Elements of Geometry, Briefly, Yet Plainly Demonstrated by Edmund StoneD. Midwinter, 1728 |
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Σελίδα 5
... Center of the Circle . -B E A C D 17. A Diameter of a Circle is a right Line drawn through the Center thereof , terminating both ways at the Circumference , and dividing the Circle in- to two equal Parts . 18. A Semi - circle is a ...
... Center of the Circle . -B E A C D 17. A Diameter of a Circle is a right Line drawn through the Center thereof , terminating both ways at the Circumference , and dividing the Circle in- to two equal Parts . 18. A Semi - circle is a ...
Σελίδα 12
... Centers A and B , with the com- mon distance AB or BA , describe two Circles cutting each other in the Point C ; from which draw two right Lines , CA , CB : then is AC = AB BC AC . Wherefore the Tri- angle ACB is an equilateral one ...
... Centers A and B , with the com- mon distance AB or BA , describe two Circles cutting each other in the Point C ; from which draw two right Lines , CA , CB : then is AC = AB BC AC . Wherefore the Tri- angle ACB is an equilateral one ...
Σελίδα 13
... Center C , with the Distance CB , defcribe the Circle CBE . Join AC , upon a 3 poft . which raise the equilateral Triangle ADC . poft . Produced DC to E , about the Center D , with the Distance DE , defcribe the Circle DEH , e 2 poft ...
... Center C , with the Distance CB , defcribe the Circle CBE . Join AC , upon a 3 poft . which raise the equilateral Triangle ADC . poft . Produced DC to E , about the Center D , with the Distance DE , defcribe the Circle DEH , e 2 poft ...
Σελίδα 20
... Center C defcribe a Circle cut- ting the given right Line AB in the Points E and F ; then b bifect EF in G , and draw the right Line CG , which will be the Perpendicular required . Draw the Lines CE , CF ; then the Triangles EGC , FGC ...
... Center C defcribe a Circle cut- ting the given right Line AB in the Points E and F ; then b bifect EF in G , and draw the right Line CG , which will be the Perpendicular required . Draw the Lines CE , CF ; then the Triangles EGC , FGC ...
Σελίδα 25
... Centers F and G , and the Di- ftances FD and GH , two Circles be barawn 3 post . cutting each other in K , and the right Lines KF , KG be join'd ; the Triangle FKG fhall be d made , whofe Sides FK , FG , GK are equal to c 15 def . the ...
... Centers F and G , and the Di- ftances FD and GH , two Circles be barawn 3 post . cutting each other in K , and the right Lines KF , KG be join'd ; the Triangle FKG fhall be d made , whofe Sides FK , FG , GK are equal to c 15 def . 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.