## The Elements of geometry [Euclid book 1-3] in general terms, with notes &c. &c. Also a variety of problems & theorems. [Ed. by J. Luby. With] The elements of plane geometry, comprising the definitions of the fifth book, and the sixth book in general terms, with notes [&c.] by J. Luby [described as] Pt. 3 |

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Resultat 1-5 av 5

Side 27

Conterminous means having a

for shewing the equality of triangles is when they have two sides respectively =

and the contained angles supplemental . 15th . When two triangles have two ...

Conterminous means having a

**common**point of termination . 11tb . Another wayfor shewing the equality of triangles is when they have two sides respectively =

and the contained angles supplemental . 15th . When two triangles have two ...

Side 57

Because DE is = to DF and DB

angles EDB , FDB of the same affection , the angle EBD is = to FBD , for the same

reason the angles FCD , GCD are = and also GAD and EAD . Therefore , if you ...

Because DE is = to DF and DB

**common**, and the angle DEB = to DFB , and theangles EDB , FDB of the same affection , the angle EBD is = to FBD , for the same

reason the angles FCD , GCD are = and also GAD and EAD . Therefore , if you ...

Side 198

BD x DE + EH ? add the

EG ? = BD X DE + EC2 ) = BD XDE + PE X EC ; take away the

PEC then AP X PC or BP X PF + FH ? = the rectangle BDE . PROP . 10 ) . PROB .

BD x DE + EH ? add the

**common**square GH and AEX EC + GH ? = BD * DE +EG ? = BD X DE + EC2 ) = BD XDE + PE X EC ; take away the

**common**rectanglePEC then AP X PC or BP X PF + FH ? = the rectangle BDE . PROP . 10 ) . PROB .

Side 2

... one an inch , and the other nine : inches long have , for 3 is the same

submultiple of 27 that I * Commensurable magnitudes are such as have some

one inagnitude that measures them both , this is called their

thus 12 and ...

... one an inch , and the other nine : inches long have , for 3 is the same

submultiple of 27 that I * Commensurable magnitudes are such as have some

one inagnitude that measures them both , this is called their

**common**measure ;thus 12 and ...

Side 36

If similar and similarly posited parallelograms have a

about the same diagonal . If possible let them not be about the same diagonal ;

then the diagonal of the greater parallelogram will cut a side of the less , not at

the ...

If similar and similarly posited parallelograms have a

**common**angle , they areabout the same diagonal . If possible let them not be about the same diagonal ;

then the diagonal of the greater parallelogram will cut a side of the less , not at

the ...

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The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ... Euclides Uten tilgangsbegrensning - 1833 |

### Vanlige uttrykk og setninger

absurd adjacent ANALYSIS arches assumed base centre chord circle circumference common construct describe diagonal diameter difference divided double draw draw a line equal evident external extremity figure formed four fourth given angle given circle given in position given line given point given right line greater half hypothenuse inscribed intercept internal intersect isosceles join less lesser line drawn lines be drawn magnitude mean meet Note O’rs opposite side parallel parallelogram pass perpendicular point of bisection point of contact PROB produced PROP proportional proposition proved radii radius reason rect rectangle remaining required triangle respectively right angled triangle right angles right line segment semicircle side similar square stand subtending Suppose taken tangent THEOR third touch triangle unequal vertex whole line

### Populære avsnitt

Side 130 - The angle at the centre of a circle is double the angle at the circumference on the same arc.

Side 28 - IF three straight lines be proportionals, the rectangle contained by the extremes is equal to the square of the mean ; and if the rectangle contained by the extremes be equal to the square of the mean, the three straight lines are proportionals.

Side 113 - In any triangle, the square of the side subtending an acute angle is less than the sum of the squares of the...

Side 6 - A straight line is said to be cut in extreme and mean ratio, when the whole is to the greater segment as the greater segment is to the less.

Side 98 - If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.

Side 4 - Convertendo ; when it is .concluded, that if there be four magnitudes proportional, the first is to the sum or difference of the first and second, as the third is to the sum or difference of the third and fourth.

Side 20 - DE : but equal triangles on the same base and on the same side of it, are between the same parallels ; (i.

Side 118 - If any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle.

Side 158 - The sum of the squares of the sides of any quadrilateral is equal to the sum of the squares of the diagonals plus four times the square of the line joining the middle points of the diagonals.

Side 30 - Similar triangles are to one another in the duplicate ratio of their homologous sides.