## Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of Solids; to which are Added, Elements of Plane and Spherical Trigonometry |

### Inni boken

Resultat 1-5 av 42

Side 3

Subtraction is denoted by a single line ; as A - B , which is read A minus B ; A - B

represents their

has been taken away from it . In like manner , A - B + C , or A + C — B , signifies

that ...

Subtraction is denoted by a single line ; as A - B , which is read A minus B ; A - B

represents their

**difference**, or the part of A remaining ; when a part equal to Bhas been taken away from it . In like manner , A - B + C , or A + C — B , signifies

that ...

Side 43

To find the side of a square equivalent to the

Draw , as in the last problem , ( see the fig . ) the lines AC , AD , at right angles to

each other , making AC equal to the side of the less square ; then , from C as

centre ...

To find the side of a square equivalent to the

**difference**of two given squares .Draw , as in the last problem , ( see the fig . ) the lines AC , AD , at right angles to

each other , making AC equal to the side of the less square ; then , from C as

centre ...

Side 47

From this proposition it is manifest , that the

unequal lines , AC , CD , is equal to the rectangle contain“ ed by their sum and

proposition ...

From this proposition it is manifest , that the

**difference**of the squares of twounequal lines , AC , CD , is equal to the rectangle contain“ ed by their sum and

**difference**, or that AC2_CD2 = ( AC + CD ) ( ACCD ) . ” SCHOLIUM . In thisproposition ...

Side 49

Hence , the sum of the squares of any two lines is equal to “ twice the rectangle

contained by the lines together with the square of " the

Cor . SCHOLIUM . . In this proposition , let AB be denoted by a , and the

segments ...

Hence , the sum of the squares of any two lines is equal to “ twice the rectangle

contained by the lines together with the square of " the

**difference**of the lines . "Cor . SCHOLIUM . . In this proposition , let AB be denoted by a , and the

segments ...

Side 50

Hence , because AD is the sum , and AC the

four times the rectangle contained by any two “ lines , together with the square of

their

Hence , because AD is the sum , and AC the

**difference**of “ the lines AB and BC ,four times the rectangle contained by any two “ lines , together with the square of

their

**difference**, is equal to the square “ of the sum of the lines . " “ Cor . 2.### Hva folk mener - Skriv en omtale

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Elements of Geometry: Containing the First Six Books of Euclid with a ... John Playfair Uten tilgangsbegrensning - 1855 |

Elements of Geometry: Containing the First Six Books of Euclid, with a ... Euclid,John Playfair Uten tilgangsbegrensning - 1853 |

Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Uten tilgangsbegrensning - 1847 |

### Vanlige uttrykk og setninger

ABCD altitude angle ABC angle BAC base bisected Book called centre chord circle circumference coincide common consequently construction cosine cylinder definition demonstrated described diameter difference distance divided double draw drawn equal equal angles equiangular equilateral Euclid exterior angle extremities fall fore four fourth given given straight line greater half Hence inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism Prob produced PROP proportional proposition proved radius ratio reason rectangle contained rectilineal figure remaining right angles segment shewn sides similar sine solid square straight line taken tangent THEOR third touch triangle ABC wherefore whole