## Elements of Geometry and Trigonometry |

### From inside the book

Page 89

...

...

**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 105

...

...

**homologous**sides of the given figures . Find a square equivalent to the sum or to the difference of the squares described upon A and B ; let X be the side of that square ; then will X in the figure required , be the side which is**homologous**...Page 164

...

...

**homologous**sides . Cor . Whatever be the bases of similar prisms , the prisms will be to each other as the cubes of their**homologous**sides . For , since the prisms are similar , their bases will be similar polygons ( Def . 17. ) ; and ...### Contents

BOOK | 7 |

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

BOOK IV | 68 |

14 other sections not shown

### Other editions - View all

### 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