The First Book of Euclid's Elements: Arranged for Beginners
MacMillan, 1892 - 167 páginas
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Términos y frases comunes
ABC is equal ABCD adjacent angle ABC angle ACB angle BAC angle equal angular point applied base base BC called centre circle coincide Consider the triangles Construction crosses describe diagonal difference direction distance double draw equal in area equal respectively equal to CD equidistant equilateral triangle exterior angle fall figure finite straight line four given angle given finite straight given point given straight line greater half included angle indicate intersect isosceles triangle length less Let ABC line BC line joining lines drawn meet middle point opposite sides pair parallel parallelogram perpendicular plane portion position produced Proof Prop Proposition Q.E.D. EXAMPLES quadrilateral Question radius represent required to prove right angles Shew side BC sides equal solid square straight angle surface triangle ABC triangles are equal turning twice Wherefore
Página 28 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Página 72 - If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line.
Página 48 - From the greater of two given straight lines to cut off a part equal to the less. Let AB and C be the two given straight lines, whereof AB is the greater.
Página 155 - 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 ; it is required to draw a straight line through the point A, parallel to the straight hue BC.
Página 118 - THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel.
Página 153 - ... is equal to the sum of the areas of the squares on the other two sides.
Página 114 - 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.
Página 139 - DE : but equal triangles on the same base and on the same side of it, are between the same parallels ; (i.
Página 125 - The line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of the third side.
Página 54 - To draw a straight line at right angles to a given straight line, from a given point in the same.