A Royal Road to Geometry: Or, an Easy and Familiar Introduction to the Mathematics. ... By Thomas Malton. ...author, and sold, 1774 - 440 σελίδες |
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Σελίδα 1
... Theorems and length of the Demonstrations . But , they will find , in this Work , particularly in the 2nd , the 3rd , the 6th , 7th and 8th Books , feveral valuable Theorems ... Theorem . Theo . 7 --- Theo . Prop . Thea BOOK ADVERTISEMENT .
... Theorems and length of the Demonstrations . But , they will find , in this Work , particularly in the 2nd , the 3rd , the 6th , 7th and 8th Books , feveral valuable Theorems ... Theorem . Theo . 7 --- Theo . Prop . Thea BOOK ADVERTISEMENT .
Σελίδα vi
... Theorems ; making , of them , a diftinct and feparate Book , for the ufe of Schools and for Mechanics in gene- ral ; the full Demonftration , of which , may be obtained from the Elements , to which I refer where it is neceffary . I have ...
... Theorems ; making , of them , a diftinct and feparate Book , for the ufe of Schools and for Mechanics in gene- ral ; the full Demonftration , of which , may be obtained from the Elements , to which I refer where it is neceffary . I have ...
Σελίδα 3
... Theorem , propofed to be proved or demonftrated , contemplatively ; or , it proposes fomething to be done , problematically or mechanically . A CONVERSE PROPOSITION is the contrary of the other ; that , which in the foregoing was the ...
... Theorem , propofed to be proved or demonftrated , contemplatively ; or , it proposes fomething to be done , problematically or mechanically . A CONVERSE PROPOSITION is the contrary of the other ; that , which in the foregoing was the ...
Σελίδα 105
... Theorems , from which , the preceding Problems are deducible ; and juft mention two or three particular Properties , and then proceed to the Ele- ments of Geometry , from which ... THEOREM I The Rectangle , under any OF THE ELLIPSIS . 105.
... Theorems , from which , the preceding Problems are deducible ; and juft mention two or three particular Properties , and then proceed to the Ele- ments of Geometry , from which ... THEOREM I The Rectangle , under any OF THE ELLIPSIS . 105.
Σελίδα 121
... THEOREM II . 15. Euclid . Vertical or oppofite Angles , made by the Interfection of two Right Lines , are equal to one another . Let AB and CD interfect in E ; then , the Angles AEC , BED , are equal ; also , AED is eq , to CEB . - fame ...
... THEOREM II . 15. Euclid . Vertical or oppofite Angles , made by the Interfection of two Right Lines , are equal to one another . Let AB and CD interfect in E ; then , the Angles AEC , BED , are equal ; also , AED is eq , to CEB . - fame ...
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A Royal Road to Geometry: Or, an Easy and Familiar Introduction to the ... Thomas Malton Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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Δημοφιλή αποσπάσματα
Σελίδα 118 - When you have proved that the three angles of every triangle are equal to two right angles...
Σελίδα 215 - 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 279 - EG, let fall from a point in the circumference upon the diameter, is a mean proportional between the two segments of the diameter DS, EF (p.
Σελίδα 278 - 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 180 - From this it is manifest, that if one angle of a triangle be equal to the other two, it is a right angle, because the angle adjacent to it is equal to the same two; and when the adjacent angles are equal, they are right angles.
Σελίδα 242 - To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A : B : : C : D; and read, A is to B as C to D.
Σελίδα 155 - In any triangle, if a line be drawn from the vertex at right angles to the base; the difference of the squares of the sides is equal to the difference of the squares of the segments of the base.
Σελίδα 154 - In any isosceles triangle, the square of one of the equal sides is equal to the square of any straight line drawn from the vertex to the base plus the product of the segments of the base.
Σελίδα 244 - Ratios that are the same to the same ratio, are the same to one another. Let A be to B as C is to D ; and as C to D, so let E be to F.
Σελίδα 118 - Angles, taken together, is equal to Twice as many Right Angles, wanting four, as the Figure has Sides.