## 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 |

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Resultat 1-5 av 50

Side 3

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

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 9

Therefore also the whole triangle ABC shall coincide with the whole triangle DEF

, so that the spaces which they contain or their areas are equal ; and the

, and ...

Therefore also the whole triangle ABC shall coincide with the whole triangle DEF

, so that the spaces which they contain or their areas are equal ; and the

**remaining**angles of the one shall coincide with the**remaining**angles of the other, and ...

Side 13

Ax . ) to the

therefore BE is not in the same straight line with BC . And in like manner , it may

be demonstrated , that no other can be in the same straight line with it but BD ...

Ax . ) to the

**remaining**angle ABD , the less to the greater , which is impossible ;therefore BE is not in the same straight line with BC . And in like manner , it may

be demonstrated , that no other can be in the same straight line with it but BD ...

Side 14

to the base CF , and the trianB D gle AEB to the triangle CEF , and the

angles to the

opposite ; wherefore the angle BAE is equal to the angle Ġ ECF ; but the angle

ECD is ...

to the base CF , and the trianB D gle AEB to the triangle CEF , and the

**remaining**angles to the

**remaining**angles each to each , to which the equal sides areopposite ; wherefore the angle BAE is equal to the angle Ġ ECF ; but the angle

ECD is ...

Side 20

to two right angles , the ' angles AGH , F BGH are equal to the angles BGH , GHD

: Take away the common angle BGH ; therefore the

equal to the

is ...

to two right angles , the ' angles AGH , F BGH are equal to the angles BGH , GHD

: Take away the common angle BGH ; therefore the

**remaining**angle AGH isequal to the

**remaining**angle GHD ; and they are alternate angles ; therefore ABis ...

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Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Uten tilgangsbegrensning - 1824 |

### 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