Elements of Geometry, Briefly, Yet Plainly Demonstrated by Edmund StoneD. Midwinter, 1728 |
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Αποτελέσματα 1 - 5 από τα 34.
Σελίδα 4
... each of thofe equal Angles is call'd a Right Angle ; B and the right Line CG thus ftanding , is called a Perpendicular to the Line AB , upon which it ftands . 11. An B. A V D 11. An Obtufe An- gle is 4 EUCLID'S Elements .
... each of thofe equal Angles is call'd a Right Angle ; B and the right Line CG thus ftanding , is called a Perpendicular to the Line AB , upon which it ftands . 11. An B. A V D 11. An Obtufe An- gle is 4 EUCLID'S Elements .
Σελίδα 19
... Perpendicular required . a I. I. c conftr . d 4.1 . e 3.1 . f I. I. For CECD , and CF is common , and DF = EF ( by Conft . ) whence the Triangles DFC , EFC are mutually equilateral ; therefore & the SS . 1 . Angle DCF = ECF ; whence FC ...
... Perpendicular required . a I. I. c conftr . d 4.1 . e 3.1 . f I. I. For CECD , and CF is common , and DF = EF ( by Conft . ) whence the Triangles DFC , EFC are mutually equilateral ; therefore & the SS . 1 . Angle DCF = ECF ; whence FC ...
Σελίδα 20
... Perpendicular required . Draw the Lines CE , CF ; then the Triangles EGC , FGC are mutually equilateral : There- fore the Angles EGC , FGC are equal , and by e 10 def . confequence right ones : wherefore GC is a Perpendicular . QE.F d 8 ...
... Perpendicular required . Draw the Lines CE , CF ; then the Triangles EGC , FGC are mutually equilateral : There- fore the Angles EGC , FGC are equal , and by e 10 def . confequence right ones : wherefore GC is a Perpendicular . QE.F d 8 ...
Σελίδα 23
... perpendicular Line AD let fall from any Point ( A ) thereof to that other Line CD , will fall next to the acute Angle AED . For if AC drawn towards the obtufe Angle be faid to be a Perpendicular ; then in the Tri- angle AEC , the Angle ...
... perpendicular Line AD let fall from any Point ( A ) thereof to that other Line CD , will fall next to the acute Angle AED . For if AC drawn towards the obtufe Angle be faid to be a Perpendicular ; then in the Tri- angle AEC , the Angle ...
Σελίδα 48
... perpendicular to AB , and through F draw the infinite Line FG perpendicular to AF ; and from D , E , B raife the Perpendicu- lars DH , EI , BG . Now AG fhall be the Rec- 19 ax . 1. tangle under AF , AB ; and it is equal to the ...
... perpendicular to AB , and through F draw the infinite Line FG perpendicular to AF ; and from D , E , B raife the Perpendicu- lars DH , EI , BG . Now AG fhall be the Rec- 19 ax . 1. tangle under AF , AB ; and it is equal to 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.