### ‘ι κίμε οι ςώόστερ -”ΐμτανγ ξώιτιξόρ

Ρεμ εμτοπΏσαλε ξώιτιξίρ στιρ σθμόηειρ τοποηεσΏερ.

### –εώιεςϋλεμα

 ≈μϋτγτα 1 1 ≈μϋτγτα 2 26 ≈μϋτγτα 3 37 ≈μϋτγτα 4 42 ≈μϋτγτα 5 43 ≈μϋτγτα 6 87
 ≈μϋτγτα 7 114 ≈μϋτγτα 8 122 ≈μϋτγτα 9 ≈μϋτγτα 10 ≈μϋτγτα 11

### Ργλοωικό αποσπήσλατα

”εκΏδα 1 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, &c.
”εκΏδα 5 - Plane Triangle, As the Sum of any two Sides ; Is to their Difference ; So is the Tangent of half the Sum of the two opposite Angles ; To the Tangent of half the Difference between them.
”εκΏδα 3 - Canon, is a table showing the length of the sine, tangent, and secant, to every degree and minute of the quadrant, with respect to the radius, which is expressed by unity or 1, with any number of ciphers.
”εκΏδα 75 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
”εκΏδα 85 - ... projection is that of a meridian, or one parallel thereto, and the point of sight is assumed at an infinite distance on a line normal to the plane of projection and passing through the center of the sphere. A circle which is parallel to the plane of projection is projected into an equal circle, a circle perpendicular to the plane of projection is projected into a right line equal in length to the diameter of the projected circle; a circle in any other position is projected into an ellipse, whose...
”εκΏδα 31 - The cotangent of half the sum of the angles at the base, Is to the tangent of half their difference...
”εκΏδα 34 - The rectangle of the radius, and sine of the middle part, is equal to the rectangle of the tangents of the two EXTREMES CONJUNCT, and to that of the cosines of the two EXTREMES DISJUNCT.
”εκΏδα 13 - If the sine of the mean of three equidifferent arcs' dius being unity) be multiplied into twice the cosine of the common difference, and the sine of either extreme be deducted from the product, the remainder will be the sine of the other extreme. (B.) The sine of any arc above 60Α, is equal to the sine of another arc as much below 60Α, together with the sine of its excess above 60Α. Remark. From this latter proposition, the sines below 60Α being known, those...
”εκΏδα 34 - In a right angled spherical triangle, the rectangle under the radius and the sine of the middle part, is equal to the rectangle under the tangents of the adjacent parts ; or', to the rectangle under the cosines of the opposite parts.