The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate1851 - 139 sider |
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Resultat 1-5 av 15
Side 1
... taken , the straight line between them lies wholly in that superficies . VIII . " A plane angle is the inclination of two lines to one another in a plane , which meet together , but are not in the same direction . " IX . A plane ...
... taken , the straight line between them lies wholly in that superficies . VIII . " A plane angle is the inclination of two lines to one another in a plane , which meet together , but are not in the same direction . " IX . A plane ...
Side 5
... taken from equals , the remainders are equal . IV . If equals be added to unequals , the wholes are unequal . V. If equals be taken from unequals , the remainders are unequal . VI . Things which are double of the same , are equal to one ...
... taken from equals , the remainders are equal . IV . If equals be added to unequals , the wholes are unequal . V. If equals be taken from unequals , the remainders are unequal . VI . Things which are double of the same , are equal to one ...
Side 6
... taken together less than two right angles , these straight lines being continually pro- duced , shall at length meet upon that side on which are the angles which are less than two right angles . " PROPOSITION I. PROBLEM . To describe an ...
... taken together less than two right angles , these straight lines being continually pro- duced , shall at length meet upon that side on which are the angles which are less than two right angles . " PROPOSITION I. PROBLEM . To describe an ...
Side 70
... taken in the circumference of a circle , the straight line which joins them shall fall within the circle . Let ABC be a circle , and A , B any two points in the circumference ; the straight line drawn from A to B shall fall within the ...
... taken in the circumference of a circle , the straight line which joins them shall fall within the circle . Let ABC be a circle , and A , B any two points in the circumference ; the straight line drawn from A to B shall fall within the ...
Side 74
... taken in the diameter of a circle which is not the centre , of all the straight lines which can be drawn from it to the circumference , the greatest is that in which the centre is , and the other part of that diameter is the least ; and ...
... taken in the diameter of a circle which is not the centre , of all the straight lines which can be drawn from it to the circumference , the greatest is that in which the centre is , and the other part of that diameter is the least ; and ...
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The First Three Books of Euclid's Elements of Geometry from the Text of Dr ... Euclid,Thomas Tate Ingen forhåndsvisning tilgjengelig - 2014 |
Vanlige uttrykk og setninger
A B C ABCD adjacent angles angle ABC angle ACB angle BAC angle equal angles BGH base BC BC is equal bisect centre circle ABC circumference diameter divided double draw a straight equal angles equal circles equal straight lines equal to FB exterior angle given point given rectilineal angle given straight line gnomon greater half a right hypotenuse interior and opposite isosceles triangle less Let ABC Let the straight line be drawn opposite angles parallel parallelogram perpendicular PROB produced Q. E. D. PROP rectangle AE rectangle contained rectilineal figure remaining angle right angles segment semicircle side BC square of AC straight line AB straight line AC straight line drawn THEOR touches the circle trapezium triangle ABC twice the rectangle vertex vertical angle