Euclid, books i. & ii., with notes, examples, and explanations, by a late fellow and senior mathematical lecturer1879 |
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Side 7
... 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 angles . [ At the close of the definitions Euclid ...
... 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 angles . [ At the close of the definitions Euclid ...
Side 10
... parallelogram 33 because therefore . opp . " opposite It is usual to place the letters Q.E.F. ( an abbreviation for quod erat faciendum , that is , which was to be done ) at the end of the discussion of a problem , and the letters ...
... parallelogram 33 because therefore . opp . " opposite It is usual to place the letters Q.E.F. ( an abbreviation for quod erat faciendum , that is , which was to be done ) at the end of the discussion of a problem , and the letters ...
Side 55
Euclides. 1. The quadrilateral whose diagonals bisect each other is a parallelogram . 2. A line joining two parallel straight lines is bisected : show that any other straight line drawn through the point of bisection to meet the parallel ...
Euclides. 1. The quadrilateral whose diagonals bisect each other is a parallelogram . 2. A line joining two parallel straight lines is bisected : show that any other straight line drawn through the point of bisection to meet the parallel ...
Side 57
... parallelogram . 2. From any point D on the base of an isosceles triangle , perpendiculars are drawn to the other two ( the equal ) sides prove that the sum of the perpendiculars is the same whatever be the position of D. PROPOSITION ...
... parallelogram . 2. From any point D on the base of an isosceles triangle , perpendiculars are drawn to the other two ( the equal ) sides prove that the sum of the perpendiculars is the same whatever be the position of D. PROPOSITION ...
Side 64
... parallelogram are at right angles to one another . 4. If the interior angle at one angular point of a triangle and the exterior angle at another be bisected by straight lines , the angle contained by the two bisecting lines is equal to ...
... parallelogram are at right angles to one another . 4. If the interior angle at one angular point of a triangle and the exterior angle at another be bisected by straight lines , the angle contained by the two bisecting lines is equal to ...
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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.