## Intermediate Geometry: Being Sections V and VI of "geometry, Theoretical and Practical". |

### From inside the book

Page 437

If two triangles ( or two parallelograms )

If two triangles ( or two parallelograms )

**have one angle of the one equal to one angle of the other**, their areas are in the ratio of the products of the sides containing the equal angles . ( i ) In Fig . 444 , LB LE .### What people are saying - Write a review

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### Other editions - View all

Intermediate Geometry: Being Sections V and VI of Geometry, Theoretical and ... Walter Percy Workman No preview available - 2019 |

Intermediate Geometry: Being Sections V and VI of Geometry, Theoretical and ... Walter Percy Workman No preview available - 2019 |

### Common terms and phrases

ABCD B.Sc base bisects Book called centre centre of similitude CHAPTER chord common complete concurrent constant Construct conversely corresponding described diagonals diameter difference distance divided draw drawn Edition equal EXERCISES externally faces figure fixed four Geometry given circles given line given point given straight line harmonic Hence inscribed internally intersection inverse irrational length lies locus mean measure meet numbers pair parallel parallel planes parallelogram parallelopiped passes perpendicular Picture polygon possible practical produced Proof proportional quadrilateral quantities radius ratio rectangle contained regular Required to prove respectively right angles Second segments Show sides similar Similarly solid sphere square straight line tangents tetrahedron THEOREM third three lines triangle triangle ABC Tutorial

### Popular passages

Page 570 - 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.

Page 584 - If from the vertical angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle.

Page 575 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.

Page 424 - IN a right-angled triangle, if a perpendicular be drawn from the right angle to the base, the triangles on each side of it are similar to the whole triangle, and to one another.

Page 10 - The historical part is concise and clear, but the criticism is even more valuable, and a number of illustrative extracts contribute a most useful feature to the volume.

Page 571 - 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.

Page 16 - The object of the UNIVERSITY TUTORIAL SERIES is to provide candidates for examinations and learners generally with text-books which shall convey in the simplest form sound instruction in accordance with the latest results of scholarship and scientific research. Important points are fully and clearly treated, and care has been taken not to introduce details which are likely to perplex the beginner. The Publisher will be happy to entertain applications from Schoolmasters for specimen copies of any...

Page 583 - If four straight lines be proportionals, the rectangle contained by the extremes is equal to the rectangle contained by the means...

Page 574 - If a parallelogram and a triangle be on the same base and between the same parallels, the parallelogram shall be double of the triangle.

Page 574 - Equal triangles, on equal bases, in the same straight line, and on the same side of it, are between the same parallels. Let...