Elements of Geometry, Briefly, Yet Plainly Demonstrated by Edmund StoneD. Midwinter, 1728 |
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Σελίδα 5
... Circumference , and dividing the Circle in- to two equal Parts . 18. A Semi - circle is a Figure which is con- tained under the Diameter , and under that part of the Circumference which is cut off by the Diameter . In the Circle EABCD ...
... Circumference , and dividing the Circle in- to two equal Parts . 18. A Semi - circle is a Figure which is con- tained under the Diameter , and under that part of the Circumference which is cut off by the Diameter . In the Circle EABCD ...
Σελίδα 13
... Circumference thereof . Then is AGCB . g conft . For DG DE , and DA DC . Where- 3 ax . fore AGCE BC AG . Which was k 14x . i is def to be done . = g The Pofition of the Point A within or with- out the Line BC varies the Cafes , but the ...
... Circumference thereof . Then is AGCB . g conft . For DG DE , and DA DC . Where- 3 ax . fore AGCE BC AG . Which was k 14x . i is def to be done . = g The Pofition of the Point A within or with- out the Line BC varies the Cafes , but the ...
Σελίδα 44
... Circumference in E , and draw BE . Then fhalla BE ( BA ' ) = BC ' + CE ' . Whence " BA ' -BC - CE ' . QE . F с 47. 1 . B 47. I. PROB . C A 2 III . Any two Sides of a right- angled Triangle ABC being given ; to find the third Side . Let ...
... Circumference in E , and draw BE . Then fhalla BE ( BA ' ) = BC ' + CE ' . Whence " BA ' -BC - CE ' . QE . F с 47. 1 . B 47. I. PROB . C A 2 III . Any two Sides of a right- angled Triangle ABC being given ; to find the third Side . Let ...
Σελίδα 59
... Circumference in H. Then fhall CH ML = A. с For draw GH ; then is A " = DB = * DCF = HC ML . Q. E.D. - GF GC 2 C.45 . I. d conft . e 5.2 . & ax 3 . 47. 1. & Зах . End of the Second Book . ( 60 ) EUCLID's ELEMENTS . E BOOK III . Book II ...
... Circumference in H. Then fhall CH ML = A. с For draw GH ; then is A " = DB = * DCF = HC ML . Q. E.D. - GF GC 2 C.45 . I. d conft . e 5.2 . & ax 3 . 47. 1. & Зах . End of the Second Book . ( 60 ) EUCLID's ELEMENTS . E BOOK III . Book II ...
Σελίδα 62
... Circumference of the Circle ( ADC ) : then the Ang . ABC is faid to Stand upon that Circumference . A B 9. A Sector of a Circle ( ACB ) . is a Figure comprehended under the right Lines AC , BC drawn from the Center C , and the Cir ...
... Circumference of the Circle ( ADC ) : then the Ang . ABC is faid to Stand upon that Circumference . A B 9. A Sector of a Circle ( ACB ) . is a Figure comprehended under the right Lines AC , BC drawn from the Center C , and the Cir ...
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.