## Elementary geometry |

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Resultat 1-5 av 15

Side 204

Let S be a fourth

S , ( Th . 8 . ) and P : Q : : S : R . ( Th . 3 . ) Hence A : B : : P : S and B : C : : S : R ,

therefore A : C : : P : R . Def . 9 . If there are any number of 204 ELEMENTARY ...

Let S be a fourth

**proportional**to Q , R , P , then Q : R : : P : S , therefore Q : P : : R :S , ( Th . 8 . ) and P : Q : : S : R . ( Th . 3 . ) Hence A : B : : P : S and B : C : : S : R ,

therefore A : C : : P : R . Def . 9 . If there are any number of 204 ELEMENTARY ...

Side 215

The equality of the ratios is denoted by the symbol : : ; and the proportion thus , A

: B : : P : Q , which is read A is to B as P is to Q . A and Q are called the extremes ,

B and P the means , and Q is said to be the fourth

The equality of the ratios is denoted by the symbol : : ; and the proportion thus , A

: B : : P : Q , which is read A is to B as P is to Q . A and Q are called the extremes ,

B and P the means , and Q is said to be the fourth

**proportional**to A , B and P ... Side 216

If A , B , C are three magnitudes of the same kind such that A : B : : B : C , B is said

to be the mean

and B . Def . 7 . If there are two ratios A : B , P : Q , and C be taken such that B : C

...

If A , B , C are three magnitudes of the same kind such that A : B : : B : C , B is said

to be the mean

**proportional**between A and C , and C the third**proportional**to Aand B . Def . 7 . If there are two ratios A : B , P : Q , and C be taken such that B : C

...

Side 223

SECTION I . SIMILAR FIGURES . Def . 1 . Similar rectilineal figures are those

which have their angles equal , and the sides about the equal angles

given straight lines ...

SECTION I . SIMILAR FIGURES . Def . 1 . Similar rectilineal figures are those

which have their angles equal , and the sides about the equal angles

**proportional**. Def . 2 . Similar figures are said to be similarly described upongiven straight lines ...

Side 227

If two triangles have one angle of the one equal to one angle of the other , and

the sides about one other angle in each

the equal angles are homologous , the triangles have their third angles either ...

If two triangles have one angle of the one equal to one angle of the other , and

the sides about one other angle in each

**proportional**, so that the sides oppositethe equal angles are homologous , the triangles have their third angles either ...

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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.

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