the triangle between the perpendicular and the obtuse angle . Let ABC be an obtuse angled triangle , having the obtuse angle ACB , and from the point a let AD be drawn ( 1. 12. ) , perpendicular to B C ' produced ...
А В C D cepted without the triangle between the perpendicular and the obtuse angle . Let ABC be an obtuse angled triangle , having the obtuse angle ACB , and from the point a let AD be drawn ( 1. 12. ) , perpendicular to B C ' produced ...
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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 |