## Elements of Geometry and Trigonometry |

### From inside the book

Results 1-3 of 88

Page 70

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**triangle**and the parallelogram have the same altitude , the vertex E of the**triangle**, will be in the line EC , par- allel to the base AB . Produce BA , and from E draw EF parallel to AD . The**triangle**FBE is half the parallelogram FC ...Page 194

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**triangle**. Let ABC be the given**triangle**, CED , DFC , the arcs described about A and B as poles ; then will the**triangle**ADB have all its parts equal to those of ABC . For , by construction , the side AD = AC , DB = BC , and AB is ...Page 210

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**triangle**ACB ABXDG = xx a = ах =**triangle**ADB BCX DE = xx b = bx**triangle**BCD ACX DF = xxc = cX =**triangle**ACD But the three last**triangles**make up , and are consequently equal to , the first ; hence , or x2 √3 = ax + bx + cx = x ( a + ...### 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