The proof is given that, if three equilateral triangles are constructed on the sides of a right triangle, then the sum of the areas on the sides equals the area on the hypotenuse. This is based on one of the hundreds of proofs that exist for the Pythogorean theorem. (MP)

Worksheets are provided for use by students in grades 8 and above when sectioning a tetrahedron. Lesson objectives include the discovery of generalizations regarding the cross-sections of a tetrahedron. (MK)

This textbook is a course in Euclidian geometry conic sections. It was translated by the original Latin, and was revised, corrected and enlarged.

This is part two of a three-part School Mathematics Study Group (SMSG) textbook. This part includes the index and chapters 6 through 10: (6) Curve Sketching and Locus Problems, (7) Conic Sections, (8) The Line and the Plane in 3-Space, (9) Quadric Surfaces, and (10) Geometric Transformations. (MK)

This is unit twelve of a fifteen-unit SMSG secondary school text for high school students. The text is devoted almost entirely to mathematical concepts which all citizens should know in order to function satisfactorily in our society. Chapter topics include rigid motions and coordinates, squares and rectangles, and square roots and real numbers.…

This module, designed to help students find and identify various geometric shapes and solids, contains 26 worksheets. Topics covered by these worksheets include: identification and grouping of objects with particular patterns, work with pentagons, hexagons, spirals, and symmetry. Teaching suggestions are included. (MK)

This is part one of a three-part School Mathematics Study Group (SMSG) textbook. This part contains the first five chapters including: (1) Analytic Geometry, (2) Coordinates and the Line, (3) Vectors and Their Applications, (4) Proof by Analytic Methods, and (5) Graphs and Their Equations. (MK)

Activities designed to lead pupils through the process of using the basic measuring and drawing devices of geometry are presented and move to the discovery of several surprising generalizations about arbitrary triangles. (MP)

This textbook commences with a brief sketch of the history of Elementary Geometry. The definitions throughout have been somewhat amplified, and several notes have been added which it is hoped may be found useful and suggestive. The subject of Ratio has been expanded; a few new propositions have been added; and there is a considerable collection of…

This textbook is designed to be used in a geometry course incorporating the writings of Euclid. The object of this edition now offered to the public, is not so much to give the writings of Euclid the form which they originally had, as that which may at present render them most useful. The author believes that the use of algebraic signs and…

This textbook covers the first six books of the elements of Euclid, the 11th and 12th books, and the book of Euclid's data. Elements of plane and spherical trigonometry are included.

This textbook is a course in surveying. Geometry, land surveying, chain surveying, plain-table surveying, theodolite surveying, hilly-ground surveying, laying out land, division of land, and levelling are covered.

This textbook covers geometry and trigonometry with addition of a fuller explanation of rectangular surveying, as well as a more particular explanation of the use of natural sines. The book's primary goal is teaching common field surveying. This edition adds practical matter, as well as the only table of natural tangents ever published in this…

This is one in a series of SMSG supplementary and enrichment pamphlets for high school students. This series is designed to make material for the study of topics of special interest to students readily accessible in classroom quantity. Topics covered include graphs, slope, distance, mid-point, proof, equations, and circles. (MP)

Presents activities involving multiple embedded figures beginning with the problem of counting the number of squares on a checkerboard. Offers several extensions and assessment suggestions. Includes student worksheets. (MKR)