The gentlemans recreation in two parts : the first being an encyclopedy of the arts and sciences ... the second part treats of horsmanship, hawking, hunting, fowling, fishing, and agriculture : with a short treatise of cock-fighting ... : all which are collected from the most authentick authors, and the many gross errors therein corrected, with great enlargements ... : and for the better explanation thereof, great variety of useful sculptures, as nets, traps, engines, &c. are added for the taking of beasts, fowl and fish : not hitherto published by any : the whole illustrated with about an hundred ornamental and useful sculptures engraven in copper, relating to the several subjects.
Blome, Richard, d. 1705.

Of the Triangle. [ 60]

ALthough there be several sorts of Triangles, yet in respect they are all measured by one and the same Rule, one Example therefore shall serve, which take for a general Rule.

In all right-lin'd Triangles whatsoever, half the length of the Base being multiplyed by the length of the Perpendicular, shall be equal to the Area, or content of the Triangle: Or half the length of the Perpendicular being multiplyed in the length of the whole Base, shall be the content of the Triangle. Also if you multiply the whole Perpendicular by the whole Base, half the Pro∣duct shall be the content of the Triangle. For Exam∣ple, Suppose you were to find the Area of the Triangle S, R, Q, First from the Angle R, let fall the Perpendicular R, E, and let the length thereof be 24 Perches; Now if you multiply 12, the half of the Perpendicular by 44, the length of the whole Base, the Product will be 528, and that is the Area, or content of the Triangle. Or if you multiply 24 which is the length of the Perpendicular, by 22 the length of half the Base, the Product will be 528. Also if you multiply 44 the length of the Base by 24, the whole length of the Perpendicular, the Product will be 1056, the half of which is 528 the Area, or content of the Triangle.

[illustration]