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

### From inside the book

Results 1-5 of 5

Page 19

In respect of the 26th ( the 29th of this ) cannot

, as Scalene Triangle is a general Term , including all that are neither Equilateral

nor Ifosceles , I cannot think it redundant , The 29th , of which he

In respect of the 26th ( the 29th of this ) cannot

**say**it is essentially necessary ; yet, as Scalene Triangle is a general Term , including all that are neither Equilateral

nor Ifosceles , I cannot think it redundant , The 29th , of which he

**says**nothing ... Page 182

I I

EF and EG perpendicular to AB and CD ; and join AE , EB , EC , and ED . 7. 1 . 9.

I. Dem . Now , AB is equal to CD , by the Hypothesis . and AE , EB , EC , and ED ...

I I

**say**, they are equally distant from the Center , E. · From E , the Center , drawEF and EG perpendicular to AB and CD ; and join AE , EB , EC , and ED . 7. 1 . 9.

I. Dem . Now , AB is equal to CD , by the Hypothesis . and AE , EB , EC , and ED ...

Page 241

Definition ,

Proportion be the fame , ( as the Doctor affirms ... calls Proportion Analogy , and

Analogy , or ...

Definition ,

**say**, “ Proportion is a fimilitude of Ratios , " which , if Ratio andProportion be the fame , ( as the Doctor affirms ... calls Proportion Analogy , and

**says**, “ Analogy is a liniilitude oi Proportions ; and Professor Simfon**says**, “Analogy , or ...

Page 349

F U I

Dem . If AB ( being in the fame Plane , ABFG , with D , E ) be not parallel to D Е ,

they will meet , if produced , towards one extreme on the other . But , AB is in the

...

F U I

**say**, the Sections , AB and D E , are parallel to one another , ! Def . 7.1 .Dem . If AB ( being in the fame Plane , ABFG , with D , E ) be not parallel to D Е ,

they will meet , if produced , towards one extreme on the other . But , AB is in the

...

Page 13

Thomas Malton. Set down the 6 Inches , under Inches , and carry the two Feet

forward to the whole Numbers , and

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 Feet

forward to the whole Numbers , and

**say**, 5 times 8 is 40 ; which being Fect bothways , they consequently produce square Feet , and is the large Rectangle , AE .

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Other editions - View all

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.