A Royal Road to Geometry: Or, an Easy and Familiar Introduction to the Mathematics. ... By Thomas Malton. ... |
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Page 58
To divide a Trapezium into two equal Parts , by a Right Line , drawn from a Point
given in any Side . ABCD is the Trapezium given , and E the given Poiat . 3 В.
Through the Angle B , draw BF , parallel to AD . - 5 . Bisect A D and BF , in G and
H ...
To divide a Trapezium into two equal Parts , by a Right Line , drawn from a Point
given in any Side . ABCD is the Trapezium given , and E the given Poiat . 3 В.
Through the Angle B , draw BF , parallel to AD . - 5 . Bisect A D and BF , in G and
H ...
Page 103
PROBLEM V , To draw a Tangent to an Ellipsis at any Point given ; in the
Periphery . C IF B If the Tangent was required at either ... Let D be the given Point
, through which a Tangent is required to be drawn . JI K Find E and F , the Foci of
the ...
PROBLEM V , To draw a Tangent to an Ellipsis at any Point given ; in the
Periphery . C IF B If the Tangent was required at either ... Let D be the given Point
, through which a Tangent is required to be drawn . JI K Find E and F , the Foci of
the ...
Page 185
If any Point , except the Center , be taken within a Circle , and , from that point ,
divers Right Lines be drawn to the Circumference ; the greatest of those Lines is
that which passes through the Center ; and , the least is the remainder of that
Line ...
If any Point , except the Center , be taken within a Circle , and , from that point ,
divers Right Lines be drawn to the Circumference ; the greatest of those Lines is
that which passes through the Center ; and , the least is the remainder of that
Line ...
Page 186
No more than two equal Lines can be drawn , from the Point A , to the
Circumference . 02 For , fince AF is proved less than AD , and AB greater , every
Line which can be drawn , from A , between D and F , will be less than AD , and
between B ...
No more than two equal Lines can be drawn , from the Point A , to the
Circumference . 02 For , fince AF is proved less than AD , and AB greater , every
Line which can be drawn , from A , between D and F , will be less than AD , and
between B ...
Page 188
No more than two equal Lines can be drawn from any point ( as A ) without the
Circle , either to the convex de concave part of the Circumference . For , fince all
Lines drawn from A , between G and H , are less than AH , and between H and I ...
No more than two equal Lines can be drawn from any point ( as A ) without the
Circle , either to the convex de concave part of the Circumference . For , fince all
Lines drawn from A , between G and H , are less than AH , and between H and I ...
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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.
Bibliographic information
| Title | A Royal Road to Geometry: Or, an Easy and Familiar Introduction to the Mathematics. ... By Thomas Malton. ... |
| Author | Thomas Malton |
| Publisher | author, and sold, 1774 |
| Original from | Oxford University |
| Digitized | 19 Apr 2006 |
| Length | 440 pages |
| Export Citation | BiBTeX EndNote RefMan |