## Elementary geometry |

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Resultat 1-5 av 47

Side 7

A straight line is such that any part will , however placed , lie wholly on any other

part , if its extremities are made to

or plane , is a surface in which any two points being taken the straight line that ...

A straight line is such that any part will , however placed , lie wholly on any other

part , if its extremities are made to

**fall**on that other part . Def . 6 . A plane surface ,or plane , is a surface in which any two points being taken the straight line that ...

Side 13

then because the lines DC , QS are ' straight , therefore the line BD would

along the line RQ ; ( Ax . 2 . ) therefore the angle DBC coincides with , and is

equal to , the angle QRS . ( Ax . 1 . ) But by Def . 14 , the angle ABC is half the

angle ...

then because the lines DC , QS are ' straight , therefore the line BD would

**fall**along the line RQ ; ( Ax . 2 . ) therefore the angle DBC coincides with , and is

equal to , the angle QRS . ( Ax . 1 . ) But by Def . 14 , the angle ABC is half the

angle ...

Side 21

therefore the point C would

Hyp . ) therefore the line BA would

C = the angle F , ( Hyp . ) therefore the line CA would

therefore the point C would

**fall**on F . And because the angle B = the angle E , (Hyp . ) therefore the line BA would

**fall**along the line ED . And because the angleC = the angle F , ( Hyp . ) therefore the line CA would

**fall**along the line FD ... Side 22

If the triangle were taken up and reversed and replaced , so that the point C fell

where B was , and the line CB along the line BC , then B would

And because the angle C = the angle B , ( Hyp . ) the line CA would lie along BA

...

If the triangle were taken up and reversed and replaced , so that the point C fell

where B was , and the line CB along the line BC , then B would

**fall**where C was .And because the angle C = the angle B , ( Hyp . ) the line CA would lie along BA

...

Side 27

therefore the point B will

greater than the angle EDF , the line AC will

BC will

EG in ...

therefore the point B will

**fall**on the point E ; and because the angle BAC isgreater than the angle EDF , the line AC will

**fall**outside DF , as DG ; ( Hyp . ) andBC will

**fall**as EG . Let DH be the bisector of the angle FDG , ( Ax . 4 . ) meetingEG in ...

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ABCD adjacent angle ABC angle APB angle BAC base bisect bisector Book called centre chord circle circumference coincide College common Constr construct converse Crown 8vo diagonals diameter difference distance divided double draw drawn Edition ELEMENTARY equal angles Euclid Examples exterior angle extremities fall figure Find follows four Geometry given angle given line given point given straight line greater half Hence Illustrations inscribed interior intersect isosceles triangle Join length less Let ABC line drawn locus magnitudes measure meet middle point minor arc opposite sides parallel parallelogram pass perpendicular placed polygon PROBLEM produced Professor Proof proportional quadrilateral radius ratio rectangle contained rectilineal figure regular required to prove respectively right angles School segment Shew sides similar Similarly square supplementary tangent THEOREM third touch triangle ABC unequal

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Side 183 - MORTE D'ARTHUR. Sir Thomas Malory's Book of King Arthur, and of his Noble Knights of the Round Table. The Edition of Caxton, revised for Modern Use. With an Introduction, Notes, and Glossary, by Sir EDWARD STRACHEY. *' It is with perfect confidence that we recommend this edition of the old romance to every class of readers.

Side 171 - TAYLOR— WORDS AND PLACES; or, Etymological Illustrations of History, Ethnology, and Geography. By the Rev ISAAC TAYLOR, MA Third and cheaper Edition, revised and compressed. With Maps. Globe 8vo. 6s.

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Side 159 - Flower (WH) — AN INTRODUCTION TO THE OSTEOLOGY OF THE MAMMALIA. Being the Substance of the Course of Lectures delivered at the Royal College of Surgeons of England in 1870.

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