## Elements of Geometry and Trigonometry |

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Page 251

Wanting to know the distance between two inaccessible objects which lie in a direct line from the bottom of a tower of 120

Wanting to know the distance between two inaccessible objects which lie in a direct line from the bottom of a tower of 120

**feet**in height , the angles of depression are measured , and found to be , of the nearest , 57 ° ; of the most ... Page 274

Thus , when we say that a square yard contains 9 square

Thus , when we say that a square yard contains 9 square

**feet**, we should understand that one square foot is taken for the unit of measure , and that this unit is contained 9 times in the square yard . The most convenient unit of measure ... Page 275

To find the area of a triangle , whose base is 625 and altitude 520

To find the area of a triangle , whose base is 625 and altitude 520

**feet**. Ans . 162500 sq . ft . 2. To find the number of square yards in a triangle , whose base is 40 and altitude 30**feet**. Ans . 663 . a triangle , whose Ans . 68.7361 ... Page 276

What is the number of square yards in a triangle of which the sides are 25

What is the number of square yards in a triangle of which the sides are 25

**feet**and 21.25**feet**, and their included angle 45 ° ? Ans . 20.8694 . CASE III . When the three sides are known . RULE . - 1 . Add the three sides together ... Page 277

45 half - sum . 40 5 3d rem . Then , 45 x 25 x 15 × 5 = 84375 . The square root of which is 290.4737 , the required area . 2. How many square yards of plastering are there in a triangle whose sides are 30 , 40 , and 50

45 half - sum . 40 5 3d rem . Then , 45 x 25 x 15 × 5 = 84375 . The square root of which is 290.4737 , the required area . 2. How many square yards of plastering are there in a triangle whose sides are 30 , 40 , and 50

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ABCD adjacent altitude base become Book called centre chord circle circumference circumscribed common cone consequently contained Cosine Cotang cylinder described determine diameter difference distance divided draw drawn equal equations equivalent expressed extremities faces feet figure follows formed four frustum give given gles greater half hence homologous hypothenuse included inscribed intersection less let fall logarithm manner means measured meet middle multiplied number of sides opposite parallel parallelogram pass perpendicular plane polygon prism PROBLEM Prop proportional PROPOSITION pyramid quadrant quantities radii radius ratio reason rectangle regular remaining right angles Scholium segment sides similar Sine solid solid angle sphere spherical triangle square straight line suppose taken Tang tangent THEOREM third triangle triangle ABC unit vertex whole