## Elements of Geometry and Trigonometry |

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Page 17

When two triangles have these three things equal , namely , the side ED = BA , the side DF - AC , and the angle D = A , the

When two triangles have these three things equal , namely , the side ED = BA , the side DF - AC , and the angle D = A , the

**remaining**three are also respectively equal , namely , the side EF = BC , the angle E = B , and the angle F = C ... Page 24

... each to each , the

... each to each , the

**remaining**parts will also be equal , each to each , and the triangles themselves will be equal . A In the two right angled triangles BAC , EDF , let the hypothenuse AC = DF , and the side BA = ED : then will the ... Page 33

If two opposite sides of a quadrilateral are equal and parallel , the

If two opposite sides of a quadrilateral are equal and parallel , the

**remaining**sides will also be equal and parallel , and the figure will be a parallelogram . Let ABCD be a quadrilateral , having the sides AB , CD , equal and parallel ... Page 37

If there be two sets of proportionals , having an antecedent and consequent of the first , equal to an antecedent and consequent of the second , the

If there be two sets of proportionals , having an antecedent and consequent of the first , equal to an antecedent and consequent of the second , the

**remaining**terms will be proportional . PROPOSITION V. THEOREM . Page 60

... at any point as E , make the angle DEC equal to one of the given angles , and the angle CEH equal to the other : the

... at any point as E , make the angle DEC equal to one of the given angles , and the angle CEH equal to the other : the

**remaining**angle HEF will be the third angle required ; be- D cause those three angles are PROBLEM VIII .### 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 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