The Elements of Geometry, Symbolically Arranged |
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Σελίδα 7
... RECTILINEAL FIGURES . 19. Rectilineal figures are those which are contained by straight lines . The straight lines are called sides , and the sum of all the sides is called the perimeter of the figure . 20. Rectilineal figures contained ...
... RECTILINEAL FIGURES . 19. Rectilineal figures are those which are contained by straight lines . The straight lines are called sides , and the sum of all the sides is called the perimeter of the figure . 20. Rectilineal figures contained ...
Σελίδα 5
... rectilineal ' is introduced , which means " contained by straight lines . " Secondly , ' straight ' is introduced , as is required by the previous term ' rectilineal . " Thirdly , the words “ in a plane " are left out ; for they are ...
... rectilineal ' is introduced , which means " contained by straight lines . " Secondly , ' straight ' is introduced , as is required by the previous term ' rectilineal . " Thirdly , the words “ in a plane " are left out ; for they are ...
Σελίδα 22
... rectilineal figure is said to be inscribed ( inscribere , to write in ) in another rectilineal figure when the angular points of the inscribed figure , as ABCD , touch ? the sides of the figure EFGH , in which it is inscribed , each ...
... rectilineal figure is said to be inscribed ( inscribere , to write in ) in another rectilineal figure when the angular points of the inscribed figure , as ABCD , touch ? the sides of the figure EFGH , in which it is inscribed , each ...
Σελίδα 31
... rectilineal figure upon the first , to a similar and similarly described rectilineal figure upon the second . PROP . XXI . THEOREM . Rectilineal figures which are similar to the same rectilineal figure , are also similar to one another ...
... rectilineal figure upon the first , to a similar and similarly described rectilineal figure upon the second . PROP . XXI . THEOREM . Rectilineal figures which are similar to the same rectilineal figure , are also similar to one another ...
Σελίδα 42
... rectilineal Figures have to one another the duplicate ratio of their homologous sides . COR . 2. If three straight Lines be proportionals , as the first is to the third , so is any rectilineal Figure upon the first , to a similar and ...
... rectilineal Figures have to one another the duplicate ratio of their homologous sides . COR . 2. If three straight Lines be proportionals , as the first is to the third , so is any rectilineal Figure upon the first , to a similar and ...
Άλλες εκδόσεις - Προβολή όλων
The Elements of Geometry, Symbolically Arranged Great Britain Admiralty Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
2ndly ABCD AC² angle contained angle equal base BC CB² centre circle circumference coincides Constr descr diam diameter dist divided equal angles equiangular equilat exterior angle figure given point given str given straight line gnomon greater isosceles triangle join Let ABC Let str Let the str line be drawn meet number of equal oppo opposite angle opposite sides parallel parallelogram perpendicular polygon PROB prod Prop rect rectangle contained rectilineal right angles right-angled triangle semi sides equal square THEOR touch trapezium Wherefore whole fig Нур
Δημοφιλή αποσπάσματα
Σελίδα 60 - If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line.
Σελίδα 34 - 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. either the sides adjacent to the equal...
Σελίδα 62 - 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...
Σελίδα 38 - Wherefore, if a straight line, &c. QB D. PROPOSITION XXVIII. THEOB.—-If a straight line, falling upon two other straight lines, make the exterior angle equal to...
Σελίδα 63 - 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 in the point C ; the squares of AB, BC are equal to twice the rectangle AB, BC, together with the square of AC.
Σελίδα 23 - 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.
Σελίδα 39 - IF a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another; and the exterior angle equal to the interior and opposite upon the same side; and likewise the two interior angles upon the same side together equal to two right angles...
Σελίδα 5 - 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 : XVI.
Σελίδα 79 - If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, the angles which this line makes with the line touching the circle, shall be equal to the angles which are in the alternate segments of the circle.
Σελίδα 21 - To draw a straight line perpendicular to a given straight line of an unlimited length, from a given point without it.