## Elements of Geometry and Trigonometry |

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Page 6

Division of the Circumference , 207 General Ideas relating to the Trigonometrical Lines , 208 Theorems and

Division of the Circumference , 207 General Ideas relating to the Trigonometrical Lines , 208 Theorems and

**Formulas**relating to the Sines , Cosines , Tan- gents , & c . · 215 Construction and Description of the Tables , 223 Description ... Page 77

This proposition is equivalent to the algebraical .

This proposition is equivalent to the algebraical .

**formula**, ( a - 6 ) 2 = a2 2ab + b2 . PROPOSITION X. THEOREM . The rectangle contained by the sum and the difference of two lines , is equivalent to the difference of the squares of ... Page 207

We shall first explain the properties of those lines , and the principal

We shall first explain the properties of those lines , and the principal

**formulas**derived from them ;**formulas**which are of great use in all the branches of mathematics , and which even furnish means of improvement to algebraical ... Page 211

... from C towards B. Some notation must obviously be adopted to distinguish the one of such equal lines from the other ; and that they may both be expressed analytically , and in the same general

... from C towards B. Some notation must obviously be adopted to distinguish the one of such equal lines from the other ; and that they may both be expressed analytically , and in the same general

**formula**, it is necessary to consider ... Page 212

But this expression cannot be derived from the

But this expression cannot be derived from the

**formula**, B T S PA N N R E ver - sin AM - R - cos AM , unless we suppose the cosine AM to become negative as soon as the arc AM becomes greater than a quadrant .### What people are saying - Write a review

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### Common terms and phrases

ABCD adjacent altitude base become Book called centre chord circle circumference circumscribed common cone consequently construction contained corresponding cosine Cotang cylinder described diameter difference distance divided draw drawn equal equation equivalent evident expressed extremities fall figure follows formed formulas four frustum give given gles greater half hence homologous included inscribed intersection less likewise logarithm manner means measured meet middle multiplied opposite parallel parallelogram parallelopipedon pass perpendicular plane polygon prism PROBLEM Prop proportional PROPOSITION pyramid quantities radii radius ratio reason rectangle regular remaining right angles Scholium segment shown sides similar sine solid solid angle sphere spherical triangle square straight line Suppose surface taken tang tangent THEOREM third triangle triangle ABC vertex whole