## A Royal Road to Geometry: Or, an Easy and Familiar Introduction to the Mathematics. ... By Thomas Malton. ... |

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Page 48

To make a Parallelogram , under any given Angle , equal to a

having the same Base . B E Е Pr.4 O A ABCD is the given

Angle DAE equal to the given Angle , cuting BC in E , by Produce BC ; and draw

...

To make a Parallelogram , under any given Angle , equal to a

**Rectangle**, andhaving the same Base . B E Е Pr.4 O A ABCD is the given

**Rectangle**. F Make theAngle DAE equal to the given Angle , cuting BC in E , by Produce BC ; and draw

...

Page 68

For , compleat the

AC and CI are Complements of the Par . ' AEIG . Def . 38 . But , the Comp . in

every ...

For , compleat the

**Rectangle**AEIG . Produce BC to K , and DC to L. DEM . The**Rectangle**CI , is under BE ( equal Y ) and DG , the fourth Proportional required .AC and CI are Complements of the Par . ' AEIG . Def . 38 . But , the Comp . in

every ...

Page 5

Consequently , if DHF be taken away , and its equal , AGE , be added , the

in BC produced ) Then , the Parallelogram AIKD is equal to the Rect . ABCD . For

, the ...

Consequently , if DHF be taken away , and its equal , AGE , be added , the

**Rectangle**AGHD is equal to AEFD . Again , if AE be produced to I , and DF to K (in BC produced ) Then , the Parallelogram AIKD is equal to the Rect . ABCD . For

, the ...

Page 10

54 : Set down the 6 Inches , under Inches , and carry the two Feet forward to the

whole Numbers , and say , 5 times 8 is 40 ; which being Feet both ways , they

consequently produce square Feet , and is the large

Feet ...

54 : Set down the 6 Inches , under Inches , and carry the two Feet forward to the

whole Numbers , and say , 5 times 8 is 40 ; which being Feet both ways , they

consequently produce square Feet , and is the large

**Rectangle**, AE . The twoFeet ...

Page 13

The two Feet , arising from the

, set down under the Feet . Next , take the Inches , in the multiplier , and say , 9

times 6 is 54 . Now , these are Inches both ways ( the small

The two Feet , arising from the

**Rectangle**BE , bing added , make 42 Feet ; which, set down under the Feet . Next , take the Inches , in the multiplier , and say , 9

times 6 is 54 . Now , these are Inches both ways ( the small

**Rectangle**EC ) and ...### What people are saying - Write a review

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A Royal Road to Geometry: Or, an Easy and Familiar Introduction to the ... Thomas Malton No preview available - 2016 |

### Common terms and phrases

ABCD added alſo Altitudes analogous Area Baſe becauſe biſected Book called Center Chord Circle Circumference common Cone conf conſequently Conſtruction contained cuting Cylinder Demonſtration deſcribe Diagonal Diameter difference divided draw drawn equal Euclid evident extreme fame Feet Figure firſt formed four fourth given given Line greater half Hence Inches inſcribed join laſt leſs manner mean meaſure multiplied muſt oppoſite parallel Parallelogram Parallelopiped Pentagon perpendicular Plane Point Poligon Priſm Prob PROBLEM produced Proportion Propoſition proved Pyramid Quantities Radius Ratio Rect Rectangle reſpectively Right Angles Right Line ſame ſame Ratio ſay ſeeing Segment Sides ſimilar Solid ſome Sphere Square ſuch Surface taken Terms THEOREM third thoſe touch Triangle uſe wherefore whole whoſe

### Popular passages

Page 124 - When you have proved that the three angles of every triangle are equal to two right angles...

Page 221 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.

Page 285 - EG, let fall from a point in the circumference upon the diameter, is a mean proportional between the two segments of the diameter DS, EF (p.

Page 284 - IN a right-angled triangle, if a perpendicular be drawn from the right angle to the base, the triangles on each side of it are similar to the whole triangle, and to one another.

Page 186 - From this it is manifest, that if one angle of a triangle be equal to the other two, it is a right angle, because the angle adjacent to it is equal to the same two; and when the adjacent angles are equal, they are right angles.

Page 248 - To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A : B : : C : D; and read, A is to B as C to D.

Page 161 - In any triangle, if a line be drawn from the vertex at right angles to the base; the difference of the squares of the sides is equal to the difference of the squares of the segments of the base.

Page 160 - In any isosceles triangle, the square of one of the equal sides is equal to the square of any straight line drawn from the vertex to the base plus the product of the segments of the base.

Page 250 - Ratios that are the same to the same ratio, are the same to one another. Let A be to B as C is to D ; and as C to D, so let E be to F.

Page 124 - Angles, taken together, is equal to Twice as many Right Angles, wanting four, as the Figure has Sides.