## Elements of Geometry and Trigonometry |

### From inside the book

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Page 10

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**BAC**, or CAB , the letter at the vertex being always placed in the middle .**Angles**, like all other quantities , are susceptible of addition , subtraction , multiplication , and division . Thus the**angle**DCE is the sum of the two**angles**...Page 29

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**BAC**and DEF be the two**angles**, having AB parallel to ED , and AC to EF ; then will the**angles**be equal . A B E F G E F For , produce DE , if necessary , till it meets AC in G. Then , since EF is par- allel to GC , the**angle**...**angle**DGC is ...Page 56

... angle AED is measured by half of AFD + BC . PROPOSITION XX . THEOREM . The angle formed by two secants , is measured by half the diffe- rence of the arcs included between its sides . Let AB , AC , be two secants : then will the

... angle AED is measured by half of AFD + BC . PROPOSITION XX . THEOREM . The angle formed by two secants , is measured by half the diffe- rence of the arcs included between its sides . Let AB , AC , be two secants : then will the

**angle BAC**...### Contents

BOOK | 7 |

Problems relating to the First and Third Books 57 | 57 |

BOOK IV | 68 |

14 other sections not shown

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### Common terms and phrases

adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book VII centre chord circ circumference circumscribed common cone consequently convex surface cosine Cotang cylinder diagonal diameter dicular distance divided draw drawn equally distant equations equivalent feet figure find the area formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE PROBLEM Prop proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant segment similar sine slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line TABLE OF LOGARITHMIC tang tangent THEOREM triangle ABC triangular prism vertex