A Royal Road to Geometry: Or, an Easy and Familiar Introduction to the Mathematics. ... By Thomas Malton. ...author, and sold, 1774 - 440 pages |
From inside the book
Page iv
... Angles , of every Triangle , are equal to two right ones ; it feems abfurd to prove , before hand , that any two of the Angles are lefs than two right Angles , and , that the external Angle , is greater than either of the remote ones ...
... Angles , of every Triangle , are equal to two right ones ; it feems abfurd to prove , before hand , that any two of the Angles are lefs than two right Angles , and , that the external Angle , is greater than either of the remote ones ...
Page 7
... Right Line or freight Ruler be any how applied , it will touch in every Point . Or , if any two Points , in a Plane ... Angles are either right - lined , as A or B ; curved , as C , D and E ; or mixed , as F and G ; which are com ...
... Right Line or freight Ruler be any how applied , it will touch in every Point . Or , if any two Points , in a Plane ... Angles are either right - lined , as A or B ; curved , as C , D and E ; or mixed , as F and G ; which are com ...
Page 8
... Angle , on each Side , equal to the other . Thus ; if the Angles ACD , DC B , are equal to one another , then CD is perpendicular to AB . N. B. No more than one Perpendicular can be drawn from the fame Point in a Right Line , on the ...
... Angle , on each Side , equal to the other . Thus ; if the Angles ACD , DC B , are equal to one another , then CD is perpendicular to AB . N. B. No more than one Perpendicular can be drawn from the fame Point in a Right Line , on the ...
Page 9
... Right Angle be produced , or drawn out beyond the Vertex , there is neceffarily generated another Right Angle . And , confequently , if both Sides are produced , there will be generated four Right Angles . Thus , ABC is a Right Angle ...
... Right Angle be produced , or drawn out beyond the Vertex , there is neceffarily generated another Right Angle . And , confequently , if both Sides are produced , there will be generated four Right Angles . Thus , ABC is a Right Angle ...
Page 13
... RIGHT - ANGLED TRIANGLE A is one that has a Right Angle . B. 2. The Side A C , oppofite the Right Angle , is called the HYPOTHENUSE . DEF . 31. 5. An OBTUSE ANGLED TRI- ANGLE is one which has an Obtufe Angle . C. N. B. The two last are ...
... RIGHT - ANGLED TRIANGLE A is one that has a Right Angle . B. 2. The Side A C , oppofite the Right Angle , is called the HYPOTHENUSE . DEF . 31. 5. An OBTUSE ANGLED TRI- ANGLE is one which has an Obtufe Angle . C. N. B. The two last are ...
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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 alfo alfo equal alſo Altitudes Angle ABC Area Bafe Baſe becauſe bifected Center Chord Circle circumfcribing Circumference Cone conf confequently Conftruction contains cuting Cylinder defcribe Demonftration Diagonal Diameter divided Divifions draw drawn Ellipfis equal Angles equiangular Euclid external Angle fame manner fame Plane fame Ratio fecond fhall Figure fimilar fince firft firſt fome fquare fubtends fuch fuppofe Geometry given Line greater half Heptagon Ifofceles Inches infcribed interfecting laft lefs manifeft mean Proportional meaſure multiplied neceffary Nonagon oppofite parallel Parallelogram Parallelopiped Pentagon perpendicular pleaſure Point Poligon Prifm Priſm Prob Propofition Pyramid Quantities Radius reaſon Rect Rectangle refpectively Right Angles Right Line Segment Sides Sphere Square Tangent THEOREM thofe thoſe Trapezium Triangle ABC uſe wherefore whofe
Popular passages
Page 118 - When you have proved that the three angles of every triangle are equal to two right angles...
Page 215 - 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 279 - 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 278 - 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 180 - 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 242 - 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 155 - 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 154 - 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 244 - 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 118 - Angles, taken together, is equal to Twice as many Right Angles, wanting four, as the Figure has Sides.