Rider Papers on Euclid: Books i and Ii, Graduated and Arranged in Order of Difficulty; with an Introduction on Teaching Euclid
Macmillan, 1891 - 79 páginas
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Rider Papers on Euclid (Books I and II); Graduated and Arranged in Order of ...
Sin vista previa disponible - 2015
Términos y frases comunes
ABCD ALGEBRA angle ABC angle BAC angle contained angle equal Answers ARITHMETIC base BEGINNERS Books Cambridge circle Class College College of Preceptors Construct Crown 8vo describe diagonals difference double draw draw a straight drawn DYNAMICS Edition ELEMENTARY equal to half equidistant equilateral triangle Euclid EXAMINATION Examples EXERCISES exterior angle figure of Prop finite straight line four GEOMETRY given finite straight given point given straight line Globe 8vo greater Illustrated intersect isosceles triangle Join joins the middle less LONDON MACMILLAN Master Mathematical medians meet middle points opposite angles opposite sides parallel parallelogram pass perpendicular PLANE PRACTICAL preparation PROBLEMS produced Prof Prop Propositions Prove quadrilateral figure Questions rectangle contained respectively Riders right angles right-angled triangle SCHOOLS Show side AC sides equal solution square student taken teachers teaching TREATISE triangle ABC TRIGONOMETRY twice vertex vertical whole
Página 63 - PROP. VIII. THEOR. If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that part.
Página 23 - 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 59 - Any two sides of a triangle are together greater than the third side.
Página 60 - IF a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles.
Página 63 - If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced and the part of it produced, together •with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced.
Página 58 - 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 62 - In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle.
Página 62 - If the square described upon one of the sides of a triangle, be equal to the squares described upon the other two sides of it ; the angle contained by these two sides is a right angle.