# Geometry Without Axioms; Or the First Book of Euclid's Elements. With Alterations and Familiar Notes; and an Intercalary Book in which the Straight Line and Plane are Derived from Properties of the Sphere ...: To which is Added an Appendix ...

Robert Heward, 1833 - 150 من الصفحات

### ما يقوله الناس -كتابة مراجعة

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### المحتويات

 القسم 1 6 القسم 2 25 القسم 3 29 القسم 4 46
 القسم 5 48 القسم 6 50 القسم 7 94 القسم 8 101

### مقاطع مشهورة

الصفحة 51 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it.
الصفحة 109 - PARALLELOGRAMS upon the same base, and between the same parallels, are equal to one another...
الصفحة 111 - Parallelograms upon the same base and between the same parallels, are equal to one another.
الصفحة 120 - If the square described on one of the sides of a triangle be equal to the squares described on the other two sides of it, the angle contained by these two sides is a right angle.
الصفحة 72 - Any two sides of a triangle are together greater than the third side.
الصفحة 55 - From the greater of two given straight lines to cut off a part equal to the less. Let AB and C be the two given straight lines, whereof AB is the greater.
الصفحة 103 - ... twice as many right angles as the figure has sides.
الصفحة 70 - Any two angles of a triangle are together less than two right angles.
الصفحة 138 - ... the exterior angle equal to the interior and opposite on the same side of the line ; and likewise the two interior angles on the same side of the line together equal to two right angles.
الصفحة 106 - THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel.