...th Prof, together with the i4th and i9th. Ninthly, there is need of the fame Corredrions to equate the Inclination of the Moon's Orbit to the Plane of the Ecliptic : For it is ( by Prof, i j.) leaft when the Nodes are in the Quadratures with the Sun, and greateft...

...that which diminifhes it. While the Nodes therefore are paffing from the Quadratures to the Syzygies, the Inclination of the Moon's Orbit to the Plane of the Ecliptic is continually increafing. Which is what remained to be made out. AH thele Irregularities are greater...

...both in refpetl of its Figure and Situation ; of which we fliall treat more largely in another Place. The Inclination of the Moon's Orbit to the Plane of the Ecliptic is alfo variable, from 5 Degrees to 5° 1 8'. The Line of Nodes*likewife has a variable Motion from...

...will be inclined to the Earth's Equator by only the Difference of 13° j and 5°J ss iS-J. Therefore the Inclination of the Moon's Orbit to the Plane of the Ecliptic, increafes, in- about 9 Yean, from to 18* ; and decreafcs from 28°^ to iS-j in a,bout 9 Years, more...

...Reafon why the Sun is not eclipfed every New-Moon, and the Moon every Time (he is full, is becaufe of the Inclination of the Moon's Orbit to the Plane of the Ecliptic -t fo that an Eclipfe can never happen, but when the Moon is either at or near one of the Nodes. If...

...motion of the nodes. Draw PH perp. to TN, and draw pHg to cut Tm in g, and draw Pg. Then the angle PHp will be the inclination of the moon's orbit, to the plane of the ecliptic when the moon is at P, and Pgp is the inclination after an hour-, therefore HPg is the horary variation of inclination....

...•when it is placed on your own Face, to cclipfe fome of the natural Beauty thereof. In the next Place, the Inclination of the Moon's Orbit to the Plane of the Ecliptic, is at all Times known ; and therefore the Latitude of the Moon, or its perpendicular Diftance from...

...thefe to be to the lad in the conftant ratio of 25 to 2, or nearly as the radius to the tangent of the inclination of the moon's orbit to the plane of the ecliptic. We have here, therefore, the application of another geometrical theorem, and that too proceeding on...

...ratio. What is the nature of the curve ? 10. For any position of the line of the nodes, construct for the inclination of the Moon's orbit to the plane of the ecliptic. (Newton, Vol. III. Prop, xxxv.) 11. ABCD is a section of a four-sided glass prism perpendicular to...

...ordinate, prove that the abscissa will cut the curve in a finite angle. 4. The place of the node and the inclination of the moon's orbit to the plane of the ecliptic being given ; find the place of the moon when her declination is the greatest possible. 5. Find the...