The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 σελίδες |
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Αποτελέσματα 1 - 5 από τα 21.
Σελίδα 10
... divided into two equal parts in the point d . Which was to be done . 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 a given straight line , and ...
... divided into two equal parts in the point d . Which was to be done . 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 a given straight line , and ...
Σελίδα 23
... divided into as many triangles as the figure has 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 triangles are equal to twice as ...
... divided into as many triangles as the figure has 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 triangles are equal to twice as ...
Σελίδα 33
... 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. To ...
... 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. To ...
Σελίδα 35
... 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 be be two straight lines ; and let ...
... 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 be be two straight lines ; and let ...
Σελίδα 36
... 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 ...
... 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 ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
a b c abcd adjacent angles angle a cb angle abc angle bac angle edf angle equal base bc bc is equal bisected centre circle abc describe diameter double draw equal angles equal straight lines equal to f equimultiples ex æquali exterior angle fore four magnitudes fourth given circle given straight line gnomon greater ratio greater than f ILLUSTRATED LONDON inscribe less LET abc LET the straight likewise multiple opposite angle parallel parallelogram perpendicular Q. E. D. PROPOSITION rectangle a b rectangle contained remaining angle right angles segment shewn square of a c square of eg straight line a b straight line ab straight line bc tiple touches the circle triangle abc triangle def twice the rectangle
Δημοφιλή αποσπάσματα
Σελίδα 40 - 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 2 - Let it be granted that a straight line may be drawn from any one point to any other point.
Σελίδα 19 - 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 27 - 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 36 - 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 13 - 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 11 - If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles.
Σελίδα 2 - 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 124 - 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.