## Geometry for schools, comprising books i. and ii. of Euclid, with some additions and numerous exercises, by A.J.G. Barclay |

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Resultat 1-5 av 24

Side 18

And let A ABC

Join DG . :: EG is BA it ED ( given ) , and :: LEDG LEGD ( 1. 5 ) . Similarly FDG =

FGD . :: LEDF = L EGF ( Ax . 2 ) ; but · EGF is 2 A , = L EDF Again :: BA , AC = ED

...

And let A ABC

**take**the position of A GEF on the opposite side of EF to A DEF .Join DG . :: EG is BA it ED ( given ) , and :: LEDG LEGD ( 1. 5 ) . Similarly FDG =

FGD . :: LEDF = L EGF ( Ax . 2 ) ; but · EGF is 2 A , = L EDF Again :: BA , AC = ED

...

Side 19

Euclides Andrew J. G. BARCLAY. PROP . 9. PROB . To bisect a given angle .

Given < BAC . To bisect – BAС .

D ( Post . 3 ) . Join DE ; and on DE on the side remote from B A describe an equil

.

Euclides Andrew J. G. BARCLAY. PROP . 9. PROB . To bisect a given angle .

Given < BAC . To bisect – BAС .

**Take**any point D in AB and cut off in AC , AE ADD ( Post . 3 ) . Join DE ; and on DE on the side remote from B A describe an equil

.

Side 23

But ABC + [ ABD 2 L. s . ( hyp . ) ; :: LABC + L ABE = L ABC + L ABD ( Ax . 1 and

10 ) .

which is impossible . :: BE and BD must coincide , that is , BD is in the same st .

line ...

But ABC + [ ABD 2 L. s . ( hyp . ) ; :: LABC + L ABE = L ABC + L ABD ( Ax . 1 and

10 ) .

**Take**2 ABC from each , :: LABE = L ABD ( Ax . 3 ) , the less = the greater ,which is impossible . :: BE and BD must coincide , that is , BD is in the same st .

line ...

Side 22

Given three lines A , B , and C , any two of which are together I. > the third . II . To

make a A of which the sides shall be H equal to A , B , and C , each to each .

) .

Given three lines A , B , and C , any two of which are together I. > the third . II . To

make a A of which the sides shall be H equal to A , B , and C , each to each .

**Take**DE , a st . line of unlimited length . Cut off DF = A , FG = B , GH = C ( Post . 3) .

Side 23

At a given point in a given straight line , to make an angle equal to a given angle ,

i.e. , so that the given line shall be one of the arms of the angle . Gm X A Given

line AB with point A in it , and LC . To make at A in AB an angle = _ C.

...

At a given point in a given straight line , to make an angle equal to a given angle ,

i.e. , so that the given line shall be one of the arms of the angle . Gm X A Given

line AB with point A in it , and LC . To make at A in AB an angle = _ C.

**Take**D and...

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Geometry For Schools, Comprising Books I. And Ii. Of Euclid, With Some ... Euclides Ingen forhåndsvisning tilgjengelig - 2019 |

Geometry For Schools, Comprising Books I. And Ii. Of Euclid, With Some ... Euclides Ingen forhåndsvisning tilgjengelig - 2019 |

### Vanlige uttrykk og setninger

adjacent amount angles equal Atlas base bisect Book bound Carefully Revised centre circle Classes Coloured common cons construct contained describe diagonals difference distance divided draw Edinburgh Edition English equal Examination Exercises exterior angle fall figure four French Geography given line given point given straight line Grammar greater half History Illustrations interior intersecting isosceles triangle Junior late Lawson's less line joining lines drawn Maps Master meet middle points Modern Geography names Notes Oliver and Boyd's opposite sides Outlines parallel parallelogram perpendicular Physical Geography places position Post Price produced PROP proposition prove quadrilateral rect rectangle contained Reid's respect right angles right-angled triangle School Science showing square straight line Take THEOR third triangle twice vertex vertical whole

### Populære avsnitt

Side 15 - If two triangles have two sides of the one equal to two sides of the...

Side 73 - Household Economy. A MANUAL intended for Female Training Colleges, and the Senior Class of Girls' Schools. By MARGARET MARIA GORDON (Miss Brewster), Author of " Work, or Plenty to do and how to do it,

Side 84 - M'DowALL. 2s. Lectiones Selectae : or, Select Latin Lessons in Morality, History, and Biography : for the use of Beginners. With a Vocabulary explaining every Word in the Text. By C. MELVILLE, late of the Grammar School, Kirkcaldy. Is. 6d. Macgowan's Lessons in Latin Reading. In Two PARTS. Part I., Improved by H.

Side 12 - Notions 1. Things which are equal to the same thing are also equal to one another. 2. If equals be added to equals, the wholes are equal. 3. If equals be subtracted from equals, the remainders are equal. 4. Things which coincide with one another are equal to one another.

Side 75 - Watts' Catechism of Scripture History, and of the Condition of the Jews from the Close of the Old Testament to the Time of Christ. With INTRODUCTION by WK TWEEDIE, DD 2s.

Side 81 - Critical Remarks, in which the various Methods of Pronouncing employed by different Authors are investigated and compared with each other.

Side 13 - If a straight line meets two straight lines, so as to " make the two interior angles on the same side of it taken " together less than two right angles...

Side 73 - A DICTIONARY of the ENGLISH LANGUAGE, CONTAINING THE PRONUNCIATION, ETYMOLOGY, AND EXPLANATION OF ALL WORDS AUTHORIZED BY EMINENT WRITERS ; To which are added, a Vocabulary of the Roots of English Words, and an Accented Lat of Greek, Latin, and Scripture Proper Names.

Side 46 - THE angles at the base of an isosceles triangle are equal to one another : and, if the equal sides be produced, the angles upon the other side of the base shall be equal.

Side 74 - A carefully compiled history for the use of schools. The writer has consulted the more recent authorities: his opinions are liberal, and on the whole just and impartial : the succession of events is developed with clearness, and with more of that picturesque effect which so delights the young than is common in historical abstracts.