## Elements of Geometry |

### From inside the book

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**plane**geometry , and four of solid geometry . The first section , entitled first principles , & c . contains the properties of straight lines which meet those of perpendiculars , the theorem upon the sum of the**angles**of a triangle ... Page 1

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**plane**is a surface , in which any two points being taken , the straight line joining those points lies wholly in ...**Angles**, like other quantities , are susceptible of addition ELEMENTS OF GEOMETRY. ... Page 2

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**angle**BAC ( fig . 4 ) , less than a right**angle**, is an acute**angle**; and every**angle**, DEF , greater than a right**angle**is an obtuse**angle**. Fig . 4 . Fig . 5 . 13. A**plane**figure is a**plane**terminated on all sides by lines . If the ... Page 3

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**angles**not adjacent , as AC ( fig . 42 ) . 19. An equilateral polygon is one which has all its sides equal ; an ...**PLANE**FIGURES Axioms . 3. Page 4

Adrien Marie Legendre. PART FIRST . Fig . 17 . OF

Adrien Marie Legendre. PART FIRST . Fig . 17 . OF

**PLANE**FIGURES . SECTION FIRST . First Principles , or the Properties of perpendicular , oblique , and parallel Lines . 27. ALL right**angles**...**angle**EGH = HGF , it follows that ACK = KCB .### Other editions - View all

### Common terms and phrases

ABC fig ABCD adjacent altitude angle ACB applied base called centre chord circ circle circumference circumscribed common cone consequently considered construction contained convex surface Corollary cylinder Demonstration described diameter difference distance divided draw drawn entire equal equivalent example extremities faces figure follows formed four give given greater half hence homologous sides inclination inscribed join less let fall manner mean measure meet moreover multiplied namely opposite parallel parallelogram parallelopiped pass perimeter perpendicular plane plane angles polyedron polygon prism PROBLEM proportional proposition pyramid radii radius ratio reason rectangle regular polygon respect right angles Scholium sector segment sides similar solid angle Solution sphere spherical square straight line suppose surface taken THEOREM third triangle ABC triangular pyramids vertex vertices whence