Elements of Geometry, Briefly, Yet Plainly Demonstrated by Edmund StoneD. Midwinter, 1728 |
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Αποτελέσματα 1 - 5 από τα 33.
Σελίδα 12
... Numbers in the Margin , the firft fhews the Propofition , the fecond the Book ; as by 4. 1. you are to under- ftand the fourth Propofition of the first Book : and fo of the reft . Moreover , ax . denotes Ax- iom , poft . Poftulate , def ...
... Numbers in the Margin , the firft fhews the Propofition , the fecond the Book ; as by 4. 1. you are to under- ftand the fourth Propofition of the first Book : and fo of the reft . Moreover , ax . denotes Ax- iom , poft . Poftulate , def ...
Σελίδα 43
... Number of Squares being given , to make one of them all . 12 X g 11. 1 . II . Let there be given three Squares , where- of the Sides are AB , BC , CE . Make the right Angle FBZ , hav- ing Sides of an indefi- nite Length , and in them ...
... Number of Squares being given , to make one of them all . 12 X g 11. 1 . II . Let there be given three Squares , where- of the Sides are AB , BC , CE . Make the right Angle FBZ , hav- ing Sides of an indefi- nite Length , and in them ...
Σελίδα 48
... number of Seg- ments AD , DE , EB ; the Rectangle compre- B bended under these two right Lines . AB and AF , is equal to the Rectangle " contain'd under the undivided Line AF , and all the Segments AD , DE , EB ; that is , ABX AF × ADAF ...
... number of Seg- ments AD , DE , EB ; the Rectangle compre- B bended under these two right Lines . AB and AF , is equal to the Rectangle " contain'd under the undivided Line AF , and all the Segments AD , DE , EB ; that is , ABX AF × ADAF ...
Σελίδα 56
... explain'd in Num- bers ; for no Number can be fo divided , that the Product of the Whole into one of the Parts hall be equal to the Square of the other Part . .PRO P. PROP . B XII . A If in an obtufe 56 EUCLID'S Elements .
... explain'd in Num- bers ; for no Number can be fo divided , that the Product of the Whole into one of the Parts hall be equal to the Square of the other Part . .PRO P. PROP . B XII . A If in an obtufe 56 EUCLID'S Elements .
Σελίδα 101
... Angle of an equilateral and equi- angular Pentagon is equal to of 2 right Angles , or of one . H 3 SCHOL . d £ 26.3 . 29. 3 • 27. 3 . 27.3 . $ 9.2.4 % . II . SCHOL . Univerfally all Figures of odd Numbers Book III . EUCLID's Elements .
... Angle of an equilateral and equi- angular Pentagon is equal to of 2 right Angles , or of one . H 3 SCHOL . d £ 26.3 . 29. 3 • 27. 3 . 27.3 . $ 9.2.4 % . II . SCHOL . Univerfally all Figures of odd Numbers Book III . EUCLID's Elements .
Συχνά εμφανιζόμενοι όροι και φράσεις
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Δημοφιλή αποσπάσματα
Σελίδα 31 - 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 145 - Equal triangles which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional : And triangles which have one angle in the one equal to one angle in the other, and their sides about the equal angles reciprocally proportional, are equal to one another.
Σελίδα 33 - ABD, is equal* to two right angles, «13. 1. therefore all the interior, together with all the exterior angles of the figure, are equal to twice as many right angles as there are sides of the figure; that is, by the foregoing corollary, they are equal to all the interior angles of the figure, together with four right angles; therefore all the exterior angles are equal to four right angles.
Σελίδα 27 - If two right-angled triangles have their hypotenuses equal, and one side of the one equal to one side of the other, the triangles are congruent.
Σελίδα 31 - The three angles of any triangle taken together are equal to the three angles of any other triangle taken together. From whence it follows, 2.
Σελίδα 11 - That a straight line may be drawn from any point to any other point. 2. That a straight line may be produced to any length in a straight line.