Elements of Geometry, Briefly, Yet Plainly Demonstrated by Edmund StoneD. Midwinter, 1728 |
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Αποτελέσματα 6 - 10 από τα 34.
Σελίδα 49
... Perpendicular AF , which make e- qual to AB ; and then fhail AFX AD + AF 1.2 . xDB AFX AB ; that is , ( becaufe AF - AB ) - ABXADAB × DB AB . QE . D. F H A PROP . III . G. If a right Line AB be any how divided in D , the Rectangle ...
... Perpendicular AF , which make e- qual to AB ; and then fhail AFX AD + AF 1.2 . xDB AFX AB ; that is , ( becaufe AF - AB ) - ABXADAB × DB AB . QE . D. F H A PROP . III . G. If a right Line AB be any how divided in D , the Rectangle ...
Σελίδα 50
... Perpendicular CF to the Line AB ; and thro ' G draw HI parallel to AB . C a d Because the Angle EHGA is a right one , and AEB half a right one ; therefore HE HG EFAC ; therefore HF is the 29 def.1 . Square of the right Line AC . In like ...
... Perpendicular CF to the Line AB ; and thro ' G draw HI parallel to AB . C a d Because the Angle EHGA is a right one , and AEB half a right one ; therefore HE HG EFAC ; therefore HF is the 29 def.1 . Square of the right Line AC . In like ...
Σελίδα 57
... Perpendicular AD falls , and the Line BD taken without between the Perpendicular AD and the obtufe Angle . That is , ACCB2 + 2CBD + AB2 . b For AC ( CD + ADCB + 2CBD 47. I. + BD2 + AD2 = ) a CB + 2CBD + AB . 4.2 . Q. E. D. SCHOLIU M. 2 ...
... Perpendicular AD falls , and the Line BD taken without between the Perpendicular AD and the obtufe Angle . That is , ACCB2 + 2CBD + AB2 . b For AC ( CD + ADCB + 2CBD 47. I. + BD2 + AD2 = ) a CB + 2CBD + AB . 4.2 . Q. E. D. SCHOLIU M. 2 ...
Σελίδα 58
... Perpendicular AD and the acute Angle ABC , as alfo the faid Perpendicular , may eafily be known . Let AB be 13 , AC 15 , BC 14 ; take away AB2 ( 169 ) from AC + BC , that is , from 225 + 196 = 421 ; and there remains 252 for 2BCD ...
... Perpendicular AD and the acute Angle ABC , as alfo the faid Perpendicular , may eafily be known . Let AB be 13 , AC 15 , BC 14 ; take away AB2 ( 169 ) from AC + BC , that is , from 225 + 196 = 421 ; and there remains 252 for 2BCD ...
Σελίδα 63
... Perpendicular DB , and bi- C fect the fame in F. Then the Point F fhall be the Cen❤ ter . If you deny it , let G , fome Point without the Line DB , be theCenter ( fince that cannot be divi- ded equally in any point but F ) and draw the ...
... Perpendicular DB , and bi- C fect the fame in F. Then the Point F fhall be the Cen❤ ter . If you deny it , let G , fome Point without the Line DB , be theCenter ( fince that cannot be divi- ded equally in any point but F ) and draw the ...
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.