Rider Papers on Euclid (books I. and II.)Macmillan, 1891 - 79 sider |
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Side 27
... . 2. If ABC is a triangle having the angles at A and B equal to half two given angles P and Q , and if at the point C the angles ACD , BCE be described equal respectively to half P and Q , the lines CD EUCLID , BOOKS I. AND II . 27.
... . 2. If ABC is a triangle having the angles at A and B equal to half two given angles P and Q , and if at the point C the angles ACD , BCE be described equal respectively to half P and Q , the lines CD EUCLID , BOOKS I. AND II . 27.
Side 28
Rupert Deakin. respectively to half P and Q , the lines CD , CE meeting the base AB within the triangle , then CDE will be a triangle having its perimeter equal to AB , and the angles at the base equal to P and Q. 3. Draw a straight line ...
Rupert Deakin. respectively to half P and Q , the lines CD , CE meeting the base AB within the triangle , then CDE will be a triangle having its perimeter equal to AB , and the angles at the base equal to P and Q. 3. Draw a straight line ...
Side 42
... respectively perpendicular to two others , the angle between the former is equal to the angle between the latter . 2. Construct a rectilineal figure equal to a given recti- lineal figure , and having fewer sides by one than the given ...
... respectively perpendicular to two others , the angle between the former is equal to the angle between the latter . 2. Construct a rectilineal figure equal to a given recti- lineal figure , and having fewer sides by one than the given ...
Side 44
... two right - angled parallelograms , each double of the triangle ABC , are cut away . Prove that two squares may be left equal respectively to the squares on AB and BC . 5. The square described on the diagonal of a given 44 RIDER PAPERS .
... two right - angled parallelograms , each double of the triangle ABC , are cut away . Prove that two squares may be left equal respectively to the squares on AB and BC . 5. The square described on the diagonal of a given 44 RIDER PAPERS .
Side 69
... respectively ; and AE , EF , AF are drawn . Prove that AAEF is three - eighths of the square . 8. Euclid I. 42 . 9. ABC is a right - angled triangle , A the right angle ; squares BDEC , ABFG are described externally on BC , BA respectively ...
... respectively ; and AE , EF , AF are drawn . Prove that AAEF is three - eighths of the square . 8. Euclid I. 42 . 9. ABC is a right - angled triangle , A the right angle ; squares BDEC , ABFG are described externally on BC , BA respectively ...
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Rider Papers on Euclid: Books I. And II.; Graduated and Arranged in Order of ... Rupert Deakin Ingen forhåndsvisning tilgjengelig - 2016 |
Vanlige uttrykk og setninger
adjacent sides angle ABC angle BAC angle contained angle equal ARCHIBALD GEIKIE ARITHMETIC base BC BEGINNERS bisector bisects the angle Cambridge Clifton College Crown 8vo diagonals draw a straight Edition ELEMENTARY ALGEBRA equal sides equal to BC equal to half equidistant equilateral triangle EUCLID'S ELEMENTS exterior angle fcap figure is equal figure of Prop Find a point finite straight line GEOMETRY given finite straight given point given straight line Globe 8vo greater hypothenuse isosceles triangle joins the middle JOSEPH WOLSTENHOLME KING EDWARD'S SCHOOL line be divided line joining line which bisects line which joins MACMILLAN Mathematical medians middle points opposite angles opposite sides parallel straight lines parallelogram produced Prof rectangle contained rhombus Riders right angles right-angled triangle set on Books Show side AB equal sides BC sides equal straight lines drawn T. H. HUXLEY third side triangle is equal TRIGONOMETRY twice the rectangle vertex W. K. CLIFFORD
Populære avsnitt
Side 8 - Prize Essay for 1877. 8vC. &r. 6d. SMITH— Works by the Rev. BARNARD SMITH, MA, Rector of Glaston, Rutland, late Fellow and Senior Bursar of St. Peter's College, Cambridge. ARITHMETIC AND ALGEBRA, in their Principles and Application ; with numerous systematically arranged Examples taken from the Cambridge Examination Papers, with especial reference to the Ordinary Examination for the BA Degree.
Side 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.
Side 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.
Side 59 - Any two sides of a triangle are together greater than the third side.
Side 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.
Side 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.
Side 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.
Side 9 - OF EUCLID'S ELEMENTS. Including Alternative Proofs, together with additional Theorems and Exercises, classified and arranged. By HS HALL, MA, and FH STEVENS, MA, Masters of the Military and Engineering Side, Clifton College. Gl.
Side 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.
Side 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.