Subtendent

Lastly, if you put BC the lesser of the sides, including the right angle for Radius, the greater side, AC, including the right angle is the tangent of ABC, the greater acute angle opposite; and the subtendent A B, is the secant of the same acute angle.

The very Subtendent line is found of an odde part; but the very subtendent of an even part is not found at one operation, but onely the Square of the Subtendent; and the greater the number of parts be, so much harder it willbe to finde out the subtendent.

The first figure, Vale, hath but one mood, and therefore of as great extent as it selfe, which is Upalem; whose nature is to let us know, whan a plane right angled triangle is given us to resolve, whose subtendent and one of the obliques is proposed, and one of the ambients required, that we must have recourse unto its resolver, which being Rad_U_Sapy→Yr sheweth, that if we joyne the artificiall sine of the angle opposite to the die demanded with the Logarithm of the subtendent, the summe searched in the canon of absolute numbers will afford us the Logarithm of the side required.

For example, even if there were no possible quantity, mathematicians could say that if it was possible to make a right angled triangle, it was something assured that the hypotenuse or the subtendent of the right angle would make a square equal to the squares of the other two sides

Captain Herschel expresses doubts of this, but it is evident that as the cusps closed both must have been within the space subtendent by half the length of the slit.

Make subtendent lines to them, and cut away the arches; then erect plain Looking-glasses, that may be of the same latitude, and of the same parallel lines, and the same longitude; glew them fast together, and fit them lo, that they may not be pulled asunder, as they are joyned long-ways, and erected upon a plain superficies.

An outermost, “ballooning” membrane was seen to form dilated vesicles above the subtendent “armour” layer.

Secularism, with its subtendent isms, may now be considered to have approached the critical or turning' point in its career.