Mechanics Or the Doctrine of Motion
Mechanics Or the Doctrine of Motion
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XXI. Proh. To draw a great circle to cut two given great circles chd, ebf at given angles.
Rule, Find the poles s, r, of the two given circles, 50; by Prop. 16. About which draw two parallels phk, fnk, at the diftances refpeftively equal to the an- gles f^iven by Prop. 13. The point of interfed ion P, is the pole of the circle w^ required^ Cor. Hence^ to draw a right circle to^ make with an oblique cirde, abd, any given angle. Draw a parallel phk at a diftance from the pole of the ob- limie cir...cle^ equal to the given angle. Its interJe5iion c ■ /«^//^ 30 STEREOGRAPHIC PROJECTION Yig. F with the primitive^ gives the pole of the right circle get required.
PROP. XXII. Prok 'To lay any number of degrees on a great circle, or to meafure any arch of it.
Rule, og Let AFI be the primitive ; find the internal pole ' P of the given circle DEH (by Prop i6. ) lay the degrees on the primitive from A to F, and draw PA, PF, intercepting the part required DE. Or to meafure DE, draw PEF and PDA, and AF is its meafure, and applied to the line of chords (hows jiow many degrees it is.
What to read after Mechanics Or the Doctrine of Motion?
You can find similar books in the "Read Also" column, or choose other free books by William Emerson to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
XXI. Proh. To draw a great circle to cut two given great circles chd, ebf at given angles.
Rule, Find the poles s, r, of the two given circles, 50; by Prop. 16. About which draw two parallels phk, fnk, at the diftances refpeftively equal to the an- gles f^iven by Prop. 13. The point of interfed ion P, is the pole of the circle w^ required^ Cor. Hence^ to draw a right circle to^ make with an oblique cirde, abd, any given angle. Draw a parallel phk at a diftance from the pole of the ob- limie cir...cle^ equal to the given angle. Its interJe5iion c ■ /«^//^ 30 STEREOGRAPHIC PROJECTION Yig. F with the primitive^ gives the pole of the right circle get required.
PROP. XXII. Prok 'To lay any number of degrees on a great circle, or to meafure any arch of it.
Rule, og Let AFI be the primitive ; find the internal pole ' P of the given circle DEH (by Prop i6. ) lay the degrees on the primitive from A to F, and draw PA, PF, intercepting the part required DE. Or to meafure DE, draw PEF and PDA, and AF is its meafure, and applied to the line of chords (hows jiow many degrees it is.
What to read after Mechanics Or the Doctrine of Motion?
You can find similar books in the "Read Also" column, or choose other free books by William Emerson to read onlineMoreLess
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