Volume 1

The young trigonometer's compleat guide. Being the mystery and rationale of plane trigonometry made clear and easy / [Benjamin Martin].

  • Benjamin Martin
Date:
1736
Catalogue details

Licence: Public Domain Mark

Credit: The young trigonometer's compleat guide. Being the mystery and rationale of plane trigonometry made clear and easy / [Benjamin Martin]. Source: Wellcome Collection.

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    VII. To reduce a Multangular Figure to a Triangle of equal Area or fuperficial Content. Page 288 VIII. To find the Area ofi a Yield in AcreRoods, and Perches ; and how the Doctrine of this Chapter may be applied to the finding the Area or fuperficial Con¬ tent of any Right-lined Figures in any other Me a- fires. 2 89 , Chap. VIII. Plain Trigonometry applied to Altimetry and Longimetry ; floewing in Altimetry, 29 r I. How tomeafure the Altitudes of Ob]eCts accejfible. 292 II. To meafure the Altitudes of Objects inaccejfible. 293 III. To meafure the Altitudes of Objectsfituated aloft, as on a Hi If &c. 294 IV. To take the Altitude of the Sun by the Shadow of a Staff. 296 V. To meafure the Height of an Object by the Length of its Shadow in Longimetry. 297 1. To meafure the Difiance of any remote Object at two Stations. 298 2. To take the Difiance between two, three, or more remote Objects; as Ships at Sea, Towers in a City, 8cc. 299 3. Being on the Top o f a Houfe, Tower, 8zc. to mea¬ fure the Difiances and Altitudes of remote Objects on the Horizon. 30 r tfChap. IX. Plain Trigonometry applied to Optics, in its two Branches of Catoptrics and Dioptrics; containing, 303 I. Sir Ifaac Newton'* Definitions and Axioms of this Science. 304 II. To exhibit the reflected Rays of Light from any Plain Surface ; and theruifeble tlace of the Object poq III. To exhibit the Rays of Light reflected from fpheri- cal Surfaces either Convex or Concave ; and the ap¬ parent orvifible Place of the Object. 308 IV. The Angle of Incidence being given, to find the Angle of Refraction in IVater or Glafi. 309 V. The Angle of Incidence being given, to trace the refracted Ray thro1' the contiguous Mediums of IVa¬ ter, Glafs, and Air. 310 VI. A Theorem of Catoptrics demonftrated. Idem VII. Tq find the Difference between the apparent and b 2 trm
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