# The Solutions of the Geometrical Problems: Consisting Chiefly of Examples in Plane Co-ordinate Geometry, Proposed at St. John's College, Cambridge, from Dec. 1830 to Dec. 1846. With an Appendix, Containing Several General Properties of Curves of the Second Order, and the Determination of the Magnitude and Position of the Axes of the Conic Section Represented by the General Equation of the Second Degree

J. & J. J. Deighton, 1847 - 263 sider
0 Anmeldelser
Anmeldelsene blir ikke bekreftet, men Google ser etter falskt innhold og fjerner slikt innhold som avdekkes

### Hva folk mener -Skriv en omtale

Vi har ikke funnet noen omtaler pċ noen av de vanlige stedene.

### Innhold

 Del 1 1 Del 2 10 Del 3 54 Del 4 56 Del 5 64 Del 6 166 Del 7 179
 Del 8 259 Del 9 265 Del 10 Del 11 Del 12 Del 13 Del 14

### Populĉre avsnitt

Side 54 - If two triangles which have two sides of the one proportional to two sides of the other, be joined at one angle, so as to have their homologous sides parallel to one another ; the remaining sides shall be in a straight line. Let ABC, DCE be two triangles which have the two sides BA, AC proportional to the two CD, DE, viz.
Side 117 - Similar triangles are to one another in the duplicate ratio of their homologous sides.
Side 117 - IF from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle,. shall be equal to the square of the line which touches it.
Side 96 - The rectangle contained by the diagonals of a quadrilateral ,figure inscribed in a circle, is equal to both the rectangles contained by i'ts opposite sides.
Side 16 - MAGNITUDES which have the same ratio to the same magnitude are equal to one another ; and those to which the same magnitude has the same ratio are equal to one another.
Side 28 - To divide a given straight line into two parts, so that the rectangle contained by the whole and one part may be equal to the square on the other part*.
Side 28 - THEOREM. lf the first has to the second the same ratio which the third has to the fourth, but the third to the fourth, a greater ratio than the fifth has to the sixth ; the first shall also have to the second a greater ratio than the fifth, has to the sixth.
Side 10 - ... not in the same plane with the first two ; the first two and the other two shall contain equal angles.
Side 87 - The locus of the middle points of a system of parallel chords in a parabola is called a diameter.