The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With Notes and Illustrations, and an Appendix in Five BooksA. & C. Black, 1837 - 390 σελίδες |
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Σελίδα 3
... rectangle.§ • An equilateral figure is that which has equal sides , and an equiangular one that which has equal ... rectangle which is not a square , is sometimes called an oblong . 27. A rectangle which has two adjacent sides equal ...
... rectangle.§ • An equilateral figure is that which has equal sides , and an equiangular one that which has equal ... rectangle which is not a square , is sometimes called an oblong . 27. A rectangle which has two adjacent sides equal ...
Σελίδα 4
... rectangle which has two adjacent sides equal , is called a square . 28. A rhombus is a parallelogram which has two adjacent sides equal , but its angles are not right angles . *こ 29. A rhomboid is a parallelogram which has not its ...
... rectangle which has two adjacent sides equal , is called a square . 28. A rhombus is a parallelogram which has two adjacent sides equal , but its angles are not right angles . *こ 29. A rhomboid is a parallelogram which has not its ...
Σελίδα 36
... rectangle has the least perimeter . It may also be remarked that Legendre and some other writers call only such figures equal , as exactly coincide when applied to one another ; while those which , as in this proposition , " without ...
... rectangle has the least perimeter . It may also be remarked that Legendre and some other writers call only such figures equal , as exactly coincide when applied to one another ; while those which , as in this proposition , " without ...
Σελίδα 42
... rectangle BD , be divided into parts AE , EF , AH , & c . , which are all equal ; straight lines drawn through E , F , H , & c . , the points of section , parallel to the sides , divide the rectangle into squares , HE , FL , KL , & c ...
... rectangle BD , be divided into parts AE , EF , AH , & c . , which are all equal ; straight lines drawn through E , F , H , & c . , the points of section , parallel to the sides , divide the rectangle into squares , HE , FL , KL , & c ...
Σελίδα 43
... rectangle be 4 feet , and its breadth 3 feet , it will contain 12 squares , the side of each of which is one foot ; or , as it is briefly expressed , its area is 12 square feet : and a rectangle 15 inches long , and 10 inches broad ...
... rectangle be 4 feet , and its breadth 3 feet , it will contain 12 squares , the side of each of which is one foot ; or , as it is briefly expressed , its area is 12 square feet : and a rectangle 15 inches long , and 10 inches broad ...
Άλλες εκδόσεις - Προβολή όλων
The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ... Euclid Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD altitude angle ABC angle BAC angle equal BC is equal bisected centre chord circle ABC circumference cone const contained cylinder describe a circle diagonal diameter divided draw equal angles equal to AC equiangular equilateral Euclid exterior angle fore fourth given circle given point given ratio given straight line greater half Hence hypotenuse inscribed join less Let ABC magnitudes manner multiple opposite parallel parallelepiped parallelogram perpendicular polygon polyhedron prism PROB produced PROP proportional proposition pyramid radius rectangle rectilineal figure right angles Schol segments semicircle sides similar similar triangles solid angles square of AC straight lines drawn tangent THEOR third triangle ABC triplicate ratio vertex vertical angle wherefore
Δημοφιλή αποσπάσματα
Σελίδα 94 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Σελίδα 53 - If a straight line be divided into any two parts, the squares of the whole line and of one of the parts are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided into any two parts at the point C : the squares of AB, BC shall be equal to twice the rectangle AB, BC, together with the square of AC.
Σελίδα 143 - 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.
Σελίδα 4 - A rhombus is that which has all its sides equal, but its angles are not right angles.
Σελίδα 57 - 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 on the other part.
Σελίδα 138 - IF a straight line be drawn parallel to one of the sides of a triangle, it shall cut the other sides, or those produced, proportionally; and if the sides, or the sides produced, be cut proportionally, the straight line which joins the points of section shall be parallel to the remaining side of the triangle...
Σελίδα 43 - 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.
Σελίδα 32 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Σελίδα 40 - To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.
Σελίδα 36 - PARALLELOGRAMS upon the same base, and between the same parallels, are equal to one another...