## Euclidian Geometry |

### From inside the book

Results 1-5 of 61

Page 1

... superficies are lines . ness . A plane is a superficies in which any two points being taken the

... superficies are lines . ness . A plane is a superficies in which any two points being taken the

**straight line joining**them lies wholly in that superficies . C. G. 41 Ι An angle is formed by two lines drawn from a PLANE GEOMETRY. ... Page 11

Francis Cuthbertson. PROBLEM A. Describe an equilateral triangle upon a given

Francis Cuthbertson. PROBLEM A. Describe an equilateral triangle upon a given

**straight line**. D Let AB be the given ...**join**CA , CB . Then ABC shall be the equilateral triangle required . A is the centre of the • B is the centre of the ... Page 12

...

...

**Join**AF ; then △ DAE shall be bisected by AF . Then L**Join**BF , CF. . in the As ABF , ACF , BA is CA , BF≈ CF , and AF is common ; = ... the As ABF , ACF are ...**straight line**. 72 12**STRAIGHT LINES**, ANGLES AND TRIANGLES . PROBLEM B. ... Page 13

Francis Cuthbertson. PROBLEM C. To bisect a given

Francis Cuthbertson. PROBLEM C. To bisect a given

**straight line**. 72 Let AB be the given**straight line**. It is required to bisect it . With centres A and B describe two circles having . equal radii intersecting in C , D. and**Join**CD ... Page 16

Francis Cuthbertson. PROPOSITION VII . It is always possible to draw a

Francis Cuthbertson. PROPOSITION VII . It is always possible to draw a

**straight line**perpendicular to a given ...**Join**AF . Then AF shall be to BC .**Join**DF , EF . ·· DA is = EA , DF = EF , and AF common to the two AS DAF , EAF , .. these ...### Other editions - View all

### Common terms and phrases

Algebra base Cambridge centre chord circumference cloth Conic Sections Crown 8vo Describe a circle diagonals diameter divided draw a straight ELEMENTARY TREATISE English equiangular equilateral Euclid Examples Extra fcap fcap GEOMETRY given angle given circle given point given straight line Grammar greater H Let Hence inscribed intersecting isosceles triangle Latin Let ABC line bisecting locus Mathematical meet opposite angles Owens College parallel parallelogram perimeter perpendicular plane polygon PROBLEM produced Professor proportional PROPOSITION ratio rect rectangle rectangle contained rectilineal figure regular polygon respectively revised rhombus right angles Schools Second Edition segment similar Similarly squares on AC straight line drawn straight line joining tangent THEOREM TRIGONOMETRY twice rectangle twice the squares vertex