Elements of Geometry, Briefly, Yet Plainly Demonstrated by Edmund StoneD. Midwinter, 1728 |
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Σελίδα
... also adapted other Demon- ftrations to the Schemes of Prop . 29 , 30 . Lib . 11. and Prop . 17. Lib . 12. and have fo diftinguished the Schemes representing the Planes and Solids of the Eleventh and Twelfth Books , that a Learner's ...
... also adapted other Demon- ftrations to the Schemes of Prop . 29 , 30 . Lib . 11. and Prop . 17. Lib . 12. and have fo diftinguished the Schemes representing the Planes and Solids of the Eleventh and Twelfth Books , that a Learner's ...
Σελίδα 16
... also be equal . the one to the other : If the Sides are not equal , let either of them be the greater , as let BACA ; now make " BD = CA , and draw the Line CD . b In the Triangles DBC , ACB , because BD = CA , and the Side BC is common ...
... also be equal . the one to the other : If the Sides are not equal , let either of them be the greater , as let BACA ; now make " BD = CA , and draw the Line CD . b In the Triangles DBC , ACB , because BD = CA , and the Side BC is common ...
Σελίδα 18
... also mutually f equiangular . 2. Triangles mutually equilateral , are equal the one to the other . D i I. I. k conftr . 1 8. 1 . B F E C PROP . IX . To . bifect or divide a given right - lined Angle BAC , into two equal Parts . i - Take ...
... also mutually f equiangular . 2. Triangles mutually equilateral , are equal the one to the other . D i I. I. k conftr . 1 8. 1 . B F E C PROP . IX . To . bifect or divide a given right - lined Angle BAC , into two equal Parts . i - Take ...
Σελίδα 26
... also be greater than the Bafe ( bc ) of the other . a Make the Angle bag equal to A , and the Side agac , and join bg , cg . Cafe 1. When bg falls above bc , then because AB ab , and AC ag , and the Angle A a ; therefore isf BC = bg ...
... also be greater than the Bafe ( bc ) of the other . a Make the Angle bag equal to A , and the Side agac , and join bg , cg . Cafe 1. When bg falls above bc , then because AB ab , and AC ag , and the Angle A a ; therefore isf BC = bg ...
Σελίδα 30
... also parallel the one to the C D other . Let the Line GI cut the three given Lines any how ; then because AB , EF are parallel , the Angle c 29.1 . AGI will be EHI : alfo because CD and EF are parallel , the Angle EHI will be < = DIG ...
... also parallel the one to the C D other . Let the Line GI cut the three given Lines any how ; then because AB , EF are parallel , the Angle c 29.1 . AGI will be EHI : alfo because CD and EF are parallel , the Angle EHI will be < = DIG ...
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.