## Elements of Geometry and Trigonometry |

### From inside the book

Page 84

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**homologous**sides propor- tional , and are similar . Let ABC , CDE be two triangles which have their angles equal each to each , namely , BAC - CDE , ABC - DCE and ACB DEC ; then the**homologous**sides , or the sides adjacent to the equal ...Page 89

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**homologous**sides are proportional . But BD in the small tri- angle , and BA in the large one , are**homologous**sides , because they lie opposite the equal angles BAD , BCA ; the hypothe- nuse BA of the small triangle is**homologous**with ...Page 92

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**homologous**angle F , in the other polygon FGHIK , draw diagonals FH , FI to the other an- gles . H G T K E These polygons being similar , the angles ABC , FGH , which are**homologous**, must be equal , and the sides AB , BC , must also be ...### Contents

BOOK | 7 |

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

BOOK IV | 68 |

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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