Euclid, books i. & ii., with notes, examples, and explanations, by a late fellow and senior mathematical lecturer1879 |
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Resultat 1-5 av 18
Side 11
... given finite straight line . Let AB be the given st . line . It is required to describe an equilat . A on AB . D A B E Constr . From the centre A , at the distance AB , describe © BCD ; ( post . 3 ) from the centre B , at the distance ...
... given finite straight line . Let AB be the given st . line . It is required to describe an equilat . A on AB . D A B E Constr . From the centre A , at the distance AB , describe © BCD ; ( post . 3 ) from the centre B , at the distance ...
Side 12
... given straight line AB . ( def . 24 ) Q. E. F. [ Here the data are the given st . line ; the quæsita , an equilateral triangle on it . The general enunciation , ' to de- scribe an equilateral triangle on a given finite straight line ...
... given straight line AB . ( def . 24 ) Q. E. F. [ Here the data are the given st . line ; the quæsita , an equilateral triangle on it . The general enunciation , ' to de- scribe an equilateral triangle on a given finite straight line ...
Side 13
... given pt . , and BC the given straight line . It is required to draw from the pt . A a st . line equal to BC . K H D B G A E Constr . From the pt . A to B draw the st . line AB ; on AB describe the equilat . △ ABD , and produce the st ...
... given pt . , and BC the given straight line . It is required to draw from the pt . A a st . line equal to BC . K H D B G A E Constr . From the pt . A to B draw the st . line AB ; on AB describe the equilat . △ ABD , and produce the st ...
Side 14
... given pt . A a st . line AL has been drawn equal to the given st . line BC . Q. E. F. [ It is unnecessary to point out the general enunciation , and particular enunciation ; the beginner will easily be able to do this for himself , from ...
... given pt . A a st . line AL has been drawn equal to the given st . line BC . Q. E. F. [ It is unnecessary to point out the general enunciation , and particular enunciation ; the beginner will easily be able to do this for himself , from ...
Side 15
... given st . lines , of which AB is the greater . It is required to cut off from AB , the greater , a part equal to CD , the less . A E B H B Constr . From the pt . A draw the st . line AE = CD ; ( i . 2 ) with centre A at the distance AE ...
... given st . lines , of which AB is the greater . It is required to cut off from AB , the greater , a part equal to CD , the less . A E B H B Constr . From the pt . A draw the st . line AE = CD ; ( i . 2 ) with centre A at the distance AE ...
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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.