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Plane and Solid Geometry: Mensuration of Plane and Solid Figures - Prof. Ongco, Schemes and Mind Maps of Natural Science

A comprehensive overview of the fundamental concepts in plane and solid geometry, including the study of points, lines, planes, angles, polygons, triangles, quadrilaterals, circles, polyhedra, prisms, cylinders, pyramids, cones, frustums, prismatoids, truncated prisms, spheres, and other miscellaneous solids. It covers the mensuration (measurement) of these geometric shapes and figures, which is essential for various applications in engineering, architecture, surveying, and other fields. The content is organized into two main parts: part 1 focuses on the mensuration of plane figures, while part 2 covers the mensuration of solid figures. This document serves as a valuable resource for students, professionals, and anyone interested in understanding the principles and techniques of plane and solid geometry.

Typology: Schemes and Mind Maps

2022/2023

Uploaded on 08/30/2023

janrel-laurel
janrel-laurel ๐Ÿ‡ต๐Ÿ‡ญ

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PLANE AND SOLID
GEOMETRY
PART 1
MENSURATION
OF PLANE
FIGURES
PART 2
MENSURATION
OF SOLID
FIGURES
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PLANE AND SOLID

GEOMETRY

PART 1

MENSURATION

OF PLANE

FIGURES

PART 2

MENSURATION

OF SOLID

FIGURES

M

CONTENT OUTLINE โ— POINTS, LINES, PLANES AND ANGLES โ— POLYGONS โ— TRIANGLES โ— QUADRILATERALS โ— CIRCLES โ— MISCELLANEOUS PLANES

UNDEFINED TERMS:

POINTS, LINES, PLANES,

AND ANGLES

M Chapter 1

โ€” EUCLID โ€œWhat has been affirmed without proof can also be denied without proof.โ€

LINE 0 2 No thickness, extending infinitely in both directions 0 2

RAY โ— straight line which is limited from one side and infinite from another side A

PARALLEL LINES โ— straight lines which lie in the same plane and do not intersect no matter how long they are extended L L

INTERSECTING LINES

โ— two or more different lines that meet at the same point L L

V

BROKEN LINE โ— a set of line segments connected end to end A B C

A

B

C

COLLINEAR โ— points lying on the same line A B

PLANE 0 3 A flat surface that has length and width but no thickness. 0 3

If two planes intersect, their intersection is a straight line.

If two planes are perpendicular to the third plane, their intersection is also perpendicular to that plane.

Points that lie on the same plane are said to be coplanar. A

B

C