Euclid, books i. & ii., with notes, examples, and explanations, by a late fellow and senior mathematical lecturer1879 |
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Side 7
... produced ever so far both ways do not meet . 36. A parallelogram is a four - sided figure , of which the opposite sides are parallel . 37. The diameter ( or diagonal ) of a parallelogram is the straight line joining two of its opposite ...
... produced ever so far both ways do not meet . 36. A parallelogram is a four - sided figure , of which the opposite sides are parallel . 37. The diameter ( or diagonal ) of a parallelogram is the straight line joining two of its opposite ...
Side 8
... produced to any length in a straight line . 3. That a circle may be described from any centre , at any distance from that centre . AXIOMS . 1. Things which are equal to the same thing are equal to one another . 2. If equals be added to ...
... produced to any length in a straight line . 3. That a circle may be described from any centre , at any distance from that centre . AXIOMS . 1. Things which are equal to the same thing are equal to one another . 2. If equals be added to ...
Side 9
Euclides. being continually produced , shall at length meet on that side on which are the angles which are less than two right angles . [ Geometrical propositions ( things proposed ) are of two ... produced, shall at length meet on that ...
Euclides. being continually produced , shall at length meet on that side on which are the angles which are less than two right angles . [ Geometrical propositions ( things proposed ) are of two ... produced, shall at length meet on that ...
Side 13
... produce the st . lines DA , DB to E and F ; from the centre B , at the distance BC , describe ( post . 1 ) ( i . 1 ) ( post . 2 ) CHG ; ( post . 3 ) and from the centre D , at the distance DG , describe O GKL . Then the st . line AL ...
... produce the st . lines DA , DB to E and F ; from the centre B , at the distance BC , describe ( post . 1 ) ( i . 1 ) ( post . 2 ) CHG ; ( post . 3 ) and from the centre D , at the distance DG , describe O GKL . Then the st . line AL ...
Side 14
... produced , there are several ways in which the line may be drawn . For ( 1 ) the given line has two ends , each of which may be joined to the given point ; ( 2 ) the equilateral triangle may be described on either side of this line ...
... produced , there are several ways in which the line may be drawn . For ( 1 ) the given line has two ends , each of which may be joined to the given point ; ( 2 ) the equilateral triangle may be described on either side of this line ...
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Euclid, Books I. & II., with Notes, Examples, and Explanations, by a Late ... Euclides Ingen forhåndsvisning tilgjengelig - 2016 |
Vanlige uttrykk og setninger
ABCD algebraical angle contained angle equal base BC beginner centre coincide compl Constr contains a units demonstration describe sq diagonal diameter double of sq double sq draw equal angles equal sides equilat equilateral triangle Euclid exterior angle four rt geometrical given line given point given rectilineal given st given straight line gnomon CMG greater half a rt hypotenuse isosceles triangle join less Let AB contain Let ABC line drawn meet opposite angles opposite sides parallel parallelogram PROBLEM produced prop proved quadrilateral rectangle contained rectil right angles right-angled triangle sides equal square THEOREM triangle ABC twice rect unequal vertex
Populære avsnitt
Side 48 - If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent.
Side 32 - If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line.
Side 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 : 16. And this point is called the centre of the circle. 17. A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Side 109 - 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 half the line bisected, is equal to the square of the straight line, which is made up of the half and the part produced.
Side 1 - ... angles is called a right angle; and the straight line which stands on the other is called a perpendicular to it. 11. An obtuse angle is that which is greater than a right angle. 12. An acute angle is that which \ is less than a right angle. 13. A term or boundary is the extremity of any thing.
Side 6 - Notions 1. Things which are equal to the same thing are also equal to one another. 2. If equals be added to equals, the wholes are equal. 3. If equals be subtracted from equals, the remainders are equal. 4. Things which coincide with one another are equal to one another.
Side 77 - To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.
Side 3 - An equilateral triangle is that which has three equal sides : 25. An isosceles triangle is that which has two sides equal : 26. A scalene triangle is that which has three unequal sides : 27.
Side 1 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle; and the straight line which stands on the other is called a perpendicular to it.
Side 84 - In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle.