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

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Page 10

Next , I will new how the Product arises , by m ; ltiplying Feet and

together ; commonly called Cross Multiplication . The measures of the two Sides

of the Rectangle , AB and AD , 8-6 , and 5-9 , being placed one under the other ( '

tis not ...

Next , I will new how the Product arises , by m ; ltiplying Feet and

**Inches**,together ; commonly called Cross Multiplication . The measures of the two Sides

of the Rectangle , AB and AD , 8-6 , and 5-9 , being placed one under the other ( '

tis not ...

Page 10

54 : Set down the 6

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 two

Feet ...

54 : Set down the 6

**Inches**, under**Inches**, and carry the two Feet forward to thewhole 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 two

Feet ...

Page 12

Next , I will few how the Product arises , by multiplying Feet and

; commonly called Cross Multiplication . The measures of the two Sides of the

Rectangle , AB and AD , 8 - 6 , and 5-9 , being placed one under the other ( ' tis

not ...

Next , I will few how the Product arises , by multiplying Feet and

**Inches**, together; commonly called Cross Multiplication . The measures of the two Sides of the

Rectangle , AB and AD , 8 - 6 , and 5-9 , being placed one under the other ( ' tis

not ...

Page 13

Thomas Malton. Set down the 6

forward to the whole Numbers , and say , 5 times 8 is 40 ; which being Fect both

ways , they consequently produce square Feet , and is the large Rectangle , AE .

Thomas Malton. Set down the 6

**Inches**, under**Inches**, and carry the two Feetforward to the whole Numbers , and say , 5 times 8 is 40 ; which being Fect both

ways , they consequently produce square Feet , and is the large Rectangle , AE .

Page 14

Multiplication , by Feet and

parts , which are called

parts , and so on to Seconds and Thirds ; each of which is a twelfth part of the ...

Multiplication , by Feet and

**Inches**, denotes the fraction of a Foot to be in twelfthparts , which are called

**Inches**; and these are again divided into twelve , calledparts , and so on to Seconds and Thirds ; each of which is a twelfth part of the ...

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### 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.