## Elements of geometry: Being chiefly a selection from Playfair's geometry |

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### Common terms and phrases

ABCD AC is equal alternate angles angle ABC angle ACB angle BAC angles equal base ABC bases and altitudes bisect centre chord circumference cone Consequently cylinder demonstrations described diagonals diameter divided draw equal angles equal arches equal bases equal circles equal to AC equal to half equiangular Euclid's Euclid's Elements exterior angle fore four quantities four right angles geometry given straight line gles greater Hence homologous sides intersect KLMN less Let ABC magnitude meet opposite angles opposite side paral parallel lines parallelograms parallelopipeds perp perpendicular plane polygon prism Prop pyramid Q. E. D. Cor Q. E. D. PROPOSITION quantities be proportional radius rectangle contained right angled triangle Scholium secant segments semicircle side AC similar similar triangles solid square straight line &c subtended tangent THEOREM triangle ABC vertex Wherefore

### Popular passages

Page ii - IDE, of the said District, hath deposited in this office, the title of a book, the right whereof he claims as proprietor, in the words following, to wit : " Inductive Grammar, designed for beginners. By an Instructer." In conformity to the act of the Congress of the United States...

Page 36 - Any two sides of a triangle are together greater than the third side.

Page 80 - If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.

Page 42 - To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line...

Page 30 - To bisect a given finite straight line, that is, to divide it into two equal parts. Let AB be the given straight line : it is required to divide it intotwo equal parts.

Page 20 - LET it be granted that a straight line may be drawn from any one point to any other point.

Page 38 - Problem. At a given point in a given straight line to make a rectilineal angle equal to a given rectilineal angle.

Page 113 - Wherefore also the angle BAD is equal to the angle CAD : Therefore the angle BAC is cut into two equal angles by the straight line AD.

Page 24 - DE ; the point B shall coincide with the point E, because AB is equal to DE; and AB coinciding with DE, AC shall coincide...

Page 36 - The greater angle of every triangle is subtended by the greater side, or has the greater side opposite to it.