Elements of Geometry, Briefly, Yet Plainly Demonstrated by Edmund StoneD. Midwinter, 1728 |
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Σελίδα 4
... contain or form an Angle are right ones , that Angle is called a Right - lined Angle . 10. When a right G Line CG , ftanding upon a right Line AB , makes the Angles CGA , CGB , on each fide equal to one another , each of thofe equal ...
... contain or form an Angle are right ones , that Angle is called a Right - lined Angle . 10. When a right G Line CG , ftanding upon a right Line AB , makes the Angles CGA , CGB , on each fide equal to one another , each of thofe equal ...
Σελίδα 5
... contained under one or more Terms or Bounds . 15. A Circle is a plane Figure contained under one Line , which is called the Circumference ; to which all Lines that fall from a certain Point within the Figure , are equal to one another ...
... contained under one or more Terms or Bounds . 15. A Circle is a plane Figure contained under one Line , which is called the Circumference ; to which all Lines that fall from a certain Point within the Figure , are equal to one another ...
Σελίδα 6
Euclid. 22. Multilateral or many - fided Figures , are fuch as are contained under more right Lines than four . A B A 23. Of Trilateral Figures , an Equilateral Triangle , is that which hath three equal Sides ; as the Triangle A. 24. An ...
Euclid. 22. Multilateral or many - fided Figures , are fuch as are contained under more right Lines than four . A B A 23. Of Trilateral Figures , an Equilateral Triangle , is that which hath three equal Sides ; as the Triangle A. 24. An ...
Σελίδα 11
... contain a Space . 15. If to equal things you add unequal things , the excess of the wholes fhall be equal to the excefs of the unequal things before the Addi- tion . As if AB , and CD : then shall A + C - B - D = C - D . 16. If to ...
... contain a Space . 15. If to equal things you add unequal things , the excess of the wholes fhall be equal to the excefs of the unequal things before the Addi- tion . As if AB , and CD : then shall A + C - B - D = C - D . 16. If to ...
Σελίδα 14
... e- qual to one Angle ( a ) , contained under the equal right Lines : they fhall have the Base ( BC ) equal to the Bafe ( bc ) , and the Triangle ( BAC ) shall be e- ДД B qua qual to the Triangle ( bac ) ;, and the 14 EUCLID'S Elements .
... e- qual to one Angle ( a ) , contained under the equal right Lines : they fhall have the Base ( BC ) equal to the Bafe ( bc ) , and the Triangle ( BAC ) shall be e- ДД B qua qual to the Triangle ( bac ) ;, and the 14 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.