The Harpur Euclid: An Edition of Euclid's ElementsRivingtons, 1890 - 515 σελίδες |
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Αποτελέσματα 1 - 5 από τα 77.
Σελίδα 2
... contain , or to make with each other , a plane angle , ' and to indicate the nature of an angle by saying that the angle is greater or less , according as the amount of turning round the point that would bring either of the lines into ...
... contain , or to make with each other , a plane angle , ' and to indicate the nature of an angle by saying that the angle is greater or less , according as the amount of turning round the point that would bring either of the lines into ...
Σελίδα 3
... contained by the straigh lines AB , DB is named the angle ABD or DBA ; and the angle contained by the straight lines DB , CB is named the angle DBC or CBD . But if there is only one angle at a point , it may be expressed by a letter ...
... contained by the straigh lines AB , DB is named the angle ABD or DBA ; and the angle contained by the straight lines DB , CB is named the angle DBC or CBD . But if there is only one angle at a point , it may be expressed by a letter ...
Σελίδα 12
... contained by those sides equal to one another , they shall also have their bases or third sides equal ; and the two triangles shall be equal , and their other angles shall be equal , each to each , namely those to which the equal sides ...
... contained by those sides equal to one another , they shall also have their bases or third sides equal ; and the two triangles shall be equal , and their other angles shall be equal , each to each , namely those to which the equal sides ...
Σελίδα 14
... contain the angle FAG common to the two triangles AFC , AGB , therefore the base FC is equal to the base GB , the angle ACF is equal to the angle ABG , and the angle AFC is equal to the angle AGB . [ I. 4 . Again , because the whole AF ...
... contain the angle FAG common to the two triangles AFC , AGB , therefore the base FC is equal to the base GB , the angle ACF is equal to the angle ABG , and the angle AFC is equal to the angle AGB . [ I. 4 . Again , because the whole AF ...
Σελίδα 15
... ( contained by BF , FC ) to the angle CGB ( contained by CG , GB ) ; therefore the angle CBF is equal to the angle BCG , and the angle BCF is equal to the angle CBG . · [ I . 4 . But the whole angle ACF has been shown to be equal to the ...
... ( contained by BF , FC ) to the angle CGB ( contained by CG , GB ) ; therefore the angle CBF is equal to the angle BCG , and the angle BCF is equal to the angle CBG . · [ I . 4 . But the whole angle ACF has been shown to be equal to the ...
Άλλες εκδόσεις - Προβολή όλων
The Harpur Euclid: An Edition of Euclid's Elements, Revised in Accordance ... Edward Mann Langley,Euclid,W. Seys Phillips Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
bisect bisector Brocard point chord circum-circle of triangle circumference coincide common concyclic congruent cyclic quadrilateral demonstration described diagonals diameter diamr divided draw equal angles equiangr equiangular equidistant equilateral triangle equimultiples Euclid exterior angle Geometry given circle given point given ratio given st given straight line given triangle greater Hence inscribed intersect isosceles isosceles triangle Join Let ABC locus magnitude meet mid-point opposite sides parallel parallelogram pass pentagon perpendicular plane produced Prop PROPOSITION PROPOSITION 13 radical axis radius rect rectangle contained reqd rhombus right angles segment Show sides BC similar Similarly Simson's line square straight line drawn student subtended symmedian symmedian point tangent THEOREM touch triangle ABC vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 21 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Σελίδα 369 - 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 390 - ... figures are to one another in the duplicate ratio of their homologous sides.
Σελίδα 97 - Let it be granted that a straight line may be drawn from any one point to any other point.
Σελίδα 370 - IN a right-angled triangle, if a perpendicular be drawn from the right angle to the base, the triangles on each side of it are similar to the whole triangle, and to one another.
Σελίδα 96 - 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.
Σελίδα 40 - Any two sides of a triangle are together greater than the third side.
Σελίδα 143 - Three times the sum of the squares on the sides of a triangle is equal to four times the sum of the squares of the lines joining the middle point of each side with the opposite angles.
Σελίδα 407 - Pythagoras' theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides.
Σελίδα 156 - 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...