The first six books of the Elements of Euclid, with numerous exercises |
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Αποτελέσματα 1 - 5 από τα 20.
Σελίδα 10
4 ) d b , and the straight line a b is divided into two equal parts in the point d .
Which was to be done . d PROPOSITION XI . — PROBLEM . To draw a straight
line at right angles to a given straight line , from a given point in the same . LET
a b be ...
4 ) d b , and the straight line a b is divided into two equal parts in the point d .
Which was to be done . d PROPOSITION XI . — PROBLEM . To draw a straight
line at right angles to a given straight line , from a given point in the same . LET
a b be ...
Σελίδα 23
For any rectilineal figure abcde , can be d divided into as many triangles as the
figure has e sides , by drawing straight lines from a point f within the figure to
each of its angles . And , by the preceding proposition , all the angles of these ...
For any rectilineal figure abcde , can be d divided into as many triangles as the
figure has e sides , by drawing straight lines from a point f within the figure to
each of its angles . And , by the preceding proposition , all the angles of these ...
Σελίδα 33
Given an angle divided into any number of equal angles , to divide one half of the
angle into the same number of equal angles . 6. Given the base , one of the
angles at the base , and the sum of the other two sides , to construct the triangle .
7.
Given an angle divided into any number of equal angles , to divide one half of the
angle into the same number of equal angles . 6. Given the base , one of the
angles at the base , and the sum of the other two sides , to construct the triangle .
7.
Σελίδα 35
If there be two straight lines , one of which is divided into any number of parts ,
the rectangle contained by the two straight lines is equal to the rectangles
contained by the undivided line , and the several parts of the divided line . LET a
and bc ...
If there be two straight lines , one of which is divided into any number of parts ,
the rectangle contained by the two straight lines is equal to the rectangles
contained by the undivided line , and the several parts of the divided line . LET a
and bc ...
Σελίδα 36
If a straight line be divided into any two parts , the rectangles contained by the
whole and each of the parts are together equal to the square of the whole line .
LET the straight line ab be divided into any two parts in the point C ; the rectangle
...
If a straight line be divided into any two parts , the rectangles contained by the
whole and each of the parts are together equal to the square of the whole line .
LET the straight line ab be divided into any two parts in the point C ; the rectangle
...
Τι λένε οι χρήστες - Σύνταξη κριτικής
Δεν εντοπίσαμε κριτικές στις συνήθεις τοποθεσίες.
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
a b c d angle a b c angle bac applied base base bc bc is equal bisected centre circle circumference common compounded definition demonstrated describe diameter divided double draw equal angles equiangular equilateral equimultiples exterior angle extremity fall fore four fourth given rectilineal given straight line greater half inscribe interior join less likewise magnitudes manner meet multiple parallel parallelogram pass perpendicular produced proportionals Q. E. D. PROPOSITION ratio reason rectangle contained rectilineal figure remaining remaining angle right angles segment shewn sides similar square straight line a b Take taken third touches the circle triangle a b c wherefore whole
Δημοφιλή αποσπάσματα
Σελίδα 2 - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another : XVI.
Σελίδα 42 - To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, may be equal to the square of the other part.
Σελίδα 4 - Let it be granted that a straight line may be drawn from any one point to any other point.
Σελίδα 21 - That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles.
Σελίδα 29 - To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.
Σελίδα 38 - If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced and the part of it produced, together with the square of...
Σελίδα 15 - If, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than, the other two sides of the triangle, but shall contain a greater angle. Let...
Σελίδα 13 - If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles.
Σελίδα 4 - If a straight line meet two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...
Σελίδα 126 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.